एक व्यापारी ₹63,000 प्रति ड्रायर दराने दोन ड्रायर विकतो. एकावर त्याला 5% नफा होतो आणि दुसऱ्यावर त्याला 30% तोटा होतो. संपूर्ण व्यवहारात त्याला किती टक्के तोटा झाला?

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

Answer (Detailed Solution Below)

Option 1 : 16%
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दिलेले:

प्रत्येक ड्रायरची विक्री किंमत = ₹63,000

एका ड्रायरवरील नफा = 5%

दुसऱ्या ड्रायरवरील तोटा = 30%

वापरलेले सूत्र:

खरेदी किंमत (CP) = \(\frac{SP \times 100}{100 ± \text{नफा किंवा तोटा %}}\)

एकूण तोटा % = \(\frac{\text{एकूण तोटा}}{\text{एकूण CP}} \times 100\)

गणना:

पहिल्या ड्रायरची CP (5% नफा) = \(\frac{63000 \times 100}{105} = 60000\)

दुसऱ्या ड्रायरची CP (30% तोटा) = \(\frac{63000 \times 100}{70} = 90000\)

एकूण CP = 60000 + 90000 = ₹1,50,000

एकूण SP = 63000 + 63000 = ₹1,26,000

एकूण तोटा = 150000 - 126000 = ₹24,000

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

∴ योग्य उत्तर \(16\%\) तोटा आहे.

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