Multiple choice

The marked price of an article is 35% above the cost price. 20% discount given on article and then sold. If the marked price of the article is 60% above the cost price and article was sold at 25% discount then the difference between both the selling prices is 2040. Find the first marked price of the article.

  1. 22550

  2. 22950

  3. 22650

  4. 22750

  5. None of these

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

Let CP = c. First case: MP = 1.35c, SP after 20% discount = 1.35c × 0.8 = 1.08c. Second case: MP = 1.60c, SP after 25% discount = 1.60c × 0.75 = 1.20c. Difference in SP = 1.20c - 1.08c = 0.12c = 2040. So c = 2040/0.12 = 17000. First MP = 1.35 × 17000 = 22950. Common mistake: mixing up which MP to find.