Question

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Answer 1

Answer

Let cost of book be x

If price is increased by 20%

$x \times \frac{20}{100} \\ = x \times \frac{1}{5} \\ = \frac{x}{5} \\ new \: price \: of \: book \\ x + \frac{x}{5} \\ = \frac{5x + x}{5} \\ = \frac{6x}{5}$

But price reduced by 20%

$\frac{6x}{5} \times \frac{20}{100} \\ = \frac{6x}{5} \times \frac{1}{5} \\ = \frac{6x}{25} \\ the \: new \: price \: becomes \\ \frac{6x}{5} + \frac{6x}{25} = \frac{36x}{25}$

Compare to original price & new price

$x < \frac{36}{25}$

He gains profit

$profit \: = selling \: price - cost \: price \\ = \frac{36x}{25} - x \\ = \frac{36x - 25x}{25} \\ = \frac{11x}{25}$

$profit \: percentage = \frac{11x}{25} \times 100 \\ = 44\%$

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Answer 2

Answer:

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