एक डीलर ₹63,000 प्रति ड्रायर की दर से दो ड्रायर बेचता है। एक पर उसे 5% का लाभ होता है और दूसरे पर उसे 30% की हानि होती है। पूरे लेन-देन में उसका हानि प्रतिशत कितना है?

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  1. 16%
  2. 15%
  3. 17%
  4. 14%

Answer (Detailed Solution Below)

Option 1 : 16%
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दिया गया है:

प्रत्येक ड्रायर का विक्रय मूल्य = ₹63,000

एक ड्रायर पर लाभ = 5%

दूसरे ड्रायर पर हानि = 30%

प्रयुक्त सूत्र:

क्रय मूल्य (CP) = \(\frac{SP \times 100}{100 ± \text{Profit or Loss %}}\)

कुल हानि % = \(\frac{\text{Total Loss}}{\text{Total CP}} \times 100\)

गणना:

पहले ड्रायर का CP (5% लाभ) = \(\frac{63000 \times 100}{105} = 60000\)

दूसरे ड्रायर का CP (30% हानि) = \(\frac{63000 \times 100}{70} = 90000\)

कुल CP = 60000 + 90000 = ₹1,50,000

कुल SP = 63000 + 63000 = ₹1,26,000

कुल हानि = 150000 - 126000 = ₹24,000

⇒ हानि % = \(\frac{24000}{150000} \times 100 = 16\)%

∴ सही उत्तर \(16\%\) हानि है।

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