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In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for the both quantities and choose the correct option. Quantity A: A shopkeeper earns a profit of 24%, if he sells a product for Rs. 186. What will be his profit percentage, if he sells the product for Rs. 180? Quantity B: A shopkeeper marks the price of a product 50% above its cost price and sells it at a discount of 20%. What is his profit percentage?

In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for the both quantities and choose the correct option. Quantity A: A shopkeeper earns a profit of 24%, if he sells a product for Rs. 186. What will be his profit percentage, if he sells the product for Rs. 180? Quantity B: A shopkeeper marks the price of a product 50% above its cost price and sells it at a discount of 20%. What is his profit percentage? Correct Answer Quantity A = Quantity B

Solving for Quantity A:

Let the cost price of the product be Rs. ‘x’

∵ Cost price + Profit = Selling price

⇒ x + 24% of x = 186

⇒ 1.24x = 186

⇒ x = 186/1.24 = Rs. 150

When the selling price = Rs. 180,

⇒ Profit earned = 180 – 150 = Rs. 30

⇒ Profit percentage = 30/150 × 100 = 20%

⇒ Quantity A = 20%

Solving for Quantity B:

Let the cost price of the product be Rs. ‘x’

⇒ Marked price = x + 50% of x = 1.5x

⇒ Discount = 1.5x – 20% of 1.5x = 1.5x – 0.3x = 1.2x

⇒ Selling price = Marked price – Discount = 1.5x – 0.3x = 1.2x

⇒ Profit earned = 1.2x – x = 0.2x

⇒ Profit percentage = 0.2x/x × 100 = 20%

⇒ Quantity B = 20%

∴ Quantity A = Quantity B

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