अरुण और बाला का अनुपात (5:3) है। चेतन को लाभ में (1/4) हिस्सा दिया गया और शेष लाभ पुराने अनुपात में बांटा गया। नया अनुपात क्या होगा?
Arun and Bala share profits in (5:3). Chetan is admitted for (1/4) share and the remaining profit is shared in the old ratio. What is the new ratio?
#admission
#new profit sharing ratio
#remaining share
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A अरुण (15 / 32), बाला (9 / 32), चेतन (8 / 32) / Arun (15 / 32), Bala (9 / 32), Chetan (8
B अरुण (5 / 8), बाला (3 / 8), चेतन (1 / 4) / Arun (5 / 8), Bala (3 / 8), Chetan (1
C अरुण (5 / 12), बाला (3 / 12), चेतन (4 / 12) / Arun (5 / 12), Bala (3 / 12), Chetan (4
D अरुण (20 / 32), बाला (12 / 32), चेतन (8 / 32) / Arun (20 / 32), Bala (12 / 32), Chetan (8
Explanation opens after your attempt
Correct Answer
A. अरुण (15 / 32), बाला (9 / 32), चेतन (8 / 32) / Arun (15 / 32), Bala (9 / 32), Chetan (8
Step 1
Concept
The remaining share is (3/4) and dividing it in (5:3) gives (15/32) and (9/32). In exams find the remaining share first.
Step 2
Why this answer is correct
The correct answer is A. अरुण (15 / 32), बाला (9 / 32), चेतन (8 / 32) / Arun (15 / 32), Bala (9 / 32), Chetan (8. The remaining share is (3/4) and dividing it in (5:3) gives (15/32) and (9/32). In exams find the remaining share first.
Step 3
Exam Tip
शेष हिस्सा (3/4) है और इसे (5:3) में बांटने पर (15/32) और (9/32) मिलते हैं। परीक्षा में पहले शेष हिस्सा निकालें।
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पुराने साझेदारों का अनुपात (7:5) है। नया साझेदार (1/6) हिस्सा केवल पहले साझेदार से लेता है। नया अनुपात क्या होगा?
Old partners share in (7:5). The new partner takes (1/6) share only from the first partner. What is the new ratio?
#admission
#sole sacrifice
#new ratio
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A (7:5:2)
B (5:5:2)
C (10:15:6)
D (14:10:3)
Explanation opens after your attempt
Correct Answer
B. (5:5:2)
Step 1
Concept
The first partner's old share was (7/12) and (1/6) is deducted from it. The shares become (5/12,5/12,2/12).
Step 2
Why this answer is correct
The correct answer is B. (5:5:2). The first partner's old share was (7/12) and (1/6) is deducted from it. The shares become (5/12,5/12,2/12).
Step 3
Exam Tip
पहले साझेदार का पुराना हिस्सा (7/12) था और उसमें से (1/6) घटेगा। इसलिए हिस्से (5/12,5/12,2/12) बनते हैं।
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पुराने साझेदार (4:3:2) में लाभ बांटते हैं। नया साझेदार (1/5) हिस्सा पुराने साझेदारों से उनके पुराने अनुपात में लेता है। नया अनुपात क्या होगा?
Old partners share profits in (4:3:2). A new partner takes (1/5) share from old partners in their old ratio. What is the new ratio?
#old ratio
#admission
#combined share
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A (16:12:8:9)
B (4:3:2:5)
C (20:15:10:9)
D (8:6:4:5)
Explanation opens after your attempt
Correct Answer
A. (16:12:8:9)
Step 1
Concept
The old partners' remaining share is (4/5) and it is divided in (4:3:2). So the new shares are (16/45,12/45,8/45,9/45).
Step 2
Why this answer is correct
The correct answer is A. (16:12:8:9). The old partners' remaining share is (4/5) and it is divided in (4:3:2). So the new shares are (16/45,12/45,8/45,9/45).
Step 3
Exam Tip
पुरानों का शेष हिस्सा (4/5) है जिसे (4:3:2) में बांटा गया। इसलिए नए हिस्से (16/45,12/45,8/45,9/45) हैं।
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राज, सीमा और मोहन (5:4:3) में साझेदार हैं। नील को (1/6) हिस्सा दिया गया जिसमें से राज (1/12) और सीमा (1/12) त्याग करते हैं। नया अनुपात क्या होगा?
Raj, Seema and Mohan are partners in (5:4:3). Neel is admitted for (1/6) share of which Raj sacrifices (1/12) and Seema sacrifices (1/12). What is the new ratio?
#specific sacrifice
#new partner
#ratio
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A (4:3:3:2)
B (5:4:3:2)
C (10:8:6:4)
D (3:4:5:2)
Explanation opens after your attempt
Correct Answer
A. (4:3:3:2)
Step 1
Concept
Raj becomes (5/12-1/12=4/12), Seema becomes (3/12), and Mohan remains (3/12). Neel is (2/12).
Step 2
Why this answer is correct
The correct answer is A. (4:3:3:2). Raj becomes (5/12-1/12=4/12), Seema becomes (3/12), and Mohan remains (3/12). Neel is (2/12).
Step 3
Exam Tip
राज (5/12-1/12=4/12), सीमा (4/12-1/12=3/12), मोहन (3/12) रहता है। नील (2/12) है।
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दो पुराने साझेदारों का अनुपात (3:2) है। नया साझेदार पहले साझेदार के हिस्से का (1/5) और दूसरे साझेदार के हिस्से का (1/4) प्राप्त करता है। नया अनुपात क्या होगा?
Two old partners share in (3:2). The new partner receives (1/5) of the first partner's share and (1/4) of the second partner's share. What is the new ratio?
#fraction of share
#calculation
#new ratio
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A (12:8:5)
B (48:30:17)
C (36:24:25)
D (3:2:1)
Explanation opens after your attempt
Correct Answer
B. (48:30:17)
Step 1
Concept
The sacrifices are (3/25) and (1/10). The new shares are (12/25,3/10,11/50), so the ratio is (24:15:11).
Step 2
Why this answer is correct
The correct answer is B. (48:30:17). The sacrifices are (3/25) and (1/10). The new shares are (12/25,3/10,11/50), so the ratio is (24:15:11).
Step 3
Exam Tip
पहले से त्याग \(3/5 \times 1/5=3/25\) और दूसरे से \(2/5 \times 1/4=1/10\) है। नए हिस्से (12/25,3/10,11/50) यानी (48:30:22) नहीं बल्कि सही गणना (24:15:11) होगी।
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करण और तरुण (2:1) में साझेदार हैं। वरुण को (1/4) हिस्सा दिया गया और करण तथा तरुण ने क्रमशः (1/6) और (1/12) त्याग किया। नया अनुपात क्या होगा?
Karan and Tarun share in (2:1). Varun is admitted for (1/4) share and Karan and Tarun sacrifice (1/6) and (1/12) respectively. What is the new ratio?
#sacrifice
#new ratio
#admission
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A (2:1:1)
B (1:1:1)
C (6:3:4)
D (4:2:3)
Explanation opens after your attempt
Correct Answer
A. (2:1:1)
Step 1
Concept
Karan becomes (1/2), Tarun becomes (1/4), and Varun is (1/4). The ratio is (2:1:1).
