A trader marks his goods at 35% above the cost price. He sells 80% of the goods at the marked price and rest, he sells by allowing 35% discount on the marked price. His profit percent is:

Let the total cost price of total goods be Rs. 100.
The total marked price (MP) will be:

MP=100+35% of 100=135
Now, the goods are divided into two parts:

80% of the goods are sold at the marked price:

Revenue
1
​
=80% of 135=
100
80
​
×135=108
The remaining 20% of the goods are sold at a 35% discount on the marked price:

Selling Price of remaining portion per unit relative to MP=135×(1−
100
35
​
)=135×0.65=87.75
Revenue
2
​
=20% of 87.75=
100
20
​
×87.75=17.55
Total Selling Price (SP):

Total SP=Revenue
1
​
+Revenue
2
​
=108+17.55=125.55
Profit percentage:

Profit %=
Total CP
Total SP−Total CP
​
×100
Profit %=
100
125.55−100
​
×100=25.55%