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Q65 (CAPF/2026) Economy › Basic Concepts & National Income

A shopkeeper marked a price on an article so that he gets 50% profit. After 2 months, the sale of the article reduced. So, he decided to sell the same article with a profit of 20%. What percentage of discount does he announce to get only 20% profit?

Result
Your answer: —  ·  Correct: D

Explanation

To determine the discount percentage, we can follow these logical steps:

  • Let the Cost Price (CP) of the article be 100 units.
  • The shopkeeper initially marked the price to ensure a 50% profit. Therefore, the Marked Price (MP) = 100 + 50% of 100 = 150 units.
  • Due to reduced sales, he decided to sell the article with a 20% profit. Thus, the new Selling Price (SP) = 100 + 20% of 100 = 120 units.
  • The Discount Amount is the reduction from the Marked Price to the Selling Price:
    Discount = MP - SP = 150 - 120 = 30 units.
  • The Discount Percentage is always calculated on the Marked Price:
    Discount % = (Discount / MP) × 100
    Discount % = (30 / 150) × 100 = (1 / 5) × 100 = 20%.

Therefore, the shopkeeper must announce a 20% discount to achieve a 20% profit.

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