Question

# In a partnership business, the capital that Arav invested is double the capital that Zoya invested. The ratio of their period of investment is 12:13. The ratio of their profit is ______.

A

2 : 7

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B

3 : 2

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C

5 : 6

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D

3 : 8

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Solution

## The correct option is B 3 : 2 (Arav's investment period) : (Zoya's investment period) = 12:13 = 3 : 2 Let the multiplying factor of the ratio be z. Since, ratio of their investments is 3 : 2, Arav invested for 3z months and Zoya invested for 2z months. Let capital of Zoya be y. Then, capital of Arav would be 2y ∴, Arav's profit : Zoya's profit = (3z) × (2y) : (2z) × (y) ⇒ 6zy : 4zy ⇒ 6 : 4 ⇒ 3 : 2

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