A and B undertake to do a piece of work for Rs. 330. A can do it in 11 days and B can do it in 22 days. With the help of C, they finish it in 6 days. How much should C be paid for his work?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. Rs.60
Calculations:
Total work done by A, B and C (LCM of 6, 3 and 11) = 66 units
Efficiency of A = 66/11 = 6
Efficiency of B = 66/22 = 3
Efficiency of A + B + C = 66/6 = 11
Efficiency of C = Efficiency of (A + B + C) - [(Efficiency of A) + (Efficiency of B)]
⇒ 11 - (6 + 3) = 11 - 9 = 2
Required payment of C = (330/11) × 2 = Rs 60