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Application of Formula of CI

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Question

The production of a mixi company in 1996 was 8000 mixies. Due to increase in demand it increases its production by $15 %$ in the next two years and after two years its demand decreases by $5 %$ . What will be its production after 3 years?

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Solution

Production of Mixi in 1996 = 8000
Increase in next 2 years $= 15 %$
Decrease in the third year $= 5 %$
$∴$ Production after 3 years
$= 8000 {(1 + \frac{15}{100})}^{2} {(1 - \frac{5}{100})}^{1}$
$= 8000 {(\frac{23}{20})}^{2} (\frac{19}{20})$
$= 8000 \times \frac{23}{20} \times \frac{23}{20} \times \frac{19}{20} = 10051$

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