Multiple choice

What price should a shopkeeper mark on an article by selling the article on Rs. 1200 he get 50% profit allowing discount of 20%? एक दुकानदार को 20 प्रतिशत छूट के बाद एक वस्तु को 1200 रू. में बचेने पर 50 प्रतिशत का लाभ होता है। तो अंकित मूल्य कितना होगा?

  1. 2000

  2. 2400

  3. 1500

  4. 1800

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

Selling price after 20% discount is Rs. 1200. This gives 50% profit on cost price. So 1200 = 1.5 × CP, giving CP = 1200/1.5 = Rs. 800. Marked price before 20% discount satisfies: 0.8 × MP = 1200. Therefore MP = 1200/0.8 = Rs. 1500. Verification: Cost = Rs. 800, Marked Price = Rs. 1500, Selling Price = 1500×0.8 = Rs. 1200, Profit = 1200-800 = Rs. 400 = 50% of 800.