Question
Virat can do a piece of work in 28 days and Sachin can
do the same work in 42 days. If Virat works for 4 days and got Rs. 1800, and the remaining work will completed by Sachin, then how much rupee Sachin earned?Solution
Assume total work = LCM (28, 42) = 84 If the entire work is 84 units, Virat can complete 3 unit per day, and Sachin can complete 2 unit per days In 4 days, Virat completes 12 units and got Rs.1800 i.e. Rs.150 per unit. Remaining work = (84 – 12)unit = 72 unit ∴ Sachin earning = Rs.72 × 150 = Rs. 10800
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