Shadhon made 5% profit by selling a skirt at a 20% discount of the marked price BDT 3675. What is the markup percentage?

Question: Shadhon made 5% profit by selling a skirt at a 20% discount of the marked price BDT 3675. What is the markup percentage?

Solution:
Marked price = Tk. 3675
Discount = 20%

∴ Selling price = 3675 - 3675 of 20%
= 3675 - (3675 × 20)/100
= 3675 - 735
= Tk. 2940

Now, 5% profit then,
Selling price = Cost price of 105%

Let, Cost price = x

ATQ,
105x/100 = 2940
⇒ 105x = 2940 × 100
⇒ x = (2940 × 100)/105
∴ x = 2800

∴ Cost price = Tk. 2800

∴ Markup = Marked price - Cost price
= 3675 - 2800
= Tk. 875

∴ Markup percentage = (Markup/Cost price) × 100
= (875/2800) × 100
= 31.25%

Correct answer: খ) 31.25%