Q) A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?

a) Rs. 375          b) Rs. 400                c) Rs. 600            d) Rs. 800

Ans:

A’s 1 day’s work = 1/6

B’s 1 day’s work = 1/8

∴ (A + B)’s 1 day’s work = 1/6 + 1/8 = 7/24

∴ (A + B + C)’s 1 day work = 1/3

∴ C’s 1 day’s work = (A + B + C)’s 1 day work – (A + B)’s 1 day’s work

= 1/3 – 7/24 = 1/24

Ratio of working capacities of A: B: C :: 1/6 : 1/8 : 1/24 => 4:3:1

C’s share from Rs. 3200 = 1/8 x 3200 = Rs. 400

Hence, Answer is [B].

Please do press “Heart” button if you liked the solution.