P completes job in 15 days, Q in 20 days. P and Q agree for ₹6,000. With R they finish in 4 days. R's payment?

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Accepted Answer

1. P's rate = $1/15$ and Q's rate = $1/20$. Together they do $1/15+1/20=7/60$ of the job per day.
2. All three finish the job in 4 days, so combined rate is $1/4$. R's rate = $1/4-7/60=8/60=2/15$.
3. Work done in 4 days: P = $4	imes\frac{1}{15}=\frac{4}{15}$, Q = $4	imes\frac{1}{20}=\frac{1}{5}=\frac{3}{15}$, R = $4	imes\frac{2}{15}=\frac{8}{15}$.
4. Ratio P:Q:R = $4:3:8$. R's share = $\frac{8}{15}	imes6000=3200$. **Answer: ₹3,200.**

FINAL_ANSWER: b

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