A shopkeeper bought each packet of 12 articles for Rs. 51 and sold them as a packet of 15 articles, each for Rs. 71.25. If he gets a profit of Rs. 90, the number of articles he sold is

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  1. 90
  2. 270
  3. 180
  4. 120

Answer (Detailed Solution Below)

Option 3 : 180
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CT 1: Ancient History (Pre-History & IVC పూర్వ చరిత్ర & IVC)
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Detailed Solution

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Given:

Cost price of 12 articles = ₹51

Selling price of 15 articles = ₹71.25

Profit = ₹90

Formula used:

Total profit = Total selling price - Total cost price

Number of articles = Total articles bought and sold

Calculation:

Cost price per article =

⇒ Cost price per article = ₹4.25

Selling price per article =

⇒ Selling price per article = ₹4.75

Profit per article = Selling price per article - Cost price per article

⇒ Profit per article = ₹4.75 - ₹4.25

⇒ Profit per article = ₹0.50

Total number of articles =

⇒ Total number of articles = 180

∴ The correct answer is option (3).

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