Question

A and B undertake to complete a piece of work for ₹600. A alone can complete it in 4 days while B alone can complete it in 6 days. With the help of C, they finish the work in 2 days. Find the share of C in the payment received.

• A. 200
• B. 78
• C. 100
• D. 300

Answer 1

Answer:

C. 100

A alone complete a work =4 days B alone complete a work =6 days LCM of these two is the work ie =12 efficiency of A=12/4=3 efficiency of B = 12/6=2 A and B are work together the one day work is 5 if C is included the work they will complete the work in 2 days so the efficiency of C is 2 days=12/efficiency of (A+B+C) 2=12/(5+C) 1=6/(5+C) (5+C)=6 C=1 so the ratio of efficiency of A:B:C = 3:2:1 the share of C=600*(1/6)=100