Amar Akbar and Anthony take up a task to finish for Rs 876 Amar completes his assignment in 4 d...........

Quant (SSC) Time and work

Amar, Akbar and Anthony take up a task to finish for Rs. 876. Amar completes his assignment in 4 days, Akbar does it in 8 days and Anthony takes 12 days to finish it. They complete the work with the help of there mother Nirupama in 2 days. What does Nirupama get?

307

267

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Explanation:

Let Nirupama completes the work in x days.
The efficiency equation will be as follows:
2 days' work done by all the four persons working together = 1
2(1/4 + 1/8 + 1/12 + 1/x) = 1
or 1/4 + 1/8 + 1/12 + 1/x = 1/2
or 6 + 3 + 2 /24 + 1/x = 1/2
or 11/24 + 1/x = 1/2
or 1/x = 1/2 - 11/24 = 12 - 11 /24
⇒ 1/x = 1/24
∴ Ratio of wages
= 1/4 : 1/8 : 1/12 : 1/24 = 6 : 3 : 2 : 1
Now, Sum of the terms of ratio = 6 + 3 + 2 + 1 = 12
∴ Share of Nirupama = 1/12 x 876 = Rs. 73