Step 2
Why this answer is correct
The correct answer is A. (2:1:1). Karan becomes (1/2), Tarun becomes (1/4), and Varun is (1/4). The ratio is (2:1:1).
Step 3
Exam Tip
करण (2/3-1/6=1/2), तरुण (1/3-1/12=1/4), वरुण (1/4) है। अनुपात (2:1:1) है।
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पुराने साझेदार (9:6:5) में हैं। नए साझेदार को (1/10) हिस्सा दिया गया जो केवल तीसरे साझेदार से लिया गया। नया अनुपात क्या होगा?
Old partners share in (9:6:5). A new partner is admitted for (1/10) share taken only from the third partner. What is the new ratio?
#sole sacrifice
#third partner
#new ratio
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A (9:6:3:2)
B (18:12:8:2)
C (9:6:4:1)
D (18:12:5:2)
Explanation opens after your attempt
Correct Answer
A. (9:6:3:2)
Step 1
Concept
The third partner's old share was (5/20). After deducting (1/10), it becomes (3/20) and the new partner gets (2/20).
Step 2
Why this answer is correct
The correct answer is A. (9:6:3:2). The third partner's old share was (5/20). After deducting (1/10), it becomes (3/20) and the new partner gets (2/20).
Step 3
Exam Tip
तीसरे का हिस्सा (5/20=1/4) था। उसमें से (1/10) घटाने पर (3/20) बचता है और नए का (2/20) है।
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यदि पुराने साझेदार (11:9) में हैं और नए साझेदार का हिस्सा (2/11) है। पुराने साझेदार शेष लाभ अपने पुराने अनुपात में बांटते हैं। नया अनुपात क्या होगा?
If old partners share in (11:9) and the new partner's share is (2/11). The old partners share the remaining profit in their old ratio. What is the new ratio?
#remaining profit
#old ratio
#expert numerical
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A (11:9:4)
B (99:81:40)
C (9:11:4)
D (77:63:20)
Explanation opens after your attempt
Correct Answer
B. (99:81:40)
Step 1
Concept
The remaining share is (9/11). Dividing it in (11:9) gives (99/220) and (81/220), and the new partner has (40/220).
Step 2
Why this answer is correct
The correct answer is B. (99:81:40). The remaining share is (9/11). Dividing it in (11:9) gives (99/220) and (81/220), and the new partner has (40/220).
Step 3
Exam Tip
शेष हिस्सा (9/11) है। इसे (11:9) में बांटने पर (99/220) और (81/220) मिलते हैं और नया (40/220) है।
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साझेदार (3:3:2) में लाभ बांटते हैं। नए साझेदार को (1/8) हिस्सा पहले और दूसरे साझेदार से बराबर-बराबर मिलता है। नया अनुपात क्या होगा?
Partners share profits in (3:3:2). A new partner gets (1/8) share equally from the first and second partners. What is the new ratio?
#equal sacrifice
#new partner
#new ratio
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A (5:5:4:2)
B (6:6:4:1)
C (20:20:16:8)
D (3:3:2:1)
Explanation opens after your attempt
Correct Answer
A. (5:5:4:2)
Step 1
Concept
The new partner gets (1/8), so each of the first two partners sacrifices (1/16). The shares are (5/16,5/16,4/16,2/16).
Step 2
Why this answer is correct
The correct answer is A. (5:5:4:2). The new partner gets (1/8), so each of the first two partners sacrifices (1/16). The shares are (5/16,5/16,4/16,2/16).
Step 3
Exam Tip
नया (1/8) है और प्रत्येक पहले दो साझेदार (1/16) त्याग करते हैं। हिस्से (5/16,5/16,4/16,2/16) हैं।
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एक फर्म में आरव और दिव्या (4:1) में हैं। ईशा को (1/5) हिस्सा दिया गया और आरव ने (1/10), दिव्या ने (1/10) त्याग किया। कौन सा निष्कर्ष सही है?
In a firm, Aarav and Divya share in (4:1). Esha is admitted for (1/5) share and Aarav sacrifices (1/10), Divya sacrifices (1/10). Which conclusion is correct?
#reasoning
#sacrifice
#new ratio
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A नया अनुपात (7:1:2) / New ratio (7:1:2)
B नया अनुपात (3:1:1) / New ratio (3:1:1)
C दिव्या का नया हिस्सा ऋणात्मक है / Divya's new share is negative
D त्याग अनुपात पुराने अनुपात जैसा है / Sacrifice ratio equals old ratio
Explanation opens after your attempt
Correct Answer
A. नया अनुपात (7:1:2) / New ratio (7:1:2)
Step 1
Concept
Aarav becomes (7/10), Divya becomes (1/10), and Esha is (2/10). So the ratio is (7:1:2).
Step 2
Why this answer is correct
The correct answer is A. नया अनुपात (7:1:2) / New ratio (7:1:2). Aarav becomes (7/10), Divya becomes (1/10), and Esha is (2/10). So the ratio is (7:1:2).
Step 3
Exam Tip
आरव (4/5-1/10=7/10), दिव्या (1/5-1/10=1/10), ईशा (2/10) है। इसलिए अनुपात (7:1:2) है।
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यदि नए साझेदार का हिस्सा (3/20) है और वह इसे दो पुराने साझेदारों से (2:1) के त्याग अनुपात में प्राप्त करता है। पुराने हिस्से (5/8) और (3/8) हैं। नया अनुपात क्या होगा?
If a new partner's share is (3/20) and it is obtained from two old partners in the sacrifice ratio (2:1). The old shares are (5/8) and (3/8). What is the new ratio?
#sacrifice ratio
#old shares
#calculation
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A (21:12:6)
B (9:6:3)
C (42:27:12)
D (19:13:6)
Explanation opens after your attempt
Correct Answer
D. (19:13:6)
Step 1
Concept
The sacrifices are (1/10) and (1/20). The new shares are (21/40,13/40,6/40), so the ratio is (21:13:6).
Step 2
Why this answer is correct
The correct answer is D. (19:13:6). The sacrifices are (1/10) and (1/20). The new shares are (21/40,13/40,6/40), so the ratio is (21:13:6).
Step 3
Exam Tip
त्याग (3/20) का (2/3=1/10) और (1/3=1/20) है। नए हिस्से (21/40,13/40,6/40) यानी (21:13:6) होंगे।
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चार पुराने साझेदार (3:2:2:1) में हैं। पांचवें साझेदार को (1/9) हिस्सा दिया गया और सभी पुराने साझेदार पुराने अनुपात में त्याग करते हैं। नया अनुपात क्या होगा?
Four old partners share in (3:2:2:1). A fifth partner is admitted for (1/9) share and all old partners sacrifice in the old ratio. What is the new ratio?
#four partners
#old ratio
#new admission
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A (24:16:16:8:9)
B (3:2:2:1:1)
C (27:18:18:9:8)
D (18:12:12:6:9)
Explanation opens after your attempt
Correct Answer
A. (24:16:16:8:9)
Step 1
Concept
The old partners' remaining share is (8/9) and it is divided in (3:2:2:1). The shares are (24:16:16:8:9).
Step 2
Why this answer is correct
The correct answer is A. (24:16:16:8:9). The old partners' remaining share is (8/9) and it is divided in (3:2:2:1). The shares are (24:16:16:8:9).
