A shopkeeper sells an article at \(13{{1} \over 2}\)% loss. If he sells it for ₹1,274 more, then he gains 11%. What is the cost price of the article?

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SSC CGL 2022 Tier-I Official Paper (Held On : 07 Dec 2022 Shift 2)
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  1. Rs. 4,874
  2. Rs. 4,800
  3. Rs. 5,200
  4. Rs. 5,274

Answer (Detailed Solution Below)

Option 3 : Rs. 5,200
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Detailed Solution

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Given:

Shopkeeper sells an article at a loss of 13.5%

If he sells it for Rs. 1274 more, there will be profit of 11%

Formula used:

CP = \(\frac{Amount } {Loss + Profit} \times 100\)

Calculation:

According to the formula, 

⇒ CP = \(\frac{1274 } {13.5 +11}\times 100\)

⇒ CP = 52 × 100 = Rs. 5200

⇒ Hence, The cost price of an article is Rs. 5200 

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