Multiple choice

Each question below contains Quantity I and Quantity II. Find both to find the relationship among them. Mark your answer accordingly. $Quantity I: Cost Price of an article if it is sold making a loss of 10% given that if the cost price was 20% less, a profit of Rs 12 could be made. Quantity II: Labeled Price of an article if a discount of 30% is given on it and sold at a loss of 20% if CP is Rs 105$

  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
E Correct answer
Explanation

Quantity I: Let CP = x. Selling at 10% loss means SP = 0.9x. If CP was 20% less (0.8x), profit would be Rs 12, so SP = 0.8x + 12. Equating: 0.9x = 0.8x + 12, so x = 120. Quantity II: CP = 105, sold at 20% loss means SP = 84. This is 70% of labeled price (after 30% discount), so LP = 84/0.7 = 120. Both quantities equal Rs 120, so they are equal.

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