Multiple choice

In the following questions, two quantities are given as Quantity I and Quantity II. Find the correct relationship. Quantity I: The shopkeeper sold an article at 10% discount on the marked price and he gains 20%. If the marked price of the article is Rs. 400, then the cost price is? Quantity II: The shopkeeper marks the price of the book Rs. 350 and his profit % is 15%. Find the cost price of the book, if he allows a discount of 8%?

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity II > Quantity I

  4. Quantity II ≥ Quantity I

  5. Quantity I = Quantity II or Relation cannot be established
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A Correct answer
Explanation

Quantity I: MP = 400, 10% discount → SP = 360. 20% profit means CP = 360/1.2 = 300. Quantity II: MP = 350, 8% discount → SP = 322. 15% profit means CP = 322/1.15 ≈ 280. Since 300 > 280, Quantity I > Quantity II.

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