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The population of a certain city was 72000 on the last day of the year1998 .During next year it increased by $7 %$ but due to an epidemic it decreased by $10 %$ in the following year. What was its population at the end of the year 2000?

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69336

20336

49336

687236

answer is A.

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Detailed Solution

Given,
Population of a city in 1998, P=72000
Growth rate of population in 1999,

R 1 = 7 %

Decrease rate of population in 2000,

R 2 = 10 %

Number of years, n=2
Calculate the population at the end of year 2000. Population at the end of year 2000

⇒ P 1 + R 1 100 × 1 − R 2 100

⇒ 72000 1 + 7100 × 1 − 10100 ⇒ 72000 × 107100 × 910 ⇒ 69336

Hence, the population at the end of year 2000 will be 69336.
Hence, the correct option is 1.

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