Multiple choice

A man sells an article at a profit of 25%. If he had bought it at 20% loss and sold it for Rs. 1050 less, he would have gained 30%. Find the cost price of the article.

  1. Rs. 10000

  2. Rs. 5000

  3. Rs. 12000

  4. Rs. 10500

  5. None of these

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

Let CP = x. SP at 25% profit = 1.25x. New CP = 0.8x (20% loss), new SP = 1.25x - 1050, which gives 30% profit on 0.8x. So 1.25x - 1050 = 1.3 × 0.8x = 1.04x. Therefore 0.21x = 1050, x = 1050/0.21 = 5000. Cost price is Rs. 5000.