John buys 20 kg of wheat at ₹30 per kg and 30 kg of wheat at ₹50 per kg. Find his average price.

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  1. ₹40 per kg
  2. ₹20 per kg
  3. ₹42 per kg
  4. ₹21 per kg

Answer (Detailed Solution Below)

Option 3 : ₹42 per kg
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Detailed Solution

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Given:

John buys 20 kg of wheat at ₹30 per kg and 30 kg of wheat at ₹50 per kg.

Formula used:

Average Price = \(\dfrac{\text{Total Cost}}{\text{Total Quantity}}\)

Calculation:

Total Cost = (20 × 30) + (30 × 50)

⇒ Total Cost = 600 + 1500

⇒ Total Cost = 2100

Total Quantity = 20 + 30

⇒ Total Quantity = 50

Average Price = \(\dfrac{2100}{50}\)

⇒ Average Price = 42

∴ The correct answer is option (3).

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