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In a business P and Q invested amounts in the ratio 4 ∶ 3, whereas Q and R invested amounts in the ratio 1 ∶ 2. If the total profit at the end of a year is Rs. 42250, what is the profit share of Q?

In a business P and Q invested amounts in the ratio 4 ∶ 3, whereas Q and R invested amounts in the ratio 1 ∶ 2. If the total profit at the end of a year is Rs. 42250, what is the profit share of Q? Correct Answer 9750

Given:

P and Q invested amounts in the ratio = 4 ∶ 3

Q and R invested amounts in the ratio = 1 ∶ 2

Total profit = Rs.42250

Calculation:

Ratio of investment of P and Q = 4 ∶ 3

Ratio of investment of Q and R = 1 ∶ 2 = 3 ∶ 6

∴ Ratio of investment of P, Q and R = 4 ∶ 3 ∶ 6

∴ Profit share of Q = Rs. 42250 × (3/13) = Rs. 9750

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