Question
Vikram alone can finish some work in 20 days. Vikram and
Varun completed the work together and earned Rs. 8,000 as wage. If Varun's wage share is Rs. 3,200, then find the time taken by Varun to finish the work alone.Solution
ATQ, Share of Vikram = 8000 - 3200 = Rs. 4,800 We know that wages are distributed in the ratio of efficiency when work is done together. So, the ratio of efficiency of Vikram and Varun = 4800:3200 = 3:2 Therefore, the ratio of time taken by Vikram and Varun to complete the work alone = 2:3 Therefore, the time taken by Varun to finish the work = 20 x (3/2) = 30 days
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