Question
Virat can do a piece of work in 18 days and Sachin can
do the same work in 27 days. If Virat works for 3 days and got Rs. 2700, and the remaining work will completed by Sachin, then how much rupee Sachin earned?Solution
Assume total work = LCM (18, 27) = 54 If the entire work is 54 units, Virat can complete 3 unit per day, and Sachin can complete 2 unit per days In 3 days, Virat completes 9 units and got Rs.2700 i.e. Rs.300 per unit. Remaining work = (54 – 9)unit = 45 unit ∴ Sachin earning = Rs.45 × 300 = Rs. 13500
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