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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?
1. 15,600
2. 17,500
3. 16,600
4. 18,200

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Correct Answer - Option 1 : 15,600

Given:

Investment of A = Rs. 13,750

Investment of B = Rs. 16,250

Investment of C = Rs. 18,750

B's share in profit = Rs. 5200

Calculation:

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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