Suji marked a dress 50% above the cost price. If she offers a discount of 30% on the marked price and the customer pays ₹5,250, the cost price is:

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  1. ₹5,500
  2. ₹6,075
  3. ₹5,000
  4. ₹7,500

Answer (Detailed Solution Below)

Option 3 : ₹5,000
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Detailed Solution

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Given:

Marked Price (MP) = 1.5 × Cost Price (CP)

Discount = 30%

Selling Price (SP) = ₹5,250

Formula used:

SP = MP × (1 - Discount)

MP = 1.5 × CP

Calculation:

5,250 = 1.5 × CP × (1 - 0.30)

⇒ 5,250 = 1.5 × CP × 0.70

⇒ 5,250 = 1.05 × CP

⇒ CP = \(\dfrac{5,250}{1.05}\)

⇒ CP = 5,000

∴ The correct answer is option (3).

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