At what price should a shopkeeper mark a radi | vedclass

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Question

Let the marked price of radio be ₹ $x$.

$C.P.$ $=Rs. 1200 ; \quad$ $S.P.$ $=0.8 	imes x ; \quad \%$ profit $=25 \%$

$	herefore \quad \%$ profi

Vedclass · Accepted Answer

$1875$

Vedclass · Answer

Let the marked price of radio be ₹ $x$.

$C.P.$ $=Rs. 1200 ; \quad$ $S.P.$ $=0.8 	imes x ; \quad \%$ profit $=25 \%$

$	herefore \quad \%$ profit $=\frac{	ext { S.P. }-	ext { C.P. }}{	ext { C.P. }} 	imes 100$

i.e. $\frac{0.8 x-1200}{1200} 	imes 100=25$

i.e. $\frac{0.8 x}{1200}=\frac{25}{100}+1$

i.e. $\frac{0.8 x}{1200}=\frac{125}{100}$

or $x=\frac{125 	imes 1200}{100 	imes 0.8}=125 	imes 15=Rs. 1875$

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 $25 \% ? \quad$

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