Question
Download Solution PDFRam can do a work in 20 days. Ram and Shyam together can do the same work in 15 days. If they are paid Rs.400 for that work, what is the share of Shyam (in Rs.).
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Ram alone can do the work in = 20 days
Ram and Shyam together can do the work in = 15 days
Total payment for the work = Rs.400
Formula used:
Efficiency = Total work / Days
Shyam’s share = (Shyam's efficiency / Total efficiency) × Total payment
Calculations:
Total work (LCM of 20, 15) = 60 units
Efficiency of Ram = 60 / 20 = 3 units/day
Efficiency of (Ram + Shyam) = 60 / 15 = 4 units/day
Efficiency of Shyam = Efficiency of (Ram + Shyam) - Efficiency of Ram
Efficiency of Shyam = 4 - 3 = 1 unit/day
Share of payment is divided based on efficiency:
Total efficiency = 4 units/day
Shyam’s share = (Shyam's efficiency / Total efficiency) × Total payment
Shyam’s share = (1 / 4) × 400 = Rs.100
Shyam's share is Rs.100.
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