A shopkeeper fixes the marked price of an item at 150% above its cost price. What percentage of discount on the marked price should be allowed to gain 20%?
A shopkeeper fixes the marked price of an item at 150% above its cost price. What percentage of discount on the marked price should be allowed to gain 20%?
एक दुकानदार किसी वस्तु का अंकित मूल्य उसके क्रय मूल्य (Cost Price) से 150% अधिक रखता है। 20% लाभ प्राप्त करने के लिए उसे अंकित मूल्य पर कितने प्रतिशत छूट देनी चाहिए?
Detailed Solution & Logic
Correct Answer:
52%
Let Cost Price (CP) = 100
Marked Price (MP) = 150% above CP
So, MP = $100 + 150 = 250$
For 20% profit:
Selling Price (SP) = $100 + 20 = 120$
Now discount on MP:
Discount = $250 - 120 = 130$
Discount % = $\frac{130}{250} \times 100 = 52%$
Correct Answer: 52%
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