SSC CPO 2024 PYQ — Question 149

SSC CPO - 29 June 2024 Shift 2 • Quantitative Aptitude • Q149

The population of a town increases annually by 20%. If the present population is 80 lakh, then what is the difference between the population three years ago and 2 years ago?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 925925.93.

According to the given question,

Let the population of the town 3 years ago be x and population of the town 2 years ago be y.

⇒ x×120100×120100×120100x \times {120 \over 100} \times {120 \over 100} \times {120 \over 100} = 80,00,000

⇒ x = 4629629.62963

Population of town 2 years ago,

⇒ y×120100×120100y \times {120 \over 100} \times {120 \over 100} = 80,00,000

⇒ y = 5555555.55556

The required difference = y - x

⇒ 5555555.55556 - 4629629.62963 = 925925.93

Hence the difference between the population three years ago and 2 years ago is 925925.93.