A loss of 19 % gets converted into a profit of 17 % when selling price is increased by Rs.162. cost

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7.Profit and Loss

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A loss of $19 \%$ gets converted into a profit of $17 \%$ when the selling price is increased by $Rs.162.$ The cost price of the article is (in $Rs.$)

A

$450$

B

$600$

C

$360$

D

$540$

Solution

Let, the $C.P.$ of article be $₹ x$

Now, according to the question,

$\frac{117 x}{100}-\frac{81 x}{100}=162$

$\Rightarrow \frac{36 x}{100}=162$

$\Rightarrow x=\frac{162 \times 100}{36}=Rs. 450$

Standard 13

Quantitative Aptitude

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