After sales tax, a book costs $$ 25.20$ . If sales tax is $5 %$ , how much does the book cost before taxes?

$ 23.50

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$ 23.94

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$ 24.00

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$ 24. 23

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$ 26.46

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Solution

The correct option is B $$ 24.00$
Total cost of the book $=$ 25.20 $W h i c h i s c o s t o f t h e b o o k b e f o r e t a x e s$ + $S a l e s t a x$ = $25.20$
Letcost of the book before taxes $= b$
$\Rightarrow b + 5$ $%$ of $b = 25.20$
$\Rightarrow b + \frac{5 b}{100} = 25.20$
$\Rightarrow 1.05 b = 25.20$
$\Rightarrow b =$ 24 $

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