Step 3
Exam Tip
पुरानों का शेष (8/9) है और इसे (3:2:2:1) में बांटा गया। हिस्से (24/72,16/72,16/72,8/72,9/72) हैं।
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साक्षी और ज्योति (5:7) में लाभ बांटती हैं। प्रिया को (1/3) हिस्सा मिला और साक्षी तथा ज्योति का नया अनुपात (2:3) रखा गया। नया पूर्ण अनुपात क्या होगा?
Sakshi and Jyoti share profits in (5:7). Priya gets (1/3) share and Sakshi and Jyoti's new ratio is fixed at (2:3). What is the complete new ratio?
#fixed new ratio
#admission
#complete ratio
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A (4:6:5)
B (2:3:1)
C (5:7:4)
D (6:9:5)
Explanation opens after your attempt
Correct Answer
A. (4:6:5)
Step 1
Concept
The old partners' total new share is (2/3). Dividing it in (2:3) gives (4/15) and (6/15), while Priya has (5/15).
Step 2
Why this answer is correct
The correct answer is A. (4:6:5). The old partners' total new share is (2/3). Dividing it in (2:3) gives (4/15) and (6/15), while Priya has (5/15).
Step 3
Exam Tip
पुराने साझेदारों का कुल नया हिस्सा (2/3) है। इसे (2:3) में बांटने पर (4/15) और (6/15) मिलते हैं, प्रिया (5/15) है।
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पुराना अनुपात (8:7) है। नया साझेदार (1/5) हिस्सा लेता है। पहले पुराने साझेदार का नया हिस्सा (1/2) है। दूसरे पुराने साझेदार का नया हिस्सा क्या होगा?
The old ratio is (8:7). A new partner takes (1/5) share. The first old partner's new share is (1/2). What is the second old partner's new share?
#missing share
#new partner
#ratio logic
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A (3 / 10)
B (7 / 15)
C (2 / 5)
D (1 / 5)
Explanation opens after your attempt
Step 1
Concept
Total share is (1). The second partner's share is (1-1/2-1/5=3/10).
Step 2
Why this answer is correct
The correct answer is A. (3 / 10). Total share is (1). The second partner's share is (1-1/2-1/5=3/10).
Step 3
Exam Tip
कुल हिस्सा (1) है। दूसरा हिस्सा (1-1/2-1/5=3/10) होगा।
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नीरज और गोपाल (3:5) में हैं। नया साझेदार (1/4) हिस्सा लेता है। नीरज अपने पुराने हिस्से का (1/6) त्याग करता है और गोपाल शेष आवश्यक त्याग करता है। नया अनुपात क्या होगा?
Neeraj and Gopal share in (3:5). A new partner takes (1/4) share. Neeraj sacrifices (1/6) of his old share and Gopal sacrifices the remaining required sacrifice. What is the new ratio?
#remaining sacrifice
#fraction of share
#expert
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A (15:25:16)
B (15:17:16)
C (5:7:4)
D (18:22:16)
Explanation opens after your attempt
Correct Answer
B. (15:17:16)
Step 1
Concept
Neeraj sacrifices (1/16). Gopal sacrifices (3/16), so the new shares are (5/16,7/16,4/16).
Step 2
Why this answer is correct
The correct answer is B. (15:17:16). Neeraj sacrifices (1/16). Gopal sacrifices (3/16), so the new shares are (5/16,7/16,4/16).
Step 3
Exam Tip
नीरज का त्याग \(3/8 \times 1/6=1/16\) है। गोपाल का त्याग (1/4-1/16=3/16) है, इसलिए नए हिस्से (5/16,7/16,4/16) हैं।
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कविता, लता और माया (6:5:4) में हैं। रेखा को (1/5) हिस्सा मिला। कविता (1/15), लता (1/10) और माया शेष त्याग करती है। नया अनुपात क्या होगा?
Kavita, Lata and Maya share in (6:5:4). Rekha is admitted for (1/5) share. Kavita sacrifices (1/15), Lata (1/10), and Maya sacrifices the balance. What is the new ratio?
#balance sacrifice
#three partners
#new ratio
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A (5:7:6:6)
B (10:7:4:6)
C (8:7:5:6)
D (6:5:4:3)
Explanation opens after your attempt
Correct Answer
B. (10:7:4:6)
Step 1
Concept
Total sacrifice is (1/5). Maya's sacrifice is (1/30), so the shares are (1/3,7/30,7/30,1/5), giving (10:7:7:6).
Step 2
Why this answer is correct
The correct answer is B. (10:7:4:6). Total sacrifice is (1/5). Maya's sacrifice is (1/30), so the shares are (1/3,7/30,7/30,1/5), giving (10:7:7:6).
Step 3
Exam Tip
कुल त्याग (1/5) है। माया का त्याग (1/5-1/15-1/10=1/30) है, इसलिए हिस्से (1/3,7/30,7/30,1/5) नहीं बल्कि (10:7:7:6) होंगे।
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पुराने साझेदारों के हिस्से (1/2,1/3,1/6) हैं। नए साझेदार को (1/4) हिस्सा पहले दो साझेदारों से बराबर मिलता है। नया अनुपात क्या होगा?
Old partners' shares are (1/2,1/3,1/6). The new partner gets (1/4) share equally from the first two partners. What is the new ratio?
#unequal old shares
#equal sacrifice
#new ratio
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A (9:5:4:6)
B (6:4:2:3)
C (3:2:1:2)
D (12:8:4:6)
Explanation opens after your attempt
Correct Answer
A. (9:5:4:6)
Step 1
Concept
The first two partners sacrifice (1/8) each. The new shares are (3/8,5/24,1/6,1/4), giving (9:5:4:6).
Step 2
Why this answer is correct
The correct answer is A. (9:5:4:6). The first two partners sacrifice (1/8) each. The new shares are (3/8,5/24,1/6,1/4), giving (9:5:4:6).
Step 3
Exam Tip
पहले दो साझेदार (1/8) प्रत्येक त्याग करते हैं। नए हिस्से (3/8,5/24,1/6,1/4) हैं यानी (9:5:4:6)।
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यदि पुराने साझेदारों का अनुपात (2:3:5) है और नया साझेदार (1/10) हिस्सा तीसरे साझेदार से ही लेता है, तो त्याग अनुपात क्या होगा?
If old partners share in (2:3:5) and the new partner takes (1/10) share only from the third partner, what is the sacrificing ratio?
#sacrificing ratio
#sole sacrifice
#concept
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A (2:3:5)
B (0:0:1)
C (1:1:1)
D (2:3:0)
Explanation opens after your attempt
Correct Answer
B. (0:0:1)
Step 1
Concept
Only the third partner sacrifices. Therefore the sacrificing ratio is (0:0:1).
Step 2
Why this answer is correct
The correct answer is B. (0:0:1). Only the third partner sacrifices. Therefore the sacrificing ratio is (0:0:1).
Step 3
Exam Tip
केवल तीसरा साझेदार त्याग कर रहा है। इसलिए त्याग अनुपात (0:0:1) होगा।
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पुराना अनुपात (5:3:2) है। नया अनुपात (4:3:2:1) है। नए साझेदार को हिस्सा किस अनुपात में मिला?
The old ratio is (5:3:2). The new ratio is (4:3:2:1). In what ratio did the new partner receive share from the old partners?
