एक दुकानदार ने एक वस्तु को 20% छूट पर बेचा और 40% लाभ अर्जित किया। यदि उसने उस वस्तु को 10% छूट पर बेचा, तो लाभ ज्ञात कीजिए।

  1. 57%
  2. 58.50%
  3. 57.50%
  4. 58%

Answer (Detailed Solution Below)

Option 3 : 57.50%
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Detailed Solution

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हम जानते हैं कि

\(\frac{{MP}}{{CP}} = \frac{{100\; + \;Profit}}{{100\; - \;discount}}\)

\(\Rightarrow \;\frac{{MP}}{{CP}} = \frac{{140}}{{80}}{\rm{}} = \frac{{140x}}{{80x}}\)

स्थिति 2

यदि वस्तु को 10% छूट पर बेचा गया तो

विक्रय मूल्य = 140x – 140x का 10% = 126x

लाभ = विक्रय मूल्य – क्रय मूल्य = 126x – 80x = 46x

∴ लाभ % = (\(\frac{{46x}}{{80x}}\)) × 100 = 57.50%

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