Multiple choice

Directions: Each question below contains a statement followed by Quantity I and Quantity II. Find both to find the relationship among them. Mark your answer accordingly. The price of item X is marked at Rs 10,000. After giving a discount of 4%, a gain of 20% is achieved. Quantity I: Cost Price of an article if it is sold making a loss of 10% given that if the cost price was 20% less, a profit of Rs 12 could be made. Quantity II: Labeled Price of an article if a discount of 30% is given on it and then sold for Rs 105 at a loss of 20%

  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
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

For Quantity I: Let CP = x. If CP was 20% less, new CP = 0.8x. Profit = Rs 12 means SP - 0.8x = 12, so SP = 0.8x + 12. At 10% loss, SP = 0.9x. Equating: 0.9x = 0.8x + 12, giving x = 120. So CP = 120. Quantity I asks for CP when sold at 10% loss = 120. For Quantity II: Selling at 20% loss means SP = 0.8 × LP. SP is given as Rs 105, so 0.8 × LP = 105, giving LP = 105/0.8 = 131.25. Since 131.25 > 120, Quantity II > Quantity I.

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