A shopkeeper allows a discount of 10% on the marked price of a camera. If the cost price of the camera is ₹ 3,600, find the marked price so that shopkeeper can earn profit of 20%, after allowing 10% discount.

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  1. ₹5,700
  2. ₹3,650
  3. 4,750
  4. ₹4,800

Answer (Detailed Solution Below)

Option 4 : ₹4,800
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Detailed Solution

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Given:

Cost Price (CP) = ₹3,600

Profit (Profit%) = 20%

Discount (Discount%) = 10%

Formula used:

Marked Price (MP) = (CP × (1 + Profit%/100)) / (1 - Discount%/100)

Calculations:

MP = (3600 × (1 + 20/100)) / (1 - 10/100)

⇒ MP = (3600 × 1.2) / 0.9

⇒ MP = 4320 / 0.9

⇒ MP = 4800

∴ The correct answer is option 4.

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