Multiple choice

A, B and C, working alone can do a piece of work in 15, 30, and 75 days respectively. They work together and get Rs.1615 for completing the work. What is the difference in shares of A and C ?

  1. $Rs.760$
  2. $Rs.620$
  3. $Rs.680$
  4. $Rs.540$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Work rates: A completes in 15 days (rate 1/15), B in 30 days (rate 1/30), C in 75 days (rate 1/75). Taking LCM of 150 as work units: A does 10 units/day, B does 5 units/day, C does 2 units/day. Total 17 units/day means work finishes in 150/17 days. Payment is divided in ratio 10:5:2, so A gets Rs. 950, C gets Rs. 190. Difference is Rs. 760.

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