Question

A shopkeeper sells 25 articles at Rs.45 per article after giving 10% discount and earns 50% profit. If the discount is not given, find the profit gained in percentage.

Answer 1

S.P. of 1 article = Rs.45 Let marked price of each article be Rs.x
Then $\frac{90}{100}x=45\Rightarrow x=RS.\left(\frac{45\times 100}{90}\right)=Rs.50$
C.P. = Rs.$(\frac{100}{150}\times 45)=Rs.30$
Now C.P. = Rs.30, S.P. = Rs.50
$\therefore$ REquired profit % = $(\frac{20}{30}\times 100)\%=66\frac{2}{3}\%$