A shopkeeper allows his customers 8% off on the marked price of goods and still gets a profit of 19.6%. What is the actual cost of an article marked ₹5,200?

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  1. ₹4,000
  2. ₹4,350
  3. ₹4,150
  4. ₹4,500

Answer (Detailed Solution Below)

Option 1 : ₹4,000
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Detailed Solution

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Given:

Marked price (MP) = ₹5,200

Discount = 8%

Profit = 19.6%

Formula used:

Selling Price (SP) = MP - Discount

Cost Price (CP) = SP / (1 + Profit%)

Calculation:

SP = 5200 - (8/100) x 5200

⇒ SP = 5200 - 416

⇒ SP = 4784

CP = 4784 / (1 + 19.6/100)

⇒ CP = 4784 / 1.196

⇒ CP = 4000

∴ The correct answer is option 1.

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