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A and B can do a work in 20 days and 30 days respectively. They together contract a work for Rs. 240. Find the share of A.

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Rs. 144

Rs. 96

Rs. 124

Rs. 140

answer is A.

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Detailed Solution

1 day work of $A \Rightarrow \frac{1}{20}$

1 day work of $B \Rightarrow \frac{1}{30}$

The ratio of works alone by A and B

$\Rightarrow \frac{1}{20} : \frac{1}{30} \Rightarrow 30 : 20 \Rightarrow 3 : 2$

A's share $\Rightarrow \frac{3}{5} \times 240 \Rightarrow 144$

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