The nagar palika of certain city started campaign to kill the stray dogs which numbered 1250 in the city as a result, the population of stray dogs started decreasing at the rate of 20 % per month . Calculate the number of stray dogs in the city three months after the campaign started.

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Solution:

⇨Given
⇨p=1250
⇨r=20%
⇨n=3 months

⇨The number of stray dogs in the city three months after the campaign started Will be

$\large A=p\left ( 1-\frac{r}{100} \right )^{n}$

$\large \Rightarrow A=1250\left ( 1-\frac{20}{100} \right )^{3}$

$\large \Rightarrow A=1250\left ( \frac{100-20}{100} \right )^{3}$

$\large \Rightarrow A=1250\left ( \frac{80}{100} \right )^{3}$

$\large \Rightarrow A=1250\times \frac{512000}{1000000}$

$\large \Rightarrow A=125\times \frac{512}{100}$

$\large \Rightarrow A=125\times 5.12$

$\large \Rightarrow A=640$ dogs

⇨Therefore no. of stray dogs=640

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