The micro organisms in a culture increase by $20 %$ in the first hour, decrease by $10 %$ in the second hour and again increase by $20 %$ in the third hour. If the original count of micro organisms in a sample is $25000$ , then find the bacteria count at the end of $3$ hours.

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Solution

$C o u n t o f m i c r o o r g a n i s m = 25000$
$20 % i n c r e a s e i n f i r s t h o u r$
$s o = 25000 \times \frac{120}{100}$
$10 % d e c r e a s e i n sec o n d h o u r$
$s o = 25000 \times \frac{120}{100} \times \frac{90}{100}$
$20 % i n c r e a s e i n t h i r d h o u r$
$s o = 25000 \times \frac{120}{100} \times \frac{90}{100} \times \frac{120}{100}$
$= 32400$

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