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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 marks the price of his product 20% above its cost price and sells it at a discount of 10%. If he earns a profit of Rs. 120, what is the cost price of the product? Quantity B: A product is successively sold twice earning a profit of 10% and 20% respectively. If the original cost price of the product is Rs. 1050, what is the final selling price of the product?

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 marks the price of his product 20% above its cost price and sells it at a discount of 10%. If he earns a profit of Rs. 120, what is the cost price of the product? Quantity B: A product is successively sold twice earning a profit of 10% and 20% respectively. If the original cost price of the product is Rs. 1050, what is the final selling price of the product? Correct Answer Quantity A > Quantity B

Solving for Quantity A:

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

Marked price = (100 + 20)% of x = 1.2x

Discount = 10% of 1.2x = 1/10 × 1.2x = 0.12x

Selling price = 1.2x – 0.12x = Rs. 1.08x

⇒ Profit earned = 1.08x – x = 0.08x

⇒ 0.08x = 120

⇒ x = 120/0.08 = Rs. 1500

⇒ Quantity A = 1500

Solving for Quantity B:

Initial cost price of product = Rs. 1050

Final selling price of product = (100 + 20)% of (100 + 10)% of 1050 = 1.2 × 1.1 × 1050 = Rs. 1386

⇒ Quantity B = 1386

∴ Quantity A > Quantity B

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