A seller marks his goods 20 percent higher than cost price and allows a discount of 5 percent. The percentage profit is :

Correct option is D

Given:
A seller marks his goods 20 percent higher than cost price and allows a discount of 5 percent.
Formula Used:
Profit = Selling price - Cost price

Profit% = $$\frac{\text{Profit}}{\text{Cost price}}\times 100$$

Solution:
Let the cost price 100.​​

Marked price = $$100 + 100 \times \frac{20}{100}$$ = 100 + 20 = 120

Selling price = 120 - $$120 \times \frac{5}{100}$$ = 120 - 6 = 114

Profit = 114 - 100 = 14

Profit% = $$\frac{14}{100}\times100$$ ​​= 14%

So, the percentage profit is 14%.
Thus, the correct answer is (d).

Alternative Method:

Profit = 114 - 100 = 14

Profit% = $$\frac{14}{100}\times100 = 14\%$$​​