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Question

A, B and C started a business by investing Rs 13,750, Rs 16,250 and Rs 18,750, respectively. If B's share in the profit earned by them is Rs 5,200, what is the total profit (in Rs) earned by them together?

A 15,600 Correct Answer Incorrect Answer
B 17,500 Correct Answer Incorrect Answer
C 18,200 Correct Answer Incorrect Answer
D 16,600 Correct Answer Incorrect Answer

Solution

Ratio of investment A ∶ B ∶ C = 13,750 ∶ 16,250 ∶ 18,750 ⇒ A ∶ B ∶ C = 11 ∶ 13 ∶ 15 Ratio of their profit will be same as ratio of their investment Let profit of A be 11x, B be 13x and C be 15x. As, B's share = 5200 ⇒ 13x = 5200 ⇒ x = 5200/13 = 400 Total profit = 11x + 13x + 15x = 39x ⇒ Total profit = Rs. (39 × 400) = Rs. 15,600 ∴ Total profit is Rs. 15,600.

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