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A and B start a business by investing equal amounts. Four months later, C joins them by investing Rs. 3.5 lakhs. By withdrawing his investment in the business B leaves the business 4 months after C joined. At the end of the year the business makes Rs. 62,400 profit out of which A collects Rs. 24,000 as his share of profit. How much should be paid to C (in Rs.) as his share of profit?

A and B start a business by investing equal amounts. Four months later, C joins them by investing Rs. 3.5 lakhs. By withdrawing his investment in the business B leaves the business 4 months after C joined. At the end of the year the business makes Rs. 62,400 profit out of which A collects Rs. 24,000 as his share of profit. How much should be paid to C (in Rs.) as his share of profit? Correct Answer 22400

Let A and B invested Rs. x each in the business at the starting and as given, C invested Rs. 3.5

Lakhs.

Since A invested for 12 months, B invested for 8 months and C invested for 8 months.

⇒ Ratio in which profit would be shared = (x × 12) ∶ (x × 8) ∶ (3.5 × 8) = 3x ∶ 2x ∶ 7

Now given total profit is Rs. 62400 and profit share of A is Rs. 24000,

⇒ 3x/ (5x + 7) = 24000/62400

⇒ 3x/ (5x + 7) = 5/13

⇒ 39x = 25x + 35

⇒ 14x = 35

⇒ x = 5/2 = 2.5 lakhs

∴ Share of C = × 62400 = Rs. 22400

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