This question was previously asked in

DSSSB TGT Computer Science General Section - 1 Aug 2021

Option 3 : 45.45

**Given:**

The ratio of cost price and selling price of article = 11 : 16

**Concept:**

Profit percentage = {(Selling price - Cost price)/Cost price} × 100

**Calculation:**

Let the cost price and selling price of the article be 11x and 16x respectively

According to the question,

⇒ New cost price = 11x × (120/100) = 66x/5

⇒ New selling price = 16x × (120/100) = 96x/5

⇒ The profit percentage = {(96x/5 - 66x/5)/(66x/5)} × 100 = (30/66) × 100

⇒ (0.4545) × 100 = 45.45%

**∴ The required result will be 45.45%.**