In a stock clearance sale, a shopkeeper gives 40% off on all his items. He incurs a loss of 25% by selling an item of marked price Rs. 2,000/-, which one of the following is the cost price of the item?

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  1. Rs. 1,800/-
  2. Rs. 1,200/-
  3. Rs. 1,600/-
  4. Rs. 1,400/-

Answer (Detailed Solution Below)

Option 3 : Rs. 1,600/-
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Detailed Solution

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Given:

Marked Price (MP) = ₹2,000

Discount = 40%

Loss = 25%

Formula used:

Selling Price (SP) = MP - Discount

Cost Price (CP) = SP / (1 - Loss%)

Calculation:

SP = 2000 - (40/100) × 2000

⇒ SP = 2000 - 800

⇒ SP = 1200

CP = 1200 / (1 - 0.25)

⇒ CP = 1200 / 0.75

⇒ CP = 1600

∴ The correct answer is option 3.

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