The population of a small village 2 years ago was 3,125. Due to migration to towns, it decreasesevery year at the rate of 4% per annum. Find the present population

2,980

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2,880

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2,890

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2,900

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Solution

The correct option is D 2,880
Population 2 years ago $= 3, 125, R = 4, N = 2$
$A = P {(1 - \frac{R}{100})}^{N} = 3, 125 \times {(1 - \frac{4}{100})}^{2} = 3, 125 \times \frac{24}{25} \times \frac{24}{25} = 2, 880$
Therefore, the present population of the village is 2,880.

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The population of a small village 2 years ago was 3,125. Due to migration to towns, it decreasesevery year at the rate of 4% per annum. Find the present population

The correct option is D 2,880Population 2 years ago =3,125,R=4,N=2A=P(1−R100)N=3,125×(1−4100)2=3,125×2425×2425=2,880Therefore, the present population of the village is 2,880.

The correct option is D 2,880
Population 2 years ago $= 3, 125, R = 4, N = 2$
$A = P {(1 - \frac{R}{100})}^{N} = 3, 125 \times {(1 - \frac{4}{100})}^{2} = 3, 125 \times \frac{24}{25} \times \frac{24}{25} = 2, 880$
Therefore, the present population of the village is 2,880.