Exams › SSC CGL (Prelims) › General

P completes a job in 15 days and Q in 20 days. P and Q agree to do the work for ₹6,000. With R, they finish in 4 days. What is R's payment?

1. ₹ 1,800
2. ₹ 3,200
3. ₹ 2,400
4. ₹ 2,800

Correct answer: ₹ 3,200

Solution

P's rate is $1/15$ and Q's rate is $1/20$, so together they work at $7/60$ per day. In 4 days, P+Q do $28/60=7/15$ of the work, so R does the remaining $8/15$. Therefore R's payment is $6000\times \frac{8}{15}=3200$.

Related SSC CGL (Prelims) General questions

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