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Question

The bacteria in a a culture grows by 10% in the first hour, decreases by 10% in the second hour and again increases by 10% in the third hour.If the count of bacteria in the sample is 121000000, what will be the count of bacteria after 3 hours?

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Solution

After 1st Hour bacteria increase by 10%
therefore Count of bacteria after 1st hr=121000000+121000000×10100=133100000
After 2nd Hour bacteria decrease by 10%
therefore Count of bacteria after 2nd hr=133100000133100000×10100=119790000
After 3rd Hour bacteria increase by 10%
therefore Count bacteria after 3rd hr=119790000+119790000×10100=131769000

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