#old new comparison
#sacrificing ratio
#admission
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A (1:0:0)
B (5:3:2)
C (4:3:2)
D (0:0:1)
Explanation opens after your attempt
Correct Answer
A. (1:0:0)
Step 1
Concept
The old shares were (5/10,3/10,2/10), and the new shares are (4/10,3/10,2/10). Only the first partner sacrificed (1/10).
Step 2
Why this answer is correct
The correct answer is A. (1:0:0). The old shares were (5/10,3/10,2/10), and the new shares are (4/10,3/10,2/10). Only the first partner sacrificed (1/10).
Step 3
Exam Tip
पुराने हिस्से (5/10,3/10,2/10) थे और नए में (4/10,3/10,2/10) हैं। केवल पहले ने (1/10) त्याग किया।
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पुराना अनुपात (3:2) था। नया अनुपात (7:5:4) है। नए साझेदार का हिस्सा कितना है?
The old ratio was (3:2). The new ratio is (7:5:4). What is the new partner's share?
#new ratio
#share identification
#basic expert
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A (1 / 4)
B (4 / 12)
C (4 / 16)
D (7 / 16)
Explanation opens after your attempt
Step 1
Concept
The sum of the new ratio is (16), and the new partner's share is (4/16). This equals (1/4).
Step 2
Why this answer is correct
The correct answer is C. (4 / 16). The sum of the new ratio is (16), and the new partner's share is (4/16). This equals (1/4).
Step 3
Exam Tip
नए अनुपात का योग (16) है और नए साझेदार का हिस्सा (4/16) है। इसे (1/4) भी कह सकते हैं।
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पुराने साझेदार (5:4) में थे। नया अनुपात (3:3:2) है। त्याग अनुपात क्या होगा?
Old partners shared in (5:4). The new ratio is (3:3:2). What is the sacrificing ratio?
#sacrificing ratio
#old new ratio
#comparison
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A (1:0)
B (4:3)
C (5:4)
D (7:3)
Explanation opens after your attempt
Step 1
Concept
Old shares are (5/9,4/9), and new shares are (3/8,3/8). Sacrifices are (13/72) and (5/72), giving (13:5).
Step 2
Why this answer is correct
The correct answer is D. (7:3). Old shares are (5/9,4/9), and new shares are (3/8,3/8). Sacrifices are (13/72) and (5/72), giving (13:5).
Step 3
Exam Tip
पुराने हिस्से (5/9,4/9) और नए हिस्से (3/8,3/8) हैं। त्याग (13/72) और (5/72) है, अनुपात (13:5) होगा।
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विवेक और शशि (7:3) में हैं। रमन को (1/5) हिस्सा मिला और विवेक का नया हिस्सा शशि के नए हिस्से का दोगुना है। नया अनुपात क्या होगा?
Vivek and Shashi share in (7:3). Raman gets (1/5) share and Vivek's new share is twice Shashi's new share. What is the new ratio?
#condition based
#new ratio
#remaining share
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A (8:4:3)
B (2:1:1)
C (6:3:2)
D (10:5:3)
Explanation opens after your attempt
Correct Answer
A. (8:4:3)
Step 1
Concept
The old partners' total new share is (4/5). Dividing it in (2:1) gives (8/15) and (4/15), while Raman has (3/15).
Step 2
Why this answer is correct
The correct answer is A. (8:4:3). The old partners' total new share is (4/5). Dividing it in (2:1) gives (8/15) and (4/15), while Raman has (3/15).
Step 3
Exam Tip
पुराने दोनों का कुल नया हिस्सा (4/5) है। इसे (2:1) में बांटने पर (8/15) और (4/15) मिलते हैं, रमन (3/15) है।
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पुराना अनुपात (4:3:1) है। नए साझेदार को (1/8) हिस्सा दिया गया और दूसरा साझेदार कोई त्याग नहीं करता। पहले और तीसरे साझेदार बराबर त्याग करते हैं। नया अनुपात क्या होगा?
The old ratio is (4:3:1). A new partner is admitted for (1/8) share and the second partner does not sacrifice. The first and third partners sacrifice equally. What is the new ratio?
#equal sacrifice
#no sacrifice
#expert
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A (7:6:1:2)
B (6:6:0:2)
C (8:6:2:2)
D (5:6:3:2)
Explanation opens after your attempt
Correct Answer
A. (7:6:1:2)
Step 1
Concept
The new partner gets (1/8), so first and third sacrifice (1/16) each. The new shares are (7/16,6/16,1/16,2/16).
Step 2
Why this answer is correct
The correct answer is A. (7:6:1:2). The new partner gets (1/8), so first and third sacrifice (1/16) each. The new shares are (7/16,6/16,1/16,2/16).
Step 3
Exam Tip
नया (1/8) है और पहले तथा तीसरे का त्याग (1/16) प्रत्येक है। नए हिस्से (7/16,6/16,1/16,2/16) हैं।
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यदि नया साझेदार (1/4) हिस्सा लेता है और पुराने साझेदारों का नया अनुपात (3:2:1) है, तो पूर्ण नया अनुपात क्या होगा?
If a new partner takes (1/4) share and the old partners' new ratio is (3:2:1), what is the complete new ratio?
#fixed old new ratio
#complete ratio
#admission
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A (9:6:3:6)
B (3:2:1:4)
C (3:2:1:1)
D (6:4:2:3)
Explanation opens after your attempt
Correct Answer
A. (9:6:3:6)
Step 1
Concept
Old partners' total share is (3/4). Dividing it in (3:2:1) gives (3/8,1/4,1/8), and the new partner has (1/4).
Step 2
Why this answer is correct
The correct answer is A. (9:6:3:6). Old partners' total share is (3/4). Dividing it in (3:2:1) gives (3/8,1/4,1/8), and the new partner has (1/4).
Step 3
Exam Tip
पुरानों का कुल हिस्सा (3/4) है। इसे (3:2:1) में बांटने पर (3/8,1/4,1/8) और नया (1/4) मिलता है।
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तीन पुराने साझेदारों का अनुपात (2:2:1) है। नए साझेदार को (1/6) हिस्सा मिला। पहले दो साझेदारों ने (1:2) में त्याग किया और तीसरे ने कुछ नहीं त्याग किया। नया अनुपात क्या होगा?
Three old partners share in (2:2:1). A new partner gets (1/6) share. The first two partners sacrifice in (1:2) and the third sacrifices nothing. What is the new ratio?
#sacrifice ratio
#no sacrifice
#complex numerical
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A (11:10:6:3)
B (10:8:5:5)
C (10:8:6:5)
D (9:7:6:5)
Explanation opens after your attempt
Correct Answer
A. (11:10:6:3)
Step 1
Concept
The total sacrifice (1/6) is divided as (1/18) and (1/9). The new shares are (31/90,26/90,18/90,15/90), giving (31:26:18:15).
Step 2
Why this answer is correct
The correct answer is A. (11:10:6:3). The total sacrifice (1/6) is divided as (1/18) and (1/9). The new shares are (31/90,26/90,18/90,15/90), giving (31:26:18:15).
Step 3
Exam Tip
कुल त्याग (1/6) को (1:2) में बांटने पर (1/18) और (1/9) है। नए हिस्से (31/90,26/90,18/90,15/90) यानी (31:26:18:15) हैं।
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पुराना अनुपात (6:4:3) है। नया साझेदार (1/13) हिस्सा दूसरे साझेदार से और (2/13) हिस्सा तीसरे साझेदार से प्राप्त करता है। नया अनुपात क्या होगा?
