Question

'B' alone can complete a work in 16 days while 'A' and 'B' together can complete the same work in 8 days. 'A' alone started the work and left after 4 days and rest of the work is completed by 'B' alone. If total payment is Rs. 8,000, then find the wages received by 'A'.

A Rs. 2,000 Correct Answer Incorrect Answer
B Rs. 2,400 Correct Answer Incorrect Answer
C Rs. 2,500 Correct Answer Incorrect Answer
D Rs. 3,000 Correct Answer Incorrect Answer
E Rs. 1,800 Correct Answer Incorrect Answer

Solution

Let the total work = L.C.M of 16 and 8 = 16 units Then, efficiency of 'B' alone = 16 ÷ 16 = 1 unit/day Combined efficiency of 'A' and 'B' = 16 ÷ 8 = 2 units/day So, efficiency of 'A' alone = 2 - 1 = 1 unit/day Work done by 'A' alone in 4 days = 1 × 4 = 4 units So, payment received by 'A' = (4/16) × 8000 = Rs. 2,000

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