Question : In a business, A and C invested amounts in the ratio 2 : 1, while A and B invested amounts in the ratio 3 : 2. If their total annual profit is Rs. 157300, what is B's share of the profit?
Option 1: Rs. 24200
Option 2: Rs. 48000
Option 3: Rs. 36300
Option 4: Rs. 48400
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Correct Answer: Rs. 48400
Solution :
Given: In a business A and C invested amounts in the ratio of 2 : 1 i.e. A : C = 2 : 1
A and B invested amounts in the ratio 3 : 2 i.e. A : B = 3 : 2
Their annual profit is Rs. 157300.
A : B = 3 : 2 = 6 : 4
A : C = 2 : 1 = 6 : 3
So, A : B : C = 6 : 4 : 3
Now, B's share = $\frac{4}{6+4+3}$ × 157300 = $\frac{4}{13}$ × 157300 = Rs. 48400
B's share in the profit is Rs. 48400.
Hence, the correct answer is Rs. 48400.
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