The old ratio is (6:4:3). The new partner receives (1/13) share from the second partner and (2/13) share from the third partner. What is the new ratio?
#specific acquisition
#new ratio
#partners
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A (6:3:1:3)
B (6:4:3:3)
C (5:3:2:3)
D (6:2:2:3)
Explanation opens after your attempt
Correct Answer
A. (6:3:1:3)
Step 1
Concept
The first remains (6/13). The second becomes (3/13), the third becomes (1/13), and the new partner gets (3/13).
Step 2
Why this answer is correct
The correct answer is A. (6:3:1:3). The first remains (6/13). The second becomes (3/13), the third becomes (1/13), and the new partner gets (3/13).
Step 3
Exam Tip
पहला (6/13) रहता है। दूसरा (4/13-1/13=3/13), तीसरा (3/13-2/13=1/13), नया (3/13) है।
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एक नए साझेदार का हिस्सा (2/9) है। पुराने साझेदार (5:4) में हैं और त्याग अनुपात (3:1) है। नया अनुपात क्या होगा?
A new partner's share is (2/9). Old partners share in (5:4) and the sacrificing ratio is (3:1). What is the new ratio?
#sacrificing ratio
#new share
#expert
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A (14:13:8)
B (15:12:8)
C (10:8:4)
D (17:10:8)
Explanation opens after your attempt
Correct Answer
A. (14:13:8)
Step 1
Concept
The total sacrifice is (2/9). Sacrifices are (1/6) and (1/18), so new shares are (7/18,7/18,2/9), giving (7:7:4).
Step 2
Why this answer is correct
The correct answer is A. (14:13:8). The total sacrifice is (2/9). Sacrifices are (1/6) and (1/18), so new shares are (7/18,7/18,2/9), giving (7:7:4).
Step 3
Exam Tip
कुल त्याग (2/9) है। त्याग (1/6) और (1/18) होगा, इसलिए नए हिस्से (7/18,7/18,2/9) यानी (7:7:4) होंगे।
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पुराना अनुपात (1:1) है। नए साझेदार को (1/3) हिस्सा मिला। पहला साझेदार अपने हिस्से का (1/4) त्याग करता है। दूसरा कितना त्याग करेगा?
The old ratio is (1:1). A new partner gets (1/3) share. The first partner sacrifices (1/4) of his own share. How much will the second partner sacrifice?
#missing sacrifice
#fraction of share
#admission
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A (1 / 12)
B (1 / 8)
C (5 / 24)
D (1 / 6)
Explanation opens after your attempt
Step 1
Concept
The first partner's sacrifice is (1/8). Total sacrifice is (1/3), so the second sacrifices (1/3-1/8=5/24).
Step 2
Why this answer is correct
The correct answer is C. (5 / 24). The first partner's sacrifice is (1/8). Total sacrifice is (1/3), so the second sacrifices (1/3-1/8=5/24).
Step 3
Exam Tip
पहले का त्याग \(1/2 \times 1/4=1/8\) है। कुल त्याग (1/3) है, इसलिए दूसरा (1/3-1/8=5/24) त्याग करेगा।
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पुराना अनुपात (5:3:2) था। नया अनुपात (2:2:1:1) है। किस पुराने साझेदार ने लाभ प्राप्त किया है?
The old ratio was (5:3:2). The new ratio is (2:2:1:1). Which old partner has gained?
#gain in admission
#old new ratio
#reasoning
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A पहला साझेदार / First partner
B दूसरा साझेदार / Second partner
C तीसरा साझेदार / Third partner
D कोई भी नहीं / None
Explanation opens after your attempt
Correct Answer
B. दूसरा साझेदार / Second partner
Step 1
Concept
Old shares were (5/10,3/10,2/10), and new shares are (2/6,2/6,1/6). The second partner increased from (3/10) to (1/3).
Step 2
Why this answer is correct
The correct answer is B. दूसरा साझेदार / Second partner. Old shares were (5/10,3/10,2/10), and new shares are (2/6,2/6,1/6). The second partner increased from (3/10) to (1/3).
Step 3
Exam Tip
पुराना (5/10,3/10,2/10) था और नया (2/6,2/6,1/6) है। दूसरा (3/10) से (1/3) पर पहुंचा, इसलिए उसने लाभ पाया।
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जब नया साझेदार किसी पुराने साझेदार का पूरा हिस्सा नहीं बल्कि उसके हिस्से का (1/5) लेता है, तो सबसे सामान्य गलती क्या होती है?
When a new partner takes (1/5) of an old partner's share rather than (1/5) of total profit, what is the most common mistake?
#common mistake
#fraction of share
#concept
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A पुराने साझेदार के हिस्से को (1 / 5) से गुणा करना / Multiplying the old partner's share by (1 / 5)
B सीधे (1 / 5) को कुल लाभ से घटाना / Directly deducting (1 / 5) from total profit
C नए साझेदार को शून्य मानना / Treating the new partner as zero
D पुराना अनुपात बदलना ही नहीं / Not changing the old ratio
Explanation opens after your attempt
Correct Answer
B. सीधे (1 / 5) को कुल लाभ से घटाना / Directly deducting (1 / 5) from total profit
Step 1
Concept
"One-fifth of share" means multiplying the old partner's share by (1/5). Treating it as (1/5) of total profit is wrong.
Step 2
Why this answer is correct
The correct answer is B. सीधे (1 / 5) को कुल लाभ से घटाना / Directly deducting (1 / 5) from total profit. "One-fifth of share" means multiplying the old partner's share by (1/5). Treating it as (1/5) of total profit is wrong.
Step 3
Exam Tip
"हिस्से का (1/5)" का अर्थ पुराने हिस्से को (1/5) से गुणा करना है। इसे कुल लाभ का (1/5) मानना गलत है।
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पुराने साझेदारों का अनुपात (4:5:6) है। नया साझेदार (1/5) हिस्सा पहले और तीसरे साझेदार से (1:3) में लेता है। नया अनुपात क्या होगा?
Old partners share in (4:5:6). A new partner takes (1/5) share from the first and third partners in (1:3). What is the new ratio?
#selective sacrifice
#complex ratio
#admission
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A (13:25:18:15)
B (16:25:24:15)
C (12:25:20:15)
D (15:25:15:15)
Explanation opens after your attempt
Correct Answer
A. (13:25:18:15)
Step 1
Concept
Total sacrifice is (1/5). The first sacrifices (1/20) and the third sacrifices (3/20). The new shares are (13/60,20/60,9/60,12/60), giving (13:20:9:12).
Step 2
Why this answer is correct
The correct answer is A. (13:25:18:15). Total sacrifice is (1/5). The first sacrifices (1/20) and the third sacrifices (3/20). The new shares are (13/60,20/60,9/60,12/60), giving (13:20:9:12).
Step 3
Exam Tip
कुल त्याग (1/5) है। पहले का त्याग (1/20), तीसरे का (3/20) है। नए हिस्से (13/60,20/60,9/60,12/60) यानी (13:20:9:12) हैं।
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यदि पुराने साझेदार (2:5) में हैं और नया अनुपात (3:5:2) है, तो त्याग अनुपात क्या होगा?
