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After the retirement of a partner, two remaining partners had old profit-sharing fractions of 3/8 and 1/4, respectively, while their new profit-sharing fractions are 5/8 and 3/8, respectively. What is their gaining ratio?सेवानिवृत्त साझेदार के बाद दो शेष साझेदारों के पुराने लाभ-विभाजन अनुपात क्रमशः 3/8 और 1/4 हैं, जबकि उनका नया लाभ-विभाजन अनुपात क्रमशः 5/8 और 3/8 है। इनका लाभ-प्राप्ति अनुपात क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 2:12:1
Gain is calculated as new share minus old share. The first partner’s gain is 5/8 − 3/8 = 2/8, and the second partner’s gain is 3/8 − 1/4 = 3/8 − 2/8 = 1/8. Therefore, the gaining ratio is 2/8 : 1/8 = 2:1. Exam tip: convert fractions to a common denominator before subtracting, and check that each new share exceeds the corresponding old share.लाभ-प्राप्ति = नया हिस्सा − पुराना हिस्सा। पहले साझेदार का लाभ = 5/8 − 3/8 = 2/8, और दूसरे साझेदार का लाभ = 3/8 − 1/4 = 3/8 − 2/8 = 1/8। इसलिए लाभ-प्राप्ति अनुपात = 2/8 : 1/8 = 2:1। परीक्षा-युक्ति: भिन्नों का घटाव करने से पहले उनके हर समान कर लें; नया हिस्सा पुराने हिस्से से अधिक होना चाहिए।
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