Mohit and Anshu invested some money in a business in the ratio 8:15 respectively. After 9 months Mohit withdraws his capital. If they receive profits - Quantitative Aptitude MCQ SSC CGL 2026 | ExamTest.live

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Mohit and Anshu invested some money in a business in the ratio 8 : 15 respectively. After 9 months Mohit withdraws his capital. If they receive profits in the ratio 4 : 5, then for how many months did Anshu invest in the business?

Solution & Step-by-step Explanation

We know that the ratio of profit is equal to the ratio of the product of investment and time period: \frac{Profit of Mohit}{Profit of Anshu} = \frac{Investment of Mohit \times Time of Mohit}{Investment of Anshu \times Time of Anshu} Let the time period for Anshu's investment be t months. \frac{4}{5} = \frac{8 \times 9}{15 \times t} \frac{4}{5} = \frac{72}{15 t} Cross-multiplying to solve for t : 4 \times 15 t = 72 \times 5 60 t = 360 t = \frac{360}{60} = 6 months

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Mohit and Anshu invested some money in a business in the ratio 8 : 15 respectively. After 9 months Mohit withdraws his capital. If they receive profits in the ratio 4 : 5, then for how many months did Anshu invest in the business?

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