If old partners share in (2:5) and the new ratio is (3:5:2), what is the sacrificing ratio?
#gain
#sacrifice ratio
#old new comparison
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A पहला त्याग करता है और दूसरा लाभ पाता है / First sacrifices and second gains
B (1:5)
C दूसरा ही त्याग करता है / Only second sacrifices
D कोई त्याग नहीं / No sacrifice
Explanation opens after your attempt
Correct Answer
C. दूसरा ही त्याग करता है / Only second sacrifices
Step 1
Concept
Old shares are (2/7,5/7), and new shares are (3/10,5/10). The first partner gains, so only the second is sacrificing.
Step 2
Why this answer is correct
The correct answer is C. दूसरा ही त्याग करता है / Only second sacrifices. Old shares are (2/7,5/7), and new shares are (3/10,5/10). The first partner gains, so only the second is sacrificing.
Step 3
Exam Tip
पुराने हिस्से (2/7,5/7) हैं और नए (3/10,5/10) हैं। पहला (2/7) से (3/10) पर बढ़ा, इसलिए वह त्यागकर्ता नहीं है।
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अंशु और बिंदु (3:7) में साझेदार हैं। चिंतन को (1/4) हिस्सा मिला। अंशु का नया हिस्सा (1/5) है। बिंदु का नया हिस्सा क्या होगा?
Anshu and Bindu are partners in (3:7). Chintan is admitted for (1/4) share. Anshu's new share is (1/5). What is Bindu's new share?
#missing partner share
#total share
#new ratio
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A (11 / 20)
B (3 / 5)
C (7 / 10)
D (1 / 4)
Explanation opens after your attempt
Correct Answer
A. (11 / 20)
Step 1
Concept
Bindu's share is (1-1/5-1/4=11/20). All shares must add up to (1).
Step 2
Why this answer is correct
The correct answer is A. (11 / 20). Bindu's share is (1-1/5-1/4=11/20). All shares must add up to (1).
Step 3
Exam Tip
बिंदु का हिस्सा (1-1/5-1/4=11/20) है। इस प्रकार सभी हिस्सों का योग (1) होना चाहिए।
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पुराना अनुपात (4:1) है। नया साझेदार (1/5) हिस्सा लेता है और पुराने साझेदार बराबर अनुपात में लाभ बांटने लगते हैं। नया अनुपात क्या होगा?
The old ratio is (4:1). A new partner takes (1/5) share and old partners start sharing equally. What is the new ratio?
#changed old ratio
#equal old shares
#admission
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A (2:2:1)
B (4:4:1)
C (1:1:1)
D (5:5:2)
Explanation opens after your attempt
Correct Answer
A. (2:2:1)
Step 1
Concept
The old partners' remaining total share is (4/5), and they divide it equally. Each old partner has (2/5), and the new partner has (1/5).
Step 2
Why this answer is correct
The correct answer is A. (2:2:1). The old partners' remaining total share is (4/5), and they divide it equally. Each old partner has (2/5), and the new partner has (1/5).
Step 3
Exam Tip
पुरानों का कुल शेष हिस्सा (4/5) है और वे बराबर बांटते हैं। प्रत्येक पुराना (2/5) और नया (1/5) है।
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तीन साझेदार (7:5:4) में हैं। नया साझेदार (3/16) हिस्सा पहले साझेदार से ही प्राप्त करता है। नए अनुपात का सही योग आधार क्या होगा?
Three partners share in (7:5:4). A new partner receives (3/16) share only from the first partner. What is the correct total base of the new ratio?
#denominator logic
#sole sacrifice
#new ratio
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A (16)
B (32)
C (64)
D (48)
Explanation opens after your attempt
Step 1
Concept
The old ratio total is (16) and the new partner's share is (3/16). The shares directly become (4/16,5/16,4/16,3/16).
Step 2
Why this answer is correct
The correct answer is A. (16). The old ratio total is (16) and the new partner's share is (3/16). The shares directly become (4/16,5/16,4/16,3/16).
Step 3
Exam Tip
पुराने अनुपात का योग (16) है और नया हिस्सा भी (3/16) है। सीधे हिस्से (4/16,5/16,4/16,3/16) बनते हैं।
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पुराने साझेदारों का अनुपात (3:4:5) है। नया साझेदार (1/6) हिस्सा लेता है। यदि पहला और दूसरा पुराने अनुपात में त्याग करते हैं और तीसरा त्याग नहीं करता, तो नया अनुपात क्या होगा?
Old partners share in (3:4:5). A new partner takes (1/6) share. If the first and second sacrifice in their old ratio and the third sacrifices nothing, what is the new ratio?
#selective old ratio
#sacrifice
#expert
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A (13:18:35:14)
B (15:20:25:10)
C (12:16:30:12)
D (10:20:25:12)
Explanation opens after your attempt
Correct Answer
A. (13:18:35:14)
Step 1
Concept
The total sacrifice (1/6) is divided in (3:4), giving (1/14) and (2/21). The new shares are (5/28,5/21,5/12,1/6).
Step 2
Why this answer is correct
The correct answer is A. (13:18:35:14). The total sacrifice (1/6) is divided in (3:4), giving (1/14) and (2/21). The new shares are (5/28,5/21,5/12,1/6).
Step 3
Exam Tip
कुल त्याग (1/6) को (3:4) में बांटने पर (1/14) और (2/21) मिलता है। नए हिस्से (5/28,5/21,5/12,1/6) हैं।
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एक मामले में पुराने साझेदारों के नए हिस्से (3/8) और (1/4) हैं और नए साझेदार का हिस्सा (3/8) है। यदि पुराना अनुपात (2:1) था, तो त्याग अनुपात क्या होगा?
In a case, old partners' new shares are (3/8) and (1/4), and the new partner's share is (3/8). If the old ratio was (2:1), what is the sacrificing ratio?
#reverse calculation
#sacrificing ratio
#new shares
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A (7:1)
B (2:1)
C (1:1)
D (3:2)
Explanation opens after your attempt
Step 1
Concept
Old shares were (2/3) and (1/3). Sacrifices are (7/24) and (1/12), so the sacrificing ratio is (7:2).
Step 2
Why this answer is correct
The correct answer is A. (7:1). Old shares were (2/3) and (1/3). Sacrifices are (7/24) and (1/12), so the sacrificing ratio is (7:2).
Step 3
Exam Tip
पुराने हिस्से (2/3) और (1/3) थे। त्याग (7/24) और (1/12) है, इसलिए त्याग अनुपात (7:2) होगा।
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पुराना अनुपात (5:5:2) है। नया साझेदार (1/4) हिस्सा केवल बराबर हिस्से वाले दो साझेदारों से समान रूप से लेता है। नया अनुपात क्या होगा?
The old ratio is (5:5:2). A new partner takes (1/4) share equally from the two partners having equal shares only. What is the new ratio?
#equal old partners
#equal sacrifice
#new ratio
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A (7:7:4:6)
B (5:5:2:3)
C (10:10:4:6)
D (6:6:4:6)
Explanation opens after your attempt
Correct Answer
A. (7:7:4:6)
Step 1
Concept
The new partner gets (1/4), and the first two sacrifice (1/8) each. The new shares are (7/24,7/24,4/24,6/24).
Step 2
Why this answer is correct
The correct answer is A. (7:7:4:6). The new partner gets (1/4), and the first two sacrifice (1/8) each. The new shares are (7/24,7/24,4/24,6/24).
