A shopkeeper allows a discount of 40% on his articles and still makes a profit of 20%. How much cost price does a shopkeeper pay for an article whose marked price is ₹2,400?

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SSC GD Constable (2022) Official Paper (Held On : 10 Jan 2023 Shift 1)
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  1. ₹1,728
  2. ₹1,200
  3. ₹1,440
  4. ₹1,132

Answer (Detailed Solution Below)

Option 2 : ₹1,200
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Detailed Solution

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Given:

The marked price of the article = ₹2,400

Discount allowed = 40%

Profit made = 20%

Formula used:

Selling price = Marked price(MP) - Discount allowed

Profit = Selling price(SP) - Cost price(CP)

Calculation:

According to question

Let MP be 100x

Discount= 40%

Selling Price = 100x - 40x = 60x

From this SP = 60x,  Still makes profit = 20%

So, CP = 60x ÷ 120 × 100 = 50x

CP MP SP
50x      100x 60x
  2400(given)  

CP = 2400 ÷ 100 × 50 = 1200

∴ Cost price is 1200.

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