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A, B and C share profits and losses in the ratio 4:3:3. When C retires, the new profit-sharing ratio of A and B becomes 5:4. What is the gaining ratio of A and B?A, B और C लाभ-हानि को 4:3:3 के अनुपात में बाँटते हैं। C के सेवानिवृत्त होने पर A और B का नया अनुपात 5:4 हो जाता है। A और B का ग्रहण अनुपात क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 14:1314:13
Under the old ratio, A’s share was 4/10 and B’s share was 3/10. Under the new ratio, A’s share is 5/9 and B’s share is 4/9. Thus, A’s gain is 5/9 − 4/10 = 14/90, while B’s gain is 4/9 − 3/10 = 13/90. Therefore, the gaining ratio is 14:13. Exam tip: Gaining ratio is calculated as new share minus old share.पुराने अनुपात में A का हिस्सा 4/10 और B का हिस्सा 3/10 था। नए अनुपात में A का हिस्सा 5/9 तथा B का हिस्सा 4/9 है। इसलिए A का लाभ = 5/9 − 4/10 = 14/90 और B का लाभ = 4/9 − 3/10 = 13/90। अतः ग्रहण अनुपात = 14:13। ध्यान रखें, ग्रहण अनुपात = नए हिस्से − पुराने हिस्से।
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