An article with marked price of Rs. 5676 is sold at a discount of 40 percent. If 20 percent profit is earned, then what is the cost price of the article?

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  1. Rs. 2838
  2. Rs. 2548
  3. Rs. 2500
  4. Rs. 2675

Answer (Detailed Solution Below)

Option 1 : Rs. 2838
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Detailed Solution

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Given:

An article with marked price of Rs. 5676 is sold at a discount of 40 percent. If 20 percent profit is earned, then what is the cost price of the article?

Formula used:

Selling Price (SP) = Marked Price (MP) × (1 - Discount%)

Cost Price (CP) = Selling Price (SP) / (1 + Profit%)

Calculation:

MP = 5676

Discount = 40%

Profit = 20%

SP = MP × (1 - Discount%)

⇒ SP = 5676 × (1 - 0.40)

⇒ SP = 5676 × 0.60

⇒ SP = 3405.6

CP = SP / (1 + Profit%)

⇒ CP = 3405.6 / (1 + 0.20)

⇒ CP = 3405.6 / 1.20

⇒ CP = 2838

∴ The correct answer is option (1).

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