Question:
A trader marks his goods at 30% above cost price and allows a discount of 10%. What is his gain per cent?
Solution:
Let the CP be Rs 100 .
Then, marked price $=$ Rs 130
Discount $=10 \%$ of MP
$=(10 \%$ of Rs. 130$)$
$=$ Rs. $\left(130 \times \frac{10}{100}\right)$
$=$ Rs. 13
Now, SP $=(\mathrm{MP})-($ discount $)$
$\quad=$ Rs. $(130-13)$
$\quad=$ Rs. 117
$\therefore$ Gain percentage $=(117-100) \%$
= 17%
$\therefore$ The gain percentage of the trader is $17 \%$.