At what price should a shopkeeper mark a radio that costs him Rs.,1200 in order that he may offer a

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7.Profit and Loss

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At what price should a shopkeeper mark a radio that costs him $Rs.\,1200$ in order that he may offer a discount of $20 \%$ on the marked price and still make a profit of $25 \% ? \quad$

A

$1675$

B

$1875$

C

$1900$

D

$2025$

Solution

Let the marked price of radio be ₹ $x$.

$C.P.$ $=Rs. 1200 ; \quad$ $S.P.$ $=0.8 \times x ; \quad \%$ profit $=25 \%$

$\therefore \quad \%$ profit $=\frac{\text { S.P. }-\text { C.P. }}{\text { C.P. }} \times 100$

i.e. $\frac{0.8 x-1200}{1200} \times 100=25$

i.e. $\frac{0.8 x}{1200}=\frac{25}{100}+1$

i.e. $\frac{0.8 x}{1200}=\frac{125}{100}$

or $x=\frac{125 \times 1200}{100 \times 0.8}=125 \times 15=Rs. 1875$

Standard 13

Quantitative Aptitude

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