A shopkeeper sells 25 articles at Rs., 45 per article after giving 10 % discount and earns 50 % prof

English

Gujarati

Hindi

7.Profit and Loss

hard

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

A

$60$

B

$60 \frac{2}{3}$

C

$66$

D

$66 \frac{2}{3}$

Solution

$S.P.$ $=Rs. 45 /$ each; $\quad$ profit $=50 \%$

$S.P.$ without discount $=45 \times \frac{100}{90}=Rs. 50$

$\therefore$ $C.P. =\frac{ S.P. }{1.5}=\frac{45}{1.5}=Rs. 30$

$\therefore$ Without discount profit $\%=\frac{ S.P. – C.P. }{ C.P. } \times 100$

$=\frac{50-30}{30} \times 100=\frac{2}{3} \times 100=66 \frac{2}{3} \%$

Standard 13

Quantitative Aptitude

Share

Similar Questions

A shopkeeper sold one$-$third of his goods at a loss of $15 \% .$ To get a profit of $10 \%$ on the whole transaction, he should sell the remaining articles at a profit of in $\%$

hard

A sells an article to $B$ for $Rs.\, 45,000$ losing $10 \%$ in the transaction. $B$ sells it to $C$ at a price which would have given a profit of $10 \%$ to $A$. By what per cent does $B$ gain?

medium

Suresh purchased a $TV$ set for $Rs.$ $11250 .$ He spent $Rs.\,800$ on installation and $Rs.$ $150$ on transportation. At what price should it be sold so that the profit earned would have been $15 \%$, if no discount was offered? (in $Rs.$)

easy

A merchant purchases a wrist watch for $Rs.\,450$ and fixes its list price in such a way that after allowing a discount of $10 \%,$ he earns a profit of $20 \%$. Then the list price (in rupees) of the wrist watch is

medium

A person purchased a saree for $Rs.\,7710$ after availing a net discount of $Rs.\,1285.$ The percentage of discount, the saree$-$shop offers, is

hard