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Maths

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A Person sells an item at a discount of 40% and still makes a profit of 20%. By what percentage was the marked price of the item more than the cost price of the item?

1. 50%
2. 100%
3. 150%
4. 120%

एक व्यक्ति एक वस्तु को 40% की छूट पर बेचता है और फिर भी 20% का लाभ कमाता है। वस्तु का अंकित मूल्य वस्तु के लागत मूल्य से कितने प्रतिशत अधिक था?

1. 50%
2. 100%
3. 150%
4. 120%

This Question came in

UGC-NET-Philosophy-08-December-2023-Shift-2-Q16

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Detailed Explanation & Answer

Let's denote:

Cost price= 100 (assuming for simplicity)
Selling price = 120 (since the person sells at a profit of 20%)
Marked Price = MP
Discount on Marked Price = 40%

Now, if the person sells at a discount of 40%, then the selling price is 60% of the marked price.

MP x 60 / 100 = 120
MP = 200

If CP is 100 and MP is 200, it means MP is double or 100% of CP

आइए निरूपित करें:

लागत मूल्य = 100 (सरलता के लिए मानते हुए)
विक्रय मूल्य = 120 (क्योंकि व्यक्ति 20% के लाभ पर बेचता है)
अंकित मूल्य = एमपी
अंकित मूल्य पर छूट = 40%

अब, यदि व्यक्ति 40% की छूट पर बेचता है, तो विक्रय मूल्य अंकित मूल्य का 60% है।

एमपी x 60/100 = 120
एमपी = 200

यदि सीपी 100 है और एमपी 200 है, तो इसका मतलब है कि एमपी सीपी का दोगुना या 100% है

The Correct Answer is 2

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