SSC MTS 2022 PYQ — Question 60

SSC MTS - 20 July 2022 - Shift 3 • Quantitative Aptitude • Q60

A work could be completed in 100 days by some workers. Due to the absence of 16 workers, the work was completed in 108 days. Find the original number of works.

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 216.

Concept used:

M1 × D1 = M2 × D2           ----- (1)

Where M and D are the number of men and days

Calculations:

Let the number of men be x

According to the question;

⇒ x × 100 = (x - 16) × 108

⇒ 25x = 27x - 27 × 16

⇒ 2x = 27 × 16

⇒ x = 27 × 8 = 216