U and V can complete a piece of work in 6 and 48 days respectively. They contracted to complete the work for Rs 45,000. What will be the share (in Rs) of U?
Let total work is L.C.M. (6,48) = 48 units
U alone can complete a work in 6 days, => U's efficiency = $$\frac{48}{6}=8$$ units/day
Similarly V's efficiency = $$\frac{48}{48}=1$$ unit/day
=> Ratio of efficiencies of $$U:V=8:1$$
Total amount = Rs. 45,000
=> U's share = $$\frac{8}{(8+1)}\times45,000$$
= $$8\times5,000=Rs.$$ $$40,000$$
=> Ans - (D)
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