A shopkeeper allows a discount of 10 % on marked price of an item but charges a sales tax of 8 % on

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7.Profit and Loss

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A shopkeeper allows a discount of $10 \%$ on the marked price of an item but charges a sales tax of $8 \%$ on the discounted price. If the customer pays $Rs.\, 3,402$ as the price including the sales tax, then the marked price is (in $Rs.$)

A

$3400$

B

$3500$

C

$3600$

D

$3800$

Solution

$MP.$ $=100 x$

$D \%=10 \%(100 x)=10 x$

$\therefore S.P. =90 x$

Sales tax on discounted price $=8 \%(90 x)=7.2 x$

Now, total $S.P.$ $=90 x+7.2 x=97.2 x$

If $97.2 x=3402$

$x=35$

$\therefore MP.=100 \times 35=3500$

Standard 13

Quantitative Aptitude

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