# Three partners A, B, and C invested some money and shared profit in the ratio 3 ∶ 7 ∶ 5. If the total profit is Rs. 6840, how much more money did A an

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Three partners A, B, and C invested some money and shared profit in the ratio 3 ∶ 7 ∶ 5. If the total profit is Rs. 6840, how much more money did A and C earned over B?
1. Rs. 456
2. Rs. 484
3. Rs. 436
4. Rs. 452

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Correct Answer - Option 1 : Rs. 456

Given:

Ratio of share of A, B and C = 3 ∶ 7 ∶ 5

Total profit = Rs. 6840

Calculation:

Let the share of A, B and C = 3a, 7a and 5a

The sum of money = Rs. 6840

3a + 7a + 5a = Rs. 6840

⇒ 15a = Rs. 6840

⇒ a = 6840/15

⇒ a = Rs. 456

Money A and C earned more than B = (3a + 5a) - 7a

⇒ 8a - 7a

⇒ a = Rs. 456