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P, Q and R invested capitals in the ratio 4: 6: 9. At the end of the business term, they received the profits in the ratio 2: 3: 5. Find the ratio of time for which they invested their capitals.Options9:9:108:8:84:7:99:8:76:5:4

Question

P, Q and R invested capitals in the ratio 4: 6: 9. At the end of the business term, they received the profits in the ratio 2: 3: 5. Find the ratio of time for which they invested their capitals.Options9:9:108:8:84:7:99:8:76:5:4

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Solution

The profit of a business is divided among the partners in the ratio of their investments multiplied by the time period for which they invested their capitals.

Given that P, Q and R invested in the ratio 4:6:9 and their profits are in the ratio 2:3:5.

Let's assume the time period for which they invested their capitals be x, y and z respectively.

According to the problem,

4x/6y = 2/3 and 6y/9z = 3/5

Solving these equations, we get the ratio of x:y:z as 9:9:10

So, the ratio of time for which they invested their capitals is 9:9:10.

This problem has been solved

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