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7.Profit and Loss
medium
An article is marked for sale at $Rs.$ $504 .$ The shopkeeper gives a discount of $5 \%$ on the sale price and still earns a profit of $20 \% .$ What could be the purchase price of the article? (in $Rs.$)
A
$399$
B
$405$
C
$403$
D
$400$
Solution
Let the original price of article be $Rs.$ $100$
After $5 \%$ discount, its $S P=Rs$ $[100-5$ $\%$ of $100]$$=$$ Rs. 95$
$=$ For original price $=$ Rs. $100, S P=$ $Rs. 95$
Hence, for original price $=$ $Rs.$ $504$ (given)
$=S P=\frac{95}{100} \times 504=$ $Rs.$ $478.80$
Given, Profit$\%$ $=20 \%$
$\frac{20}{100}=\frac{478.8- CP }{ CP } \Rightarrow CP = Rs .399$
Standard 13
Quantitative Aptitude
