Tarun bought a TV with 20 % discount on labelled price. Had he bought it with 25 % discount, he woul

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7.Profit and Loss

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Tarun bought a $TV$ with $20 \%$ discount on the labelled price. Had he bought it with $25 \%$ discount, he would have saved $Rs.\,500.$ At what price did he buy the $TV?$

A

$7500$

B

$8500$

C

$8000$

D

$7400$

Solution

Let, the marked price of $TV$ be $₹ x$

Now, according to the question,

$\frac{4 x}{5}-\frac{3 x}{4}=500$

$\Rightarrow \frac{16 x-15 x}{20}=500 \Rightarrow \frac{x}{20}=500$

$\Rightarrow \quad x=10000$

$\therefore \quad$ Required cost price $=₹\left(\frac{10000 \times 80}{100}\right)$

$=Rs.8000$

Standard 13

Quantitative Aptitude

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