Multiple choice

A alone can do a piece of work in 12 days and B alone in 16 days. A, and B undertook to do it for Rs 6400. With the help of C, they completed the work in 6 days. How much is to be paid to C?

  1. 480

  2. 520

  3. 760

  4. 800
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

A's work rate = 1/12 per day, B's rate = 1/16 per day. In 6 days, A+B complete 6(1/12 + 1/16) = 6(7/48) = 7/8 of the work. So C does 1/8 of the work in 6 days. Payment is divided by work contribution: C's share = (1/8) × 6400 = Rs 800.

Keep practicing — related questions