A alone can do a piece of work in 6 days and B alone in 8 days. A and…

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

Accepted Answer

Option B. Rs. 400. Answer & Solution Answer: Option B Solution: & C's\, 1\, day's\, work & = 1/3 - ( 1/6 + 1/8 ) & = 1/3 - 724 & = 124 & A's\, wages:B's\, wages:C's\, wages & = 1/6:1/8: 124 & = 4:3:1 & C's\, share\, (for\, 3\, days\, ) & = Rs.\, ( 3 × 124 × 3200 ) & = Rs.\,400