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Question

If the price of a book is first decreased by $$25\%$$ and then increased by $$20\%$$, the net change in the price of the book is


A
10% decrease
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B
5% decrease
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C
No change
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D
5% increase
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Solution

The correct option is A $$10\%$$ decrease
Let the original price of the book be Rs. $$100$$. 
Decreased price of the book $$=$$ Rs. $$75$$ 
Increased price of the book after $$20\%$$ increase
$$\displaystyle =\frac{120}{100}\times$$ Rs. $$75=$$ Rs. $$90$$
$$\displaystyle \therefore$$ Net change in price $$=$$ Rs. $$10$$ decrease 
$$\displaystyle \therefore$$ $$\%$$ change $$\displaystyle =\frac{10}{100}\times 100=10\%$$ decrease

Maths

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