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In a partners...

Question

In a partnership, A invests one-sixth of the capital for one-sixth of the time, B invests one-third of the capital for one-third of the time and C, the rest of the capital for the whole time. Find A's share of the total profit of Rs.2300?

Rs.150

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Rs.180

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Rs.100

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Rs.170

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Solution

The correct option is C
Rs.100

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

If the total investment is `x', profits will be in the ratio - $\frac{x}{36} : \frac{x}{9} : \frac{x}{2}$

If the profit of A is `x'

Profit of B = 4x

Profit of C = 18x

18x + 4x + x =23000

x = Rs.100

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