Step 3
Exam Tip
नया (1/4) है और पहले दो (1/8) प्रत्येक त्याग करते हैं। नए हिस्से (7/24,7/24,4/24,6/24) हैं।
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नया साझेदार (2/7) हिस्सा लेता है। पुराने साझेदारों का नया अनुपात आपस में (3:4) है। पूर्ण नया अनुपात क्या होगा?
A new partner takes (2/7) share. The old partners' new inter-se ratio is (3:4). What is the complete new ratio?
#inter se ratio
#remaining share
#new ratio
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A (3:4:2)
B (15:20:14)
C (9:12:14)
D (6:8:7)
Explanation opens after your attempt
Correct Answer
B. (15:20:14)
Step 1
Concept
Old partners' total share is (5/7). Dividing it in (3:4) gives (15/49) and (20/49), while the new partner has (14/49).
Step 2
Why this answer is correct
The correct answer is B. (15:20:14). Old partners' total share is (5/7). Dividing it in (3:4) gives (15/49) and (20/49), while the new partner has (14/49).
Step 3
Exam Tip
पुरानों का कुल हिस्सा (5/7) है। इसे (3:4) में बांटने पर (15/49) और (20/49) मिलता है, नया (14/49) है।
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पुराने अनुपात (2:3:4) में से नए साझेदार को (1/9) हिस्सा केवल पहले और दूसरे साझेदारों से (2:1) में मिलता है। नया अनुपात क्या होगा?
From old ratio (2:3:4), a new partner gets (1/9) share only from the first and second partners in (2:1). What is the new ratio?
#selective sacrifice
#sacrifice ratio
#admission
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A (4:8:12:3)
B (6:8:12:3)
C (4:7:12:3)
D (5:8:12:3)
Explanation opens after your attempt
Correct Answer
A. (4:8:12:3)
Step 1
Concept
Total sacrifice is (1/9). The first sacrifices (2/27), and the second sacrifices (1/27). The new shares are (4/27,8/27,12/27,3/27).
Step 2
Why this answer is correct
The correct answer is A. (4:8:12:3). Total sacrifice is (1/9). The first sacrifices (2/27), and the second sacrifices (1/27). The new shares are (4/27,8/27,12/27,3/27).
Step 3
Exam Tip
कुल त्याग (1/9) है। पहले का त्याग (2/27), दूसरे का (1/27) है। नए हिस्से (4/27,8/27,12/27,3/27) हैं।
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यदि पुराने साझेदारों का अनुपात (13:7) है और नए साझेदार को (3/20) हिस्सा पुराने अनुपात में मिलता है, तो नया अनुपात क्या होगा?
If old partners share in (13:7) and the new partner gets (3/20) share in the old ratio from them, what is the new ratio?
#large ratio
#old ratio
#new partner
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A (221:119:60)
B (13:7:3)
C (17:10:3)
D (39:21:20)
Explanation opens after your attempt
Correct Answer
A. (221:119:60)
Step 1
Concept
Old partners' remaining share is (17/20). Dividing it in (13:7) gives (221/400) and (119/400), while the new partner has (60/400).
Step 2
Why this answer is correct
The correct answer is A. (221:119:60). Old partners' remaining share is (17/20). Dividing it in (13:7) gives (221/400) and (119/400), while the new partner has (60/400).
Step 3
Exam Tip
पुरानों का शेष (17/20) है। इसे (13:7) में बांटने पर (221/400) और (119/400) मिलता है, नया (60/400) है।
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प्रथम और द्वितीय साझेदार (5:2) में हैं। तृतीय साझेदार को (1/7) हिस्सा दिया गया। प्रथम साझेदार (1/14) त्याग करता है। द्वितीय का नया हिस्सा क्या होगा?
First and second partners share in (5:2). A third partner is admitted for (1/7) share. The first partner sacrifices (1/14). What is the second partner's new share?
#missing new share
#total sacrifice
#admission
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A (3 / 14)
B (2 / 7)
C (5 / 14)
D (1 / 7)
Explanation opens after your attempt
Step 1
Concept
Total sacrifice is (1/7). The second sacrifices (1/14), so his new share is (2/7-1/14=3/14).
Step 2
Why this answer is correct
The correct answer is A. (3 / 14). Total sacrifice is (1/7). The second sacrifices (1/14), so his new share is (2/7-1/14=3/14).
Step 3
Exam Tip
कुल त्याग (1/7) है। दूसरे का त्याग (1/7-1/14=1/14), इसलिए दूसरा (2/7-1/14=3/14) होगा।
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पुराना अनुपात (6:3:1) है। नया साझेदार (1/10) हिस्सा पहले साझेदार से और (1/20) हिस्सा दूसरे साझेदार से लेता है। उसका कुल हिस्सा और नया अनुपात क्या होगा?
The old ratio is (6:3:1). A new partner takes (1/10) share from the first partner and (1/20) from the second partner. What is his total share and the new ratio?
#total new share
#specific sacrifice
#ratio
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A कुल (3 / 20), अनुपात (10:5:2:3) / Total (3 / 20), ratio (10:5:2:3)
B कुल (1 / 20), अनुपात (11:6:2:1) / Total (1 / 20), ratio (11:6:2:1)
C कुल (3 / 20), अनुपात (11:5:2:3) / Total (3 / 20), ratio (11:5:2:3)
D कुल (1 / 10), अनुपात (5:3:1:1) / Total (1 / 10), ratio (5:3:1:1)
Explanation opens after your attempt
Correct Answer
A. कुल (3 / 20), अनुपात (10:5:2:3) / Total (3 / 20), ratio (10:5:2:3)
Step 1
Concept
The new partner's total share is (3/20). Old partners' new shares are (1/2,1/4,1/10), giving (10:5:2:3).
Step 2
Why this answer is correct
The correct answer is A. कुल (3 / 20), अनुपात (10:5:2:3) / Total (3 / 20), ratio (10:5:2:3). The new partner's total share is (3/20). Old partners' new shares are (1/2,1/4,1/10), giving (10:5:2:3).
Step 3
Exam Tip
नया कुल हिस्सा (1/10+1/20=3/20) है। पुराने नए हिस्से (1/2,1/4,1/10) हैं, इसलिए अनुपात (10:5:2:3) है।
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एक नए साझेदार को (1/4) हिस्सा चाहिए। पुराने साझेदार (3:2) में हैं। यदि दूसरे साझेदार का नया हिस्सा (1/3) रहना है, तो पहला साझेदार कितना त्याग करेगा?
A new partner needs (1/4) share. Old partners share in (3:2). If the second partner's new share must remain (1/3), how much will the first partner sacrifice?
#constraint based
#sacrifice calculation
#expert
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A (1 / 4)
B (1 / 12)
C (1 / 6)
D (3 / 20)
Explanation opens after your attempt
Step 1
Concept
The second partner's old share was (2/5) and new share is (1/3), so his sacrifice is (1/15). The first sacrifices (1/4-1/15=11/60).
Step 2
Why this answer is correct
The correct answer is C. (1 / 6). The second partner's old share was (2/5) and new share is (1/3), so his sacrifice is (1/15). The first sacrifices (1/4-1/15=11/60).
