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The count of bacteria in a culture grows by 10% in the first hour, decreases by 8% in the second hour and again increases by 12% in the third hour. If the count of bacteria in the sample is 13125000, what will be the count of bacteria after 3 hours?

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Best answer

Given, 

Count of bacteria in sample = 13125000 

According to increase and decrease of growth rates, 

Let count of bacteria after 3 hours = X 

So,

= 13125000\(({1}+\frac{10}{100})({1}-\frac{8}{100})({1}+\frac{12}{100})\) = x

= 13125000\(\times\frac{11}{10}\times\frac{23}{25}\times\frac{28}{25} = x\)

\(= x=\frac{1312500 \times 10 \times 25 \times 25}{11 \times 23 \times 28}\) = 14876400

Hence, 

Count of bacteria after 3 hours will be = 14876400

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