Question

Find the profit per cent or loss per cent made in each of the following cases, when the S.P. of 20 identical articles is equal to the C.P. of 15 articles.

• A. Profit $=12\%$
• B. Profit $=30\%$
• C. Loss $=30\%$
• D. Loss $=25\%$

Answer 1

The correct option is D Loss $=25\%$

Let Cost price of $1$ article $=Rsx$
=> And Cost price of $20$ articles $=Rs20x$

Given, Selling price of $20$ articles $=$ Cost price of $15$ articles $=Rs15x$

Since, $S.P.<C.P.$, there is a loss.
Now, Loss % $=\frac{C.P.-S.P.}{C.P.}\times 100=\frac{20x-15x}{20x}\times 100=\frac{5}{20}\times 100=25$ %