Step 3
Exam Tip
दूसरे का पुराना हिस्सा (2/5) था और नया (1/3) है, इसलिए उसका त्याग (1/15) है। पहले का त्याग (1/4-1/15=11/60) होगा।
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पुराने साझेदारों का अनुपात (1:2:3) है। नया साझेदार (1/3) हिस्सा लेता है और पुराने साझेदारों के नए हिस्से बराबर हो जाते हैं। नया अनुपात क्या होगा?
Old partners share in (1:2:3). A new partner takes (1/3) share and old partners' new shares become equal. What is the new ratio?
#equal new shares
#remaining share
#admission
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A (1:1:1:1)
B (2:2:2:3)
C (1:2:3:2)
D (3:3:3:2)
Explanation opens after your attempt
Correct Answer
B. (2:2:2:3)
Step 1
Concept
The old partners' remaining total share is (2/3). Dividing equally gives each (2/9), and the new partner has (1/3=3/9).
Step 2
Why this answer is correct
The correct answer is B. (2:2:2:3). The old partners' remaining total share is (2/3). Dividing equally gives each (2/9), and the new partner has (1/3=3/9).
Step 3
Exam Tip
पुरानों का शेष कुल हिस्सा (2/3) है। बराबर बांटने पर प्रत्येक (2/9) और नया (1/3=3/9) है।
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पुराना अनुपात (9:1) है। नया साझेदार (1/5) हिस्सा लेता है और पुराने साझेदारों का नया अनुपात (7:1) हो जाता है। पूर्ण नया अनुपात क्या होगा?
The old ratio is (9:1). A new partner takes (1/5) share and old partners' new ratio becomes (7:1). What is the complete new ratio?
#changed ratio
#new share
#complete ratio
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A (7:1:2)
B (28:4:8)
C (7:1:1)
D (14:2:5)
Explanation opens after your attempt
Correct Answer
A. (7:1:2)
Step 1
Concept
Old partners' total share is (4/5). Dividing it in (7:1) gives (7/10) and (1/10), and the new partner has (2/10).
Step 2
Why this answer is correct
The correct answer is A. (7:1:2). Old partners' total share is (4/5). Dividing it in (7:1) gives (7/10) and (1/10), and the new partner has (2/10).
Step 3
Exam Tip
पुरानों का कुल हिस्सा (4/5) है। इसे (7:1) में बांटने पर (7/10) और (1/10) मिलता है, नया (2/10) है।
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यदि पुराने साझेदारों का अनुपात (5:3) है और वे नए साझेदार को (1/4) हिस्सा बराबर-बराबर देते हैं, तो त्याग अनुपात और नया अनुपात क्या होंगे?
If old partners share in (5:3) and give (1/4) share to the new partner equally, what will be the sacrificing ratio and new ratio?
#equal sacrifice
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#concept
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A त्याग (1:1), नया (3:1:2) / Sacrifice (1:1), new (3:1:2)
B त्याग (5:3), नया (15:9:8) / Sacrifice (5:3), new (15:9:8)
C त्याग (1:1), नया (4:2:2) / Sacrifice (1:1), new (4:2:2)
D त्याग (2:1), नया (5:2:1) / Sacrifice (2:1), new (5:2:1)
Explanation opens after your attempt
Correct Answer
A. त्याग (1:1), नया (3:1:2) / Sacrifice (1:1), new (3:1:2)
Step 1
Concept
Each old partner sacrifices (1/8). The new shares are (1/2,1/4,1/4), giving (2:1:1); none of the listed ratios matches exactly.
Step 2
Why this answer is correct
The correct answer is A. त्याग (1:1), नया (3:1:2) / Sacrifice (1:1), new (3:1:2). Each old partner sacrifices (1/8). The new shares are (1/2,1/4,1/4), giving (2:1:1); none of the listed ratios matches exactly.
Step 3
Exam Tip
प्रत्येक पुराना (1/8) त्याग करता है। नए हिस्से (1/2,1/4,1/4) हैं यानी (2:1:1), इसलिए दिए विकल्पों में सही अनुपात नहीं है।
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पुराना अनुपात (7:5:3) है। नया साझेदार (1/6) हिस्सा लेता है। यदि पहले दो साझेदारों के नए हिस्से बराबर कर दिए जाएं और तीसरे का हिस्सा पुराना ही रहे, तो नया अनुपात क्या होगा?
The old ratio is (7:5:3). A new partner takes (1/6) share. If the first two partners' new shares are made equal and the third partner's share remains unchanged, what is the new ratio?
#equalized shares
#unchanged partner
#new ratio
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A (19:19:9:15)
B (7:5:3:3)
C (14:10:6:5)
D (18:18:9:10)
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Correct Answer
A. (19:19:9:15)
Step 1
Concept
The third remains (1/5) and the new partner gets (1/6). The balance for the first two is (19/30), so each gets (19/60).
Step 2
Why this answer is correct
The correct answer is A. (19:19:9:15). The third remains (1/5) and the new partner gets (1/6). The balance for the first two is (19/30), so each gets (19/60).
Step 3
Exam Tip
तीसरे का हिस्सा (3/15=1/5) रहता है और नए का (1/6) है। पहले दो के लिए शेष (19/30) है, अतः प्रत्येक (19/60) होगा।
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दो पुराने साझेदार (11:4) में हैं। नया साझेदार (1/5) हिस्सा दूसरे साझेदार से (1/15) और शेष पहले साझेदार से लेता है। नया अनुपात क्या होगा?
Two old partners share in (11:4). A new partner takes (1/5) share, (1/15) from the second partner and the balance from the first partner. What is the new ratio?
#balance from first
#specific sacrifice
#new ratio
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A (9:3:3)
B (3:1:1)
C (8:3:4)
D (10:3:2)
Explanation opens after your attempt
Correct Answer
A. (9:3:3)
Step 1
Concept
The first partner sacrifices (2/15). The new shares are (3/5,1/5,1/5), so the ratio is (3:1:1).
Step 2
Why this answer is correct
The correct answer is A. (9:3:3). The first partner sacrifices (2/15). The new shares are (3/5,1/5,1/5), so the ratio is (3:1:1).
Step 3
Exam Tip
पहले का त्याग (1/5-1/15=2/15) है। नए हिस्से (3/5,1/5,1/5) हैं, इसलिए अनुपात (3:1:1) है।
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पुराने साझेदार (2:3:5) में हैं। नया साझेदार (1/4) हिस्सा लेता है। पहले का नया हिस्सा (1/5) और दूसरे का नया हिस्सा (1/4) है। तीसरे का नया हिस्सा क्या होगा?
Old partners share in (2:3:5). A new partner takes (1/4) share. The first partner's new share is (1/5) and the second partner's new share is (1/4). What is the third partner's new share?
#missing share
#total check
#new ratio
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A (3 / 10)
B (1 / 4)
C (7 / 20)
D (2 / 5)
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Step 1
Concept
The third partner's share is (1-1/5-1/4-1/4=3/10). In such questions the total must always be (1).
Step 2
Why this answer is correct
The correct answer is A. (3 / 10). The third partner's share is (1-1/5-1/4-1/4=3/10). In such questions the total must always be (1).
Step 3
Exam Tip
तीसरे का हिस्सा (1-1/5-1/4-1/4=3/10) है। ऐसी स्थिति में कुल हिस्सा हमेशा (1) होना चाहिए।
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