A shopkeeper sold an article offering a discount of 5 % and earned a profit of 23.5 % . What would h

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7.Profit and Loss

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A shopkeeper sold an article offering a discount of $5 \%$ and earned a profit of $23.5 \% .$ What would have been the percentage of profit earned if no discount was offered?

A

$24.5$

B

$28.5$

C

$30$

D

Data inadequate

Solution

Given discount $=5 \%$ and profit $=23.5 \%$

Let the cost price of article be $Rs. 100.$

$\therefore$ Selling price of article $=Rs. 123.50$

Let the marked price of article be $x$

$\therefore \quad \frac{95}{100} x=123.50$

Or $x=\frac{123.50 \times 100}{95}$

$\therefore$ Without discount, $S.P.$ $=₹ 130,$ $C.P.$ $=Rs. 100$

Profit $\%=\frac{\text { S.P. }-\text { C.P. }}{\text { C.P. }} \times 100$

$=\frac{130-100}{100} \times 100=30 \%$

Standard 13

Quantitative Aptitude

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