SSC CGL 2022 PYQ — Question 71

SSC CGL - 02 Dec 2022 - Shift 2 • Quantitative Aptitude • Q71

A district has 10,24,000 inhabitants. If the population increases at the rate 2.5% per annum, find the number of inhabitants at the end of three years.

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2. i.e. 11,02,736.

Given:

Present population = 10,24000

Increment = 2.5%

Concept Used:

New population=present population×(1+increment100)tNew\ population = present\ population \times (1 + {increment \over 100})^t  ....(i)

Explanation:

Using equation (i), New population = 10,24000×(1+2.5100)310,24000 \times (1 + {2.5 \over 100})^3 

⇒ New population = 10,24000×(102.5100)310,24000 \times ({102.5 \over 100})^3

⇒  New population = 11,02,736

Hence the population after 3 years is 11,02,736.