Question
Download Solution PDFA can do a work in 20 days, while B can do the same work in 25 days. They started the work jointly. Few days later C also joined them and thus all of them completed the whole work in 10 days. All of them were paid total Rs.700. What is the share of C?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A can complete the work in 20 days.
B can complete the work in 25 days.
All three (A, B, and C) completed the work together in 10 days.
Total payment = Rs.700.
Formula Used:
Work done by a person in one day = 1 / Number of days to complete the work.
Total work done = Work completed in 10 days.
Share of payment = (Work done by the person / Total work) × Total payment.
Calculation:
Work done by A in 1 day = 1 / 20.
Work done by B in 1 day = 1 / 25.
Work done by A and B in 1 day = (1 / 20) + (1 / 25).
Work done by A and B in 1 day = 5 / 100 + 4 / 100 = 9 / 100.
Work done by A and B in 10 days = 10 × (9 / 100) = 90 / 100.
Remaining work = Total work - Work done by A and B.
Remaining work = 1 - (90 / 100) = 10 / 100.
Work done by C = Remaining work = 10 / 100.
Total payment = Rs.700.
Share of C = (Work done by C / Total work) × Total payment.
Share of C = (10 / 100) × 700 = Rs.70.
The share of C is Rs.70.
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