A and B undertake a piece of work for Rs 250 A alone can do that work in 5 days and B alone can do t...........

Quantitative Aptitude ( CCS) Time and work

A and B undertake a piece of work for Rs. 250. A alone can do that work in 5 days and B alone can do that work in 15 days. With the help of C, they finish the work in 3 days. If every one gets paid in proportion to work done by them, the amount C will get is ?

100

150

200

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Explanation:

Let efficiency of C be x
3 × 3 + 1 × 3 + x × 3 = 15
9 + 3 + x × 3 = 15
x = 1
Work done by A in 3 days = 9
Work done by B in 3 days = 3
Work done by C in 3 days = 3
Ratio of work done
⇒ 9 : 3 : 3
⇒ 3 : 1 : 1
Amount that C will get = 250 × 1/5 = 50 Rs.