A shopkeeper allows his customers 10% off on the marked price of goods and still gets a profit of 25%.
Question:
A shopkeeper allows his customers 10% off on the marked price of goods and still gets a profit of 25%. What is the actual cost to him of an article marked Rs 250?
Solution:
Let the CP of the article be Rs. $x$.
MP of the article $=$ Rs. 250
Discount $=10 \%$
Discount $=10 \%$ of 250
$=0.10 \times 250$
$=$ Rs. 25
SP $=$ MP $-$ Discount
$=250-25$
$=$ Rs. 225
Given,
Profit $=25 \%$
$\mathrm{CP}=\left[\frac{100}{(100+\text { Gain } \%)} \times \mathrm{SP}\right]$
$x=\left[\frac{100}{(100+25)} \times 225\right]$
$=\left[\frac{100}{125} \times 225\right]$
$=R s .180$
Thus, the CP of the article is Rs. 180 .