Question : The population of the village in 2019 was 30,000. The increase in population rate was 15% and 25%, respectively, from the year 2019 to 2020 and 2020 to 2021. What was the population in the year 2021?
Option 1: 42,000
Option 2: 42,325
Option 3: 42,523
Option 4: 43,125
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Correct Answer: 43,125
Solution :
The population of a village 2 years ago = 30000
The population increased at the rate of 15%, 25%.
Now, after an increase in 15% of the population,
New population = 30000 + 15% of 30000 = 30000 + $\frac{15}{100}$ × 30000 = 34,500
After an increase in 25% of the population,
New population= 34500 + 25% of 34500 = 34500 + $\frac{25}{100}$ × 34500 = 43,125
Hence, the correct answer is 43,125.
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