A mobile is sold for $15825 at a loss of 25% What would have been the actual profit or loss percent on it, if it had been sold for $25320? 

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  1. 26% loss
  2. 22% loss
  3. 20% profit 
  4. 24% profit

Answer (Detailed Solution Below)

Option 3 : 20% profit 
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यूपी पुलिस SI (दरोगा) सामान्य हिंदी मॉक टेस्ट
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Detailed Solution

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Given:

A mobile is sold for $15,825 at a loss of 25%.

New selling price = $25,320

Formula used:

Cost Price (CP) = Selling Price (SP) / (1 - Loss%)

Profit or Loss % = [(New SP - CP) / CP] × 100

Calculation:

CP = 15825 / (1 - 0.25)

⇒ CP = 15825 / 0.75 = 21100

Profit or Loss % = [(25320 - 21100) / 21100] × 100

⇒ Profit or Loss % = [4220 / 21100] × 100

⇒ Profit or Loss % = 0.2 × 100

⇒ Profit or Loss % = 20% profit

∴ The correct answer is option (3).

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