During the first year, the population of a town increased by 12%. The next year, due to some contagious disease, it decreased by 8%. At the end of the second year, the population was 64,400. Find the population of the town at beginning of the first year.

Question

Question

This question was previously asked in

SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 4)

Answer 1

Given:

First year increase rate = 12%

Second year decrease rate = 8%

Calculations:

Let the initial population be x.

Then, According to question,

92% of 112% of x = 64,400

⇒ 0.92 × 1.12x = 64,400

⇒ x = 64,400/(0.92×1.12)

⇒ x = 64,400/1.0304

⇒ x = 62,500

Hence, The Required value is 62,500.

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