Question

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 ₹ 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?

Options

• ₹ 375

• ₹ 400

• ₹ 600

• ₹ 800

Answer 1

₹ 400

Explanation:

C's 1 day's work = `1/3 - (1/6 + 1/8) = 1/3 - 7/24 = 1/24`

A's wages : B's wages : C's wages =  `1/6 : 1/8 : 1/24` = 4 : 3 : 1

∴ C's share (for 3 days) = ₹`(3 xx 1/24 xx 3200)` = ₹ 400.