X alone can do a piece of work in 5 days. Y can do the same piece of work in 4 days. X and Y are assigned to do the work for Rs 5000. They complete the work in 2 days with the help of Z. How much is to be paid to Z?

Rs 750

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Rs 620

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Rs 700

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Rs 500

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None of these

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Solution

The correct option is D Rs 500
Z's one day work $= \frac{1}{2} - (\frac{1}{5} + \frac{1}{4}) = 10 - 4 - \frac{5}{20} = \frac{5}{20} = \frac{1}{20}$
Ratio = $\frac{1}{5} : \frac{1}{4} : \frac{1}{20} = 4 : 5 : 1$
$Z = 5000 \times \frac{1}{10} = 500$

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X alone can do a piece of work in 5 days. Y can do the same piece of work in 4 days. X and Y are assigned to do the work for Rs 5000. They complete the work in 2 days with the help of Z. How much is to be paid to Z?

The correct option is D Rs 500Z's one day work =12−(15+14)=10−4−520=520=120 Ratio = 15:14:120=4:5:1 Z=5000×110=500

The correct option is D Rs 500
Z's one day work $= \frac{1}{2} - (\frac{1}{5} + \frac{1}{4}) = 10 - 4 - \frac{5}{20} = \frac{5}{20} = \frac{1}{20}$
Ratio = $\frac{1}{5} : \frac{1}{4} : \frac{1}{20} = 4 : 5 : 1$
$Z = 5000 \times \frac{1}{10} = 500$