A trader marks his goods at 20%

A trader marks his goods at 20% higher than the cost price. Further, he uses a weighing balance which shows 1200 grams for a kilogram. What is his profit percentage?
एक व्यापारी अपनी वस्तुओं पर क्रय मूल्य से 20% अधिक मूल्य अंकित करता है। इसके अलावा, वह एक ऐसे वजन करने वाले तुला का उपयोग करता है जो एक किलोग्राम के लिए 1200 ग्राम दिखता है। उसका लाभ प्रतिशत क्या है?

50% 66% 55% 44%

Detailed Solution & Logic

Correct Answer:

44%

Let Cost Price (CP) of 1 kg = ₹100
Marked Price 20% higher:
MP = 100 + 20% = ₹120
Weight trick:
Balance shows 1200 g for 1 kg,
so customer actually gets 1000 g = $ \frac{5}{6} $ kg
Cost of actual goods given:
$ CP = \frac{5}{6} \times 100 = ₹83.33 $
Selling Price:
$ SP = ₹120 $
Profit:
$ = 120 - 83.33 = ₹36.67 $
Profit %:
$ = \frac{36.67}{83.33} \times 100 = 44% $
Answer = 44%

A trader marks his goods at 20%

Detailed Solution & Logic

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