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Q12 (CAPF/2024) Economy › Basic Concepts & National Income › Percentages and profit-loss

A shopkeeper sells two items, A and B. Item B's cost price is twice as that of item A. The shopkeeper sells item A at 10% profit and item B at 20% profit. Which one of the following is the value of net profit?

Result
Your answer: —  Â·  Correct: D
Explanation

To find the net profit percentage, we use the weighted average of the individual profits based on their cost prices. Let the cost price (CP) of item A be x. According to the problem, the CP of item B is 2x. The profit on item A is 10% of x (0.1x), and the profit on item B is 20% of 2x (0.4x). The total profit earned is the sum of these individual profits: 0.1x + 0.4x = 0.5x. The total cost price for both items is x + 2x = 3x. Net profit percentage is calculated as (Total Profit / Total CP) × 100. Substituting the values: (0.5x / 3x) × 100 = (1/6) × 100, which equals 16.66%. This method aligns with standard profit margin calculations where total revenue and total costs determine the final percentage.

Sources

  1. [1] Microeconomics (NCERT class XII 2025 ed.) > Chapter 4: The Theory of the Firm under Perfect Competition > 4.3.3 Condition 3 > p. 58
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