A plate was sold for Rs.,6,300 after giving two successive discounts of 12^{1 / 2} % and 10 % . mark

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7.Profit and Loss

medium

A plate was sold for $Rs.\,6,300$ after giving two successive discounts of $12^{1 / 2} \%$ and $10 \% .$ Find the marked price. (in $Rs.$)

A

$7300$

B

$7700$

C

$8000$

D

$7250$

Solution

Let $M.P.$ $=10 x$

First Discount of $12.5 \%=\frac{12.5}{100} \times 100 x=12.5 x$

Amount after $1^{\text {st }}$ discount $=100 x-12.5 x=87.5 x$

Sound discount of $10 \%=\frac{10}{100} \times 87.5 x=8.75 x$

Amount after second discount $=87.5 x-8.75 x=78.75 x$

Now, $S.P.$ $=78.75 x=6300$

$x=80$

$M.P.$ $=80 \times 00=8000$

Standard 13

Quantitative Aptitude

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