An article is marked for sale at Rs. 504 . shopkeeper gives a discount of 5 % on sale price and stil

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7.Profit and Loss

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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

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