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
B
5% decrease
C
No change
D
5% increase

Solution

## The correct option is A $$10\%$$ decreaseLet 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 $$\displaystyle =\frac{10}{100}\times 100=10\%$$ decreaseMaths

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