How much water must be added to a bucket which contains 40 liters of milk at…

2024

How much water must be added to a bucket which contains 40 liters of milk at the cost price of Rs. 3.50 per liter so that the cost of milk reduces to Rs. 2 per liter?

  1. A.

    25 liters

  2. B.

    28 liters

  3. C.

    30 liters

  4. D.

    35 liters

Attempted by 16 students.

Show answer & explanation

Correct answer: C

Solution:

  • Total cost of the milk = 40 × Rs.3.50 = Rs.140.

  • Let x be the litres of water to add. New total volume = 40 + x litres.

  • Desired cost per litre = Rs.2, so total cost divided by total volume equals 2: 140 / (40 + x) = 2.

  • Solve: 40 + x = 140 / 2 = 70, so x = 70 − 40 = 30.

Answer: 30 litres

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