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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.
