A trader lists his articles 26% above the cost price and allows a discount of 15% on every article. What is his gain percentage?

Let the Cost Price (CP) of the article be ₹100.
The trader marks the price 26% above the CP. Therefore, the Marked Price (MP) is:

MP=100+26% of 100=₹126
He allows a discount of 15% on the Marked Price. Thus, the Selling Price (SP) is:

SP=MP−15% of MP
SP=126×(1−
100
15
​
)=126×
100
85
​
=126×0.85=₹107.1
Now, calculate the gain percentage:

Gain=SP−CP=107.1−100=₹7.1
Gain Percentage=(
CP
Gain
​
)×100=(
100
7.1
​
)×100=7.1%
Alternative Method (Using Successive Percentages):
Net percentage change =a+b+
100
ab
​

Here, markup percentage a=+26% and discount percentage b=−15%.

Net Gain %=26−15+
100
26×(−15)
​

Net Gain %=11−
100
390
​
=11−3.9=7.1%