SSC CPO 2022 PYQ — Question 113

SSC CPO - 9 Nov 2022 - Shift 3 • Quantitative Aptitude • Q113

Directions: The following pie chart shows the number of workers of different categories A, B, C, D, E, F, G and H of a factory in 1995.

If the number of workers in Category B increased by 10% and the number of workers in Category D decreased by 5% in 1996, then what is the total number of workers in Categories B and D in 1996, if the number of workers in B was 1500 in the year 1995?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 4025.

Given that

If the number of workers in category B is increased by 10%, the number of workers in category D is decreased by 5% in 1996,

The number of workers in B was 1500 in the year 1995.

According to the question

⇒ 15% = 1500

⇒ 1% = 1500/15 = 100

The number of workers in D in the year 1995 = 25% = 100 × 25 = 2500 

Now, the number of workers in B in the year 1996 = 1.1 × 1500 = 1650

The number of workers in D in the year 1996 = 0.95 × 2500 = 2375

Hence, the total number of workers in B and D in the year 1996 = 2375 + 1650 = 4025