Question
Vijay can do a piece of work in 34 days and Sanjay can
do the same work in 51 days. If Vijay works for 5 days and got Rs. 1650, and the remaining work will completed by Sanjay, then how much rupee Sanjay earned?Solution
Assume total work = LCM (34, 51) = 102 If the entire work is 102 units, Vijay can complete 3 unit per day, and Sanjay can complete 2 unit per days In 5 days, Vijay completes 15 units and got Rs. 1650 i.e. Rs.110 per unit. Remaining work = (102 – 15)unit = 87 unit ∴ Sanjay earning = Rs.87 × 102 = Rs. 9570
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