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Cost price and selling price of an article are in ratio of 11 : 16. If cost price is increased by 20 percent and selling price is increased by 20 percent, then what is the new profit percentage?

Cost price and selling price of an article are in ratio of 11 : 16. If cost price is increased by 20 percent and selling price is increased by 20 percent, then what is the new profit percentage? Correct Answer 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%.

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