The share of A in a partnership is Rs.1200 more than that of B, but capital of A is invested for 8 months while capital of B for 12 months. If the share of A of the yearly profits is the same as that of B, then what is the capital of A?

Rs.3000

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Rs.2400

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Rs.3800

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Rs.3600

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Solution

The correct option is D
Rs.3600

Let the investment of A = x

Then, Investment of B = x-1200

$\frac{I n v e s t m e n t o f A \times t i m e o f i n v e s t m e n t o f A}{I n v e s t m e n t o f B \times t i m e o f i n v e s t m e n t o f B}$ = $\frac{P r o f i t o f A}{P r o f i t o f B}$

$\frac{8 x}{12 (x - 1200)} = 1$

$x = R s .3600$

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The share of A in a partnership is Rs.1200 more than that of B, but capital of A is invested for 8 months while capital of B for 12 months. If the share of A of the yearly profits is the same as that of B, then what is the capital of A?

The correct option is D Rs.3600 Let the investment of A = x Then, Investment of B = x-1200 Investment of A ×time of investment of AInvestment of B ×time of investment of B = Profit of AProfit of B 8x12(x−1200)=1 x=Rs.3600