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Partners A, B and C share profits in the ratio 5:2:3. When C retires, the new profit-sharing ratio of A and B becomes 7:3. What is A’s gain in share?साझेदार A, B और C लाभ को 5:2:3 के अनुपात में बाँटते हैं। C के सेवानिवृत्त होने पर A और B का नया लाभ-विभाजन अनुपात 7:3 हो जाता है। A का लाभ-अनुपात (gain) कितना है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\frac{1}{5}\)\(\frac{1}{5}\)
A’s old share was \(\frac{5}{5+2+3}=\frac{5}{10}\). Under the new ratio of 7:3, A’s new share is \(\frac{7}{10}\). Therefore, A’s gain is \(\frac{7}{10}-\frac{5}{10}=\frac{2}{10}=\frac{1}{5}\). Exam tip: Gain of a partner = New share − Old share.A का पुराना हिस्सा \(\frac{5}{5+2+3}=\frac{5}{10}\) था। नया अनुपात 7:3 होने पर A का नया हिस्सा \(\frac{7}{10}\) है। इसलिए A का लाभ \(\frac{7}{10}-\frac{5}{10}=\frac{2}{10}=\frac{1}{5}\) होगा। परीक्षा-युक्ति: किसी साझेदार का gain = नया हिस्सा − पुराना हिस्सा।
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