The cost price of a table is ₹ 6,400. A businessman wants to earn 25% profit by selling it. At the time of sale, he announces a discount of 20% on the marked price. What is the marked price?

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  1. ₹ 16,000
  2. ₹ 14,500
  3. ₹ 10,000
  4. ₹ 14,000

Answer (Detailed Solution Below)

Option 3 : ₹ 10,000
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Detailed Solution

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Given:

Cost Price (CP) = ₹6,400

Profit Percentage = 25%

Discount Percentage = 20%

Formula used:

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

2. Marked Price (MP) = SP / (1 - Discount Percentage / 100)

Calculations:

1. SP = 6400 × (1 + 25 / 100)

⇒ SP = 6400 × 1.25

⇒ SP = 8000

2. MP = 8000 / (1 - 20 / 100)

⇒ MP = 8000 / 0.80

⇒ MP = 10000

∴ The correct answer is option (3).

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