A shopkeeper sold a pair of headphones for Rs. 5,520 at a gain of 20%. What would have been the gain or loss percent if it had been sold for Rs. 4,370?

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SSC CGL 2023 Tier-I Official Paper (Held On: 20 Jul 2023 Shift 1)
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  1. Gain 15%
  2. Loss 5%
  3. Gain 2%
  4. Loss 10%

Answer (Detailed Solution Below)

Option 2 : Loss 5%
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Detailed Solution

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Given:-  

 
A shopkeeper sold a pair of headphones for Rs. 5,520 at a gain of 20%.

Formula used:-

Gain percent= [(Selling Price−Cost Price) ​ ×100]/Cost price   

Loss percent= [(Cost Price - Selling Price) ​ ×100]/Cost price 


Calculation:-

 SP = CP + Gain 5520 

⇒ 5520 = CP + (20 × CP)/100 

⇒ (120/100 CP) =  5520 ​   
 
⇒ CP = 4600 

 Loss percent = [( 4600− 4370 )/4600] × 100 

⇒ ( 230/4600) × 100 = 5%  

∴ If the headphones were sold for Rs. 4,370, there would be a loss of 5%. 

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