SSC CPO 2022 PYQ — Question 138

SSC CPO - 9 Nov 2022 - Shift 3 • Quantitative Aptitude • Q138

A and B can complete a work in 10 days and 15 days, respectively. They got a total of Rs. 1,250 for that work. What will be B’s share?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. Rs. 500.

Given:

A can complete a certain work in = 10 days

B can complete a certain work in = 15 days

We know that,

Work done = Efficiency × Time taken

The wages are distributed in the ratio of the respective efficiency.

Now,

Let the total work be LCM(10, 15) = 30

The efficiency of A = 30/10 = 3

The efficiency of B = 30/15 = 2

They got a total of Rs. 1,250 for that work.

So, the share of B =1250 × 2/5

⇒ 250 × 2 = Rs. 500

Hence the share of B is Rs. 500.