A dealer marks his goods 30 % above his cost price and then allows 15 % discount on it. cost price o

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7.Profit and Loss

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A dealer marks his goods $30 \%$ above his cost price and then allows $15 \%$ discount on it. What is the cost price of an article on which he gains $Rs.\,84?$

A

$800$

B

$560$

C

$373.33$

D

$280$

Solution

Let, $C.P.$ be $₹100$

Marked price $=100 \times \frac{30}{100}+100=₹ 130$

Price after $15 \%$ discount $=130-\frac{130 \times 15}{100}$ $=130-19.5=₹ 110.5$

$\therefore$ profit $=₹ 10.5$

$\because ₹ 10.5$ profit, then $C.P. =₹ 100$

$\therefore$ ₹84 profit, then $C.P. =\frac{84}{10.5} \times 100=Rs. 800$

Standard 13

Quantitative Aptitude

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