Multiple choice

A can do a piece of work in 18 days and B can do the same work in 24 days. They finished the work with the assistance of C in 6 days and got Rs. 51 as their wage. Find the share of B in the wage?

  1. Rs. 11.25

  2. Rs. 17

  3. Rs. 12.75

  4. Rs. 11.75

  5. Rs. 21.25

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A did 1/3th of the workin 6 days. B completed 1/4th of the work in 6 days. Work completed by C in 6 days = 1 - (1/3) + (1/4) = 5/12th of the work Since A, B and C did the work in 6 days 1/3th, 1/4th, 5/12th of the work, respectively. A's share = Rs 51 * (1 / 3) = Rs. 17 B's share = Rs 51 * (1 / 4) = Rs. 12.75 C's share = Rs 51 * (5 / 12) = Rs. 21.25. So B's share is Rs 12.75. It is the correct answer.