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- Quantitative Aptitude
7.Profit and Loss
hard
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
