Question

In the cost price of 12 pens is equal to the selling price of 16 pens, find the loss per cent.

Answer 1

Let the C.P. of $1$ pen $=$Re. $1$

$\therefore$ C.P of $12$ pens$=$Rs. $12\times 1$

$=$Rs. $12$

Hence, given

C.P. of $12$ pens $=$ S.P of $16$ pens

$\therefore$ S.P of $16$ pens$=$Rs. $12$

$\therefore$ C.P of $16$ pens$=$Rs. $16$

$\therefore$ Loss$=C.P-S.P$

$=16-12$

$=4$ Rs.

Loss $\%=\frac{Loss}{C.P}\times 100$

$=\frac{4}{16}\times 100$

$=25\%$.