Question:
If the cost price of 12 pens is equal to the selling price of 16 pens, find the loss per cent.
Solution:
Let the $\mathrm{CP}$ of each pen be Rs $x$.
CP of 16 pens $=$ Rs $16 x$
SP of 16 pens $=$ CP of 12 pens $=$ Rs $12 x$
i.e., $\mathrm{CP}>\mathrm{SP}$
Now, loss $=\mathrm{CP}-\mathrm{SP}$
$=(16 x-12 x)$
$=R s .4 x$
$\therefore$ Loss percentage $=\frac{\text { loss }}{\mathrm{CP}} \times 100$
$=\frac{4 x}{16 x} \times 100$
$=25 \%$