A, B, and C can finish a work in $20$, $25$, and $30$ days respectively. If they complete it together for Rs $3700$, A’s wage share is:

Question

A, B, and C can finish a work in $20$, $25$, and $30$ days respectively. If they complete it together for Rs $3700$, A’s wage share is:

Option A

Rs 1000

Option B

Rs 1200

Option C — Correct answer

Rs 1500

Correct choice.

Option D

Rs 1700

Explanation

Their wage ratio is $\frac1{20}:\frac1{25}:\frac1{30}=15:12:10$. Total parts $=37$, so A gets $\frac{15}{37}\times3700=1500$.

Chapter Mock 7: Time and Work, Pipe and Cistern