A work is completed by X, Y and Z in 15 days, 12 days and 20 days respectively. If they together earn Rs. 4800 for the whole work. What is the earning of C? (answer with steps please)
Answers
Answer:
Given:
A and B can complete a work in 20 days and 30 days respectively. They work together for 10 days. The rest of the work is completed by C in four more days. They got Rs. 6000 for the whole work.
Formula used:
The amount paid = ratio of work done × total amount paid
Calculation:
A's 10-day work contribution = 50%
B's 10-day work contribution = 33.33%
C's four-day work contribution = 16.66%
⇒ Ratio of contribution of work of A, B and C = 50 : 33.33 : 16.66 = 3 : 2 : 1
⇒ A's total share = (3/6) × 6000 = 3000
⇒ B's total share = (2/6) × 6000 = 2000
⇒ C's total share = (1/6) × 6000 = 1000
∴ A's one day's earning = Rs. 3000/10 = Rs. 300
∴ B's one day's earning = Rs. 2000/10 = Rs. 200
∴ C's one day's earning = Rs. 1000/4 = Rs. 250
Step-by-step explanation: