Question : In the first year, the population of a town decreased by 5% due to the Coronavirus first wave. In the next year, it decreased again by 5% due to the second wave and in the third year, it increased by 5%. At the end of the third year, the population was 9,47,625. What was the population at the beginning of the first year?
Option 1: 7,00,000
Option 2: 10,00,000
Option 3: 8,97,993
Option 4: 9,92,519
Correct Answer: 10,00,000
Solution :
Let $x$ be the population at the beginning of the first year.
According to the question,
$x$ × 0.95 × 0.95 × 1.05 = 947625
⇒ $x$ = $\frac{947625}{0.95 × 0.95 × 1.05}$ = 1000000
Hence, the correct answer is 10,00,000.
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