Question

Ajay bought $100$ pencils for $Rs.250$. He was not very good at calculations and made a mistake in fixing his selling price. When he sold his pencils, he incurred a total loss equal to the selling price of $25$ pencils. Find his loss per cent.

Answer 1

C.P of $100$ pieces $=250$

Let x be S.P of each pencil

loss $=250-100\times x$

Given loss $=25$ S.P. $=25$x

$25x=250-100x$

$125x=250$

$x=\frac{250}{125}=2$Rs.

For $100$ pencils $=100x=200$

Loss $\%=\frac{250-200}{250}\times 100\frac{{\text{/}50}^1}{{\text{/}250}_5}\times 100=20\%$.