A shopkeeper marks the price of a book 120% above its cost price. If he gives a discount of 10% on the marked price, then find his profit %. 

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  1. 65%
  2. 60%
  3. 98%
  4. 110%

Answer (Detailed Solution Below)

Option 3 : 98%
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Detailed Solution

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Given:

Cost Price (CP) = ₹100 (assuming for simplicity)

Marked Price (MP) = CP + 120% of CP

Discount = 10%

Formula used:

MP = CP + 1.2 × CP

SP = MP - 10% of MP

Profit % = (SP - CP) / CP × 100

Calculation:

MP = 100 + 1.2 × 100

⇒ MP = 100 + 120

⇒ MP = 220

SP = MP - 10% of MP

⇒ SP = 220 - 0.1 × 220

⇒ SP = 220 - 22

⇒ SP = 198

Profit % = (198 - 100) /100 × 100

⇒ Profit % = 98%

∴ The correct answer is option (3).

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