Question : A, B, and C together start a business. Three times the investment of A equals four times the investment of B and the capital of B is twice that of C. The ratio of the shares in the profit is:
Option 1: 8 : 3 : 6
Option 2: 3 : 8 : 6
Option 3: 3 : 6 : 8
Option 4: 8 : 6 : 3
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Correct Answer: 8 : 6 : 3
Solution :
Given: Three times the investment of A equals four times the investment of B.
So, 3A = 4B
⇒ A : B = 4 : 3
The capital of B is twice that of C
So, B = 2C
⇒ B : C = 2 : 1
Now, A : B = 4 : 3 = 8 : 6
Also, B : C = 2 : 1 = 6 : 3
⇒ A : B : C = 8 : 6 : 3
Hence, the correct answer is 8 : 6 : 3.
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