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A, B and C are partners in a business. A, whose capital has been used for 5 months, claims 1/7 of the profit. B whose capital has been used for 7 months, claims 1/5 of the profit. C has invested Rs. 4,600 for 9 months. How much capital did A contribute?

A, B and C are partners in a business. A, whose capital has been used for 5 months, claims 1/7 of the profit. B whose capital has been used for 7 months, claims 1/5 of the profit. C has invested Rs. 4,600 for 9 months. How much capital did A contribute? Correct Answer Rs. 1,800

Let the total profit be 35 unit.

Profit of A = 1/7 × 35 = 5 unit

Profit of B = 1/5 × 35 = 7 unit

Profit of C = 35 – 5 – 7 = 23 unit

Let the capital of A and B are x and y, respectively.

As we know,

Capital × Time = Profit

5x : 7y ∶ 4600 × 9 = 5 : 7 : 23

According to the question

5x/(4600 × 9) = 5/23

x = 9 × 200 = 1800

So, A contribute Rs. 1800

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