The production of a company has ups and downs every year. The production increases for two consecutive years consistently by $15 %$ and in the third year it decreased by $10 %$ . Again in the next year it increases by $15 %$ . If we start counting from the year $1990$ , approximately what will be the effect on the production of the company in $1994$ ?

37 %

increase

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52 %

increase

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42 %

increase

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32 %

increase

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Solution

The correct option is A $37 %$ increase
Suppose the production of the company in the year $1990$
Then, the production of the company in a year $1994$
= $1.15 \times 1.15 \times 0.9 \times 1.15 x = 1.368 x$
therefore Increase \percentage in the production in year $1994$
= $\frac{1.368 x - x}{x} \times 100 = 36.8 % = 37 %$

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The correct option is A 37% increaseSuppose the production of the company in the year 1990Then, the production of the company in a year 1994 = 1.15×1.15×0.9×1.15x=1.368xtherefore Increase \percentage in the production in year 1994 = 1.368x−xx×100=36.8%=37%