10 litres of petrol costing ₹105/litre is mixed with 15 litres of kerosene costing ₹25/litre. Find the price of the mixture.

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  1. ₹57/litre
  2. ₹43/litre
  3. ₹55/litre
  4. ₹35/litre

Answer (Detailed Solution Below)

Option 1 : ₹57/litre
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Detailed Solution

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Given:

Petrol quantity = 10 litres

Petrol cost per litre = ₹105

Kerosene quantity = 15 litres

Kerosene cost per litre = ₹25

Formula used:

Price of mixture = \(\dfrac{\text{Total cost}}{\text{Total quantity}}\)

Calculation:

Total cost = (Petrol quantity × Petrol cost per litre) + (Kerosene quantity × Kerosene cost per litre)

⇒ Total cost = (10 × 105) + (15 × 25)

⇒ Total cost = 1050 + 375

⇒ Total cost = ₹1425

Total quantity = Petrol quantity + Kerosene quantity

⇒ Total quantity = 10 + 15

⇒ Total quantity = 25 litres

Price of mixture = \(\dfrac{1425}{25}\)

⇒ Price of mixture = ₹57/litre

∴ The correct answer is option (1).

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