In a joint business, X invests Rs. 6000 for 9 months and Y invests Rs. 8000 for a certain number of months. If they receive Rs. 1800 and Rs. 1600 resp - Quantitative Aptitude MCQ Practice Test 2026 | ExamTest.live

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In a joint business, X invests Rs. 6000 for 9 months and Y invests Rs. 8000 for a certain number of months. If they receive Rs. 1800 and Rs. 1600 respectively as profit, find the duration for which Y's capital was invested.

Solution & Step-by-step Explanation

Let the total investment duration for Y be t months . The ratio of profits matches the ratio of the products of capital and duration: \frac{Profit of X}{Profit of Y} = \frac{Capital of X \times Time of X}{Capital of Y \times Time of Y} \frac{1800}{1600} = \frac{6000 \times 9}{8000 \times t} Simplifying both sides: \frac{9}{8} = \frac{54000}{8000 t} \frac{9}{8} = \frac{27}{4 t} Cross-multiplying to solve for t : 9 \times 4 t = 27 \times 8 36 t = 216 t = \frac{216}{36} = 6 months

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In a joint business, X invests Rs. 6000 for 9 months and Y invests Rs. 8000 for a certain number of months. If they receive Rs. 1800 and Rs. 1600 respectively as profit, find the duration for which Y's capital was invested.

4 months

5 months

6 months

8 months

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