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Three years ago, the population of a town was 50000. If the annual increase during three successive years be at the rate of $4 %, 5 %$ and $3 %$ respectively, find the present population.

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56718

56238

72238

58258

answer is A.

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Detailed Solution

Given,
Population of a town three years ago, P=50000
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 = 3 %

Calculate the present population of a town. Present population

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

⇒ 50000 1 + 4100 × 1 + 5100 × 1 + 3100 ⇒ 50000 × 1 + 125 × 1 + 120 × 103100 ⇒ 50000 × 2625 × 2120 × 103100 ⇒ 56238

Hence, the present population of a town is 56238.
Hence, the correct option is 1.

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