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Question 68
Two persons A and B undertake to paint a house for Rs. 54,000/-, A alone can paint the house in 40 days and Balone canpaint the house in 45 days, A and B along with a third person C complete painting in 20 days. Then, the share of C is (in rupees)
Solution
Let the total work be = 360 units
Hence, A can complete 360/40 = 9 units/day and B can complete 360/45 = 8 units/day
It is given that A,B,C together finish the work in 20 days i.e. all 3 complete 18 units/day
Hence, C alone does 18-9-8 = 1 unit/day
Hence, share of C = (1/18)*54,000 = 3000 rupees
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