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P is a working and Q is a sleeping partner. P puts in Rs. 3400 and Q puts Rs. 6500. P receives 20% of the profits for managing. The rest is distributed in proportion to their capitals. Out of a total profit of Rs. 990, how much did P get?

P is a working and Q is a sleeping partner. P puts in Rs. 3400 and Q puts Rs. 6500. P receives 20% of the profits for managing. The rest is distributed in proportion to their capitals. Out of a total profit of Rs. 990, how much did P get? Correct Answer 470

As we know,

Capital × Time = Profit

Ratio of capital of P and Q are = 3400 : 6500 = 34 : 65

Total profit = 990

20% of 990 = 990 × 1/5 = 198

Remaining profit = 990 – 198 = 792

Profit share of P = 792 × = 792 × (34/99) = 272

Total profit share of P = 272 + 198 = Rs. 470

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