A shopkeeper bought an item for ₹400. He sold it at a profit of 25%. Then, the buyer sold it to another person at a loss of 10%. What is the final selling price?

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  1. ₹450
  2. ₹500
  3. ₹360
  4. ₹405

Answer (Detailed Solution Below)

Option 1 : ₹450
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Detailed Solution

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Given:

Cost Price (CP) = ₹400

Profit Percentage = 25%

Loss Percentage = 10%

Formula used:

Selling Price (SP) after profit = CP × (1 + Profit Percentage/100)

Selling Price (SP) after loss = CP × (1 - Loss Percentage/100)

Calculations:

SP after profit = 400 × (1 + 25/100)

⇒ SP after profit = 400 × 1.25

⇒ SP after profit = 500

SP after loss = 500 × (1 - 10/100)

⇒ SP after loss = 500 × 0.90

⇒ SP after loss = 450

∴ The correct answer is option (1).

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