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In a Business A and C Invested Amounts in the Ratio 2:1, Whereas the Ratio Between Amounts Invested by A and B was 3:2. If Rs. 157300 was their Profit, how much Amount did B Receive?

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Explanation

In a business A and C invested amounts in the ratio 2:1.

The ratio between amounts invested by A and B was 3:2.

The abstruse thing here is the ratio given separately i.e. A:C (2:1) and A:B (3:2) and our aim is to find out a way to pen-down the ratio in this format; A : B : C.

To achieve the desire goal, A:C and A:B should be multiplied with 3 and 2 respectively and it becomes; A:C = 6:3 and A:B = 6:4.

This implies that A : B : C = 6 : 4 : 3

Out of total profit (157300), B receives;

B’s share in profit = (B’s ratio of investment x total profit)/total ratio

To Find

B’s share in profit = ?

Solution

  • A : C = 2 : 1
  • A : C = 6 : 3
  • A : B = 3 : 2
  • A : B = 6 : 4

A : B : C = 6 : 4 : 3     (and 6 + 4 + 3 = 13)

Total profit (given) = 157300

B’s share in profit = (4 x 157300)/13 = Rs. 48400 answer

Conclusion

In a business A and C invested amounts in the ratio 2:1, whereas the ratio between amounts invested by A and B was 3:2. If Rs. 157300 was their profit, then amount of profit received by B would be Rs. 48400.

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