SSC CPO 2023 PYQ — Question 130

SSC CPO - 04 Oct 2023 - Shift 2 • Quantitative Aptitude • Q130

In an office, 75 employees can finish a project in 60 days. After a few days, 15 employees left the job and the project was completed in 65 days. After how many days did the 15 employees leave?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 40.

Concept used

Total work = Worker × efficiency

Given that

75 employees can finish a project in 60 days

Let, after D days, 15 employees left the work 

According to hte question

⇒ 75 × D + (75 - 15) × (65 - D) = 75 × 60

⇒ 75 D + 60 × 65 - 60 D= 75 × 60

⇒ 15 D = 4500 - 3900 = 600

⇒ D = 600/15 = 40 days