Question

A milkman bought 15 L of milk and mixed 3 L of water in it. If the price per kg of the mixture becomes ₹ 22, what is the cost price of the milk per litre?

• A. 28
• B. 26.40
• C. 21
• D. 22.60

Answer 1

Answer:

B. 26.40

• Calculate the Total Volume of the Mixture: The milkman started with 15 litres of milk and added 3 litres of water. Therefore, the total volume of the mixture is 15 L + 3 L = 18 litres.

• Determine the Total Value of the Mixture: The problem states that the price per litre (or kg, assuming 1L = 1kg for simplicity in these problems unless density is given) of the mixture is ₹ 22.

• So, the total value of the 18 litres of mixture is 18 L × ₹ 22/L = ₹ 396.

• Relate Mixture Value to Milk Cost: Since the water has no cost, the entire cost of ₹ 396 for the mixture must come from the original 15 litres of milk.

• Therefore, the total cost of the 15 litres of milk is ₹ 396.

• Calculate the Cost Price of Milk per Litre: To find the cost price of milk per litre, divide the total cost of the milk by the quantity of milk purchased.

• Cost price per litre of milk = Total cost of milk / Quantity of milk = ₹ 396 / 15 L.

• Performing the division: 396 ÷ 15 = ₹ 26.40.