A man , a woman and a child are doing a piece of work. A man can do it in 5 days, a woman can do it alone in 10 days and the child will take 20 days to complete it. During the first day the man is not feeling well and does not work properly, and from the next day onward he does not come for work. If the child got paid Rs.5100 out of a total of 18,000 for its share of work, find the efficiency of the man on the first day.

63%

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65%

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75%

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none of these

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Solution

The correct option is C
75%

The woman is twice as efficient as the child hence she gets paid twice the money= 10200. Therefore the man gets paid 18000 - (5100+10200)= 2700. The man did

$\frac{2700}{18, 000}$ of the work.

$= {\frac{9}{60}}^{t h}$ in one day.Hence his efficiency is $\frac{(\frac{1}{5})}{(\frac{9}{60})} = 75 % .$

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The correct option is C 75% The woman is twice as efficient as the child hence she gets paid twice the money= 10200. Therefore the man gets paid 18000 - (5100+10200)= 2700. The man did 270018,000 of the work. =960th in one day.Hence his efficiency is (15)(960)=75%.