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P,Q and R together earn Rs.1620 in 9 days. P and R can earn Rs.600 in 5 days. Q and R in 7 days can earn Rs.910. How much amount does R can earn per day?

Correct answer: B. Rs.70

  • A. Rs.40
  • B. Rs.70
  • C. Rs.90
  • D. Rs.100

Explanation

Let the daily earnings of P, Q and R be p, q and r rupees per day. From the data, p + q + r = Rs.1620 ÷ 9 days = Rs.180 per day, p + r = Rs.600 ÷ 5 days = Rs.120 per day, and q + r = Rs.910 ÷ 7 days = Rs.130 per day; subtracting gives q = Rs.60 per day and then r = Rs.70 per day. Students may choose Rs.90 by subtracting the combined amounts without first converting them to daily earnings.

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