Multiple choice

Directions: In the question, two quantities are given, one as 'Quantity 1' and the other as 'Quantity 2'. You have to determine the relationship between the two quantities and choose the appropriate option. Quantity 1: Value of x, if a person marks his goods x% above the cost price and allows a discount of 20% on the marked price, and his profit is 7.5% Quantity 2: Value of y, if a person marks his good y% above the cost price and allows a discount of 220/13%, and his profit is 8%

  1. Quantity 1 < Quantity 2

  2. Quantity 1 > Quantity 2

  3. Quantity 2 ≥ Quantity 1

  4. Quantity 1 ≥ Quantity 2

  5. Quantity 1 = Quantity 2 or Relation cannot be established
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B Correct answer
AI explanation

Using the formula for net profit percentage when a markup is followed by a discount, we get (Markup Percentage - Discount Percentage) - (Markup Percentage times Discount Percentage) divided by 100 equals Net Profit Percentage. For Quantity 1, substituting the values gives (x - 20) - (20x divided by 100) equals 7.5, so 0.8x equals 27.5 and x equals 34.375. For Quantity 2, (y - 220 divided by 13) - (220y divided by 1300) equals 8, so (1080 divided by 1300) times y equals (324 divided by 13), yielding y equals 30. Therefore, Quantity 1 is greater than Quantity 2.

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