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The present population of a town is 25000. It grows at $4 %, 5 %$ and $8 %$ during first year, second year and third year respectively. Find its population after 3 years.

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39484

29484

22484

31584

answer is B.

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Detailed Solution

Given,
Present population of a town, P=25000
Rate of growth of population during first year,

R 1 = 4 %

Rate of growth of population during second year,

R 2 = 5 %

Rate of growth of population during third year,

R 3 = 8 %

Population of a town after three years

= P 1 + R 1 100 × 1 + R 2 100 × 1 + R 3 100

⇒ 25000 1 + 4100 × 1 + 5100 × 1 + 8100 ⇒ 25000 × 1 + 125 × 1 + 120 × 1 + 225 ⇒ 25000 × 2625 × 2120 × 2725 ⇒ 29484

Hence, the population of a town after three years will be 29484.
Hence, the correct option is 2.

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