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A, B and C share profits and losses in the ratio 1:4:5. C retires, and the new ratio between A and B becomes 3:7. What is A’s gain in share?अ, ब और स लाभ-हानि को 1:4:5 के अनुपात में बाँटते हैं। स सेवानिवृत्त हो जाता है और अ तथा ब का नया अनुपात 3:7 हो जाता है। अ के हिस्से में कितनी वृद्धि हुई?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\frac{1}{5}\)\(\frac{1}{5}\)
A’s old share was \(\frac{1}{1+4+5}=\frac{1}{10}\). After C’s retirement, A’s new share is \(\frac{3}{3+7}=\frac{3}{10}\). Therefore, A’s gain is \(\frac{3}{10}-\frac{1}{10}=\frac{2}{10}=\frac{1}{5}\). Exam tip: Gain is always calculated as new share minus old share.अ का पुराना हिस्सा \(\frac{1}{1+4+5}=\frac{1}{10}\) था। स के सेवानिवृत्त होने के बाद अ का नया हिस्सा \(\frac{3}{3+7}=\frac{3}{10}\) है। इसलिए अ का gain \(\frac{3}{10}-\frac{1}{10}=\frac{2}{10}=\frac{1}{5}\) है। ध्यान रखें कि gain = नया हिस्सा − पुराना हिस्सा।
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