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?
📊 Work and Payment Calculation 📊
A’s work rate = 1/6 (work done per day)
B’s work rate = 1/8 (work done per day)
Combined work rate of A and B = (1/6) + (1/8)
= (4/24) + (3/24)
= 7/24 (work done per day)
With C’s help, they completed the work in 3 days.
Combined work rate of A, B, and C = 1/3 (work done per day)
C’s work rate = Combined work rate of A, B, and C – Combined work rate of A and B
= (1/3) – (7/24)
= (8/24) – (7/24)
= 1/24 (work done per day)
Ratio of work rates of A, B, and C = (1/6) : (1/8) : (1/24)
= 4 : 3 : 1
Total payment = Rs. 3200
C’s share = (1/8) × Rs. 3200
= Rs. 400
🎉 C is to be paid Rs. 400. 📊
