The present population of a village whose population is increasing at the rate of 25% is 20000. Find the population of the village 2 years ago.

12800

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11900

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13010

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14005

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Solution

The correct option is A 12800
Given,
A = 20000
r = 25 %
n = 2 years

Let P be the population of town 2 years ago.

$A = P (1 + \frac{25}{100})^{2}$
$20000 = P (1 + \frac{1}{4})^{2}$
$20000 = P (\frac{5 \times 5}{4 \times 4})$
$P = \frac{20000 \times 4 \times 4}{5 \times 5}$
$P = 12800$

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The present population of a village whose population is increasing at the rate of 25% is 20000. Find the population of the village 2 years ago.

The correct option is A 12800Given, A = 20000 r = 25 % n = 2 years Let P be the population of town 2 years ago. A=P(1+25100)2 20000=P(1+14)2 20000=P(5 × 54 × 4) P=20000 × 4 × 45 × 5 P=12800

The correct option is A 12800
Given,
A = 20000
r = 25 %
n = 2 years

Let P be the population of town 2 years ago.

$A = P (1 + \frac{25}{100})^{2}$
$20000 = P (1 + \frac{1}{4})^{2}$
$20000 = P (\frac{5 \times 5}{4 \times 4})$
$P = \frac{20000 \times 4 \times 4}{5 \times 5}$
$P = 12800$