A and B are partners in a business- A contributes 1-4 of the capital for 15 months and B received 1-4 of the profit- Find for how long B-s money was invested in the business-A- 1 yearB- 10 MonthsC- 9 MonthsD- 6 Months

The correct option is B 10 MonthsA's capital = 1/4 K B;s Capital = 3/4 K A and B share the total profit in the ratio 1:2. Let B contribute for x months ∴1/4 K ...

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Standard VIII

Mathematics

A and B are p...

Question

A and B are partners in a business. A contributes $\frac{1}{4}$ of the capital for 15 months and B received $\frac{1}{4}$ of the profit. Find for how long B's money was invested in the business ?

1 year

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9 Months

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6 Months

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10 Months

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Solution

The correct option is D 10 Months
A's capital $= \frac{1}{4} K$
B;s Capital $= \frac{3}{4} K$
A and B share the total profit in the ratio 1:2. Let B contribute for x months
$∴ \frac{\frac{1}{4} K \times 15}{\frac{3}{4} K \times x} = \frac{1}{2} \Rightarrow x = 10.$

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A and B are partners in a business. A contributes 14 of the capital for 15 months and B received 14 of the profit. Find for how long B's money was invested in the business ?

The correct option is D 10 MonthsA's capital =14K B;s Capital =34K A and B share the total profit in the ratio 1:2. Let B contribute for x months ∴14K×1534K×x=12⇒x=10.

A and B are partners in a business. A contributes $\frac{1}{4}$ of the capital for 15 months and B received $\frac{1}{4}$ of the profit. Find for how long B's money was invested in the business ?

The correct option is D 10 Months
A's capital $= \frac{1}{4} K$
B;s Capital $= \frac{3}{4} K$
A and B share the total profit in the ratio 1:2. Let B contribute for x months
$∴ \frac{\frac{1}{4} K \times 15}{\frac{3}{4} K \times x} = \frac{1}{2} \Rightarrow x = 10.$