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Previous Year Questions

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Question :

A, B and C started a business. A invested twice more than B's investment and investment of C is two-third more than the investment of B. If period of investment for A is one-fourth more than B and one-third less than C, then what is the respective ratio of profit earned by A, B and C?

1. 24: 9: 20

2. 30: 8: 25

3. 9: 3: 8

4. 12: 8: 15

5. None of these

Correct Answer : 2
Solution :

Let B's investment = p

Then, A's investment = (1 + 2) * p = 3p

And, C's investment = (1 + 2/3) * p = 5p/3

Let period of investment of A = m

Then, period of investment of B = m/(1 + 1/4) = 4m/5

And, period of investment of C = m/(1 - 1/3) = 3m/2

Therefore, profit ratio, A: B: C = (3p * m): (p * (4m/5)): ((5p/3) * (3m/2)) = 30: 8: 25

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