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A repair contract is worth ₹42,000. Nitin alone could do it in 18 days and Omkar alone in 27 days. They begin together, but Nitin leaves at the end of the sixth day and Omkar completes the rest on his own. The money is divided in proportion to the work each man actually did. What does Omkar receive?

Competition practiceTime & Work / Pipes
  • A₹14,000
  • B₹16,800
  • C₹21,000
  • D₹28,000

Step-by-Step Solution

Take the contract as 54 units: Nitin 3/day, Omkar 2/day. In six days Nitin does 18 units and Omkar 12, a total of 30, so 24 units are left; Omkar clears them alone at 2/day in 12 days. Omkar's own output is 12 + 24 = 36 units against Nitin's 18, so Omkar takes 36/54 = two-thirds of ₹42,000 = ₹28,000. ₹14,000 is Nitin's share. ₹21,000 splits the money down the middle, which would only be right if both had done half. ₹16,800 divides in the 3 : 2 ratio of daily outputs, which is the right split only when both work every day — here Omkar puts in twelve extra days.
Answer: D) ₹28,000

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