Question

If the selling price of $20$ articles is the same as the cost price of $23$ articles, find the profit or loss percent in the transaction.

Answer 1

Let the C.P. of an article be Rs. $x$.

Then C.P. of $23$ articles $=$ Rs. $23x$ and C.P. of $20$ articles $=$ Rs. $20x$
S.P. of $20$ articles $=$ C.P. of $23$ articles $=$ Rs. $23x$

Since S.P. of $20$ articles $>$ C.P. of $20$ articles, hence there is a profit in the transaction.
Hence, profit on $20$ articles $=$ S.P. $-$ C.P. $=$ Rs. $(23x-20x)=$ Rs. $3x$
$\therefore$ Profit percent $=\frac{3x}{20x}\times 100=15\%$
$\therefore$ Required profit is $15\%$.