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Question : P alone can do work in 10 days, Q alone can do the same work in 15 days and R alone can do the same work in 12 days. They jointly complete the work and earn Rs. 3000. What is the share of R?

Option 1: Rs. 1200

Option 2: Rs. 800

Option 3: Rs. 1500

Option 4: Rs. 1000


Team Careers360 22nd Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

Correct Answer: Rs. 1000


Solution : Let's the rate of work for P, Q, and R as P r ​, Q r , and R r respectively.
P r = $\frac{1}{10}$because P can complete the work in 10 days
Q r = $\frac{1}{15}$because Q can complete the work in 15 days
R r = $\frac{1}{12}$because R can complete the work in 12 days
Ratio of their efficiency P : Q : R = $\frac{1}{10}: \frac{1}{15}: \frac{1}{12} = 6 : 4: 5$
Share of R = $\frac{5}{15}$​ × 3000 = 3000 = Rs.1000
Hence, the correct answer is Rs.1000.

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