SSC CGL 2017 PYQ — Question 13

SSC CGL Tier II Quant - 12/01/2017 • Quantitative Aptitude • Q13

35 persons are engaged to complete a work in 60 days. After 32 days it is observed that only (2/5)th part of the work has been done. The number of persons to be engaged to complete the remaining work in the said period is

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 25

Understanding

Application

35 persons are engaged to complete a work in 60 days. After 32 days, it is observed that only 2/5th of the work has been done.

So,

Remaining time = 60 – 32 = 28 days

And

Remaining work = 1 – 2/5 = 3/5th

We know:

[M1 × D1]/W1 = [M2 × D2]/W2

So,

[35 × 32]/(2/5) = [M2 × 28]/(3/5)

M2 = (35 × 32 × 3)/(2 × 28)

M2 = 60

 

Hence,

Number of more workers needed = 60 – 35 = 25