Milkman ratio of water to milk

CMAT 2021 · Quantitative Techniques & Data Interpretation · Easy · Mixtures and Alligations

A milkman adds 10 litres of water to 90 litres of milk. After selling 15th\frac{1}{5}^{\text{th}} of the total quantity, he adds water equal to the quantity he sold. The proportion of water to milk he sells now would be:

  1. A.

    72 : 28

  2. B.

    28 : 72

  3. C.

    20 : 80

  4. D.

    30 : 70

Answer

B

Explanation

Initially:

  • Milk = 90 L, Water = 10 L. Total = 100 L.

He sells 15\frac{1}{5} of 100 L = 20 L mixture.

  • Milk sold = 15×90=18\frac{1}{5} \times 90 = 18 L
  • Water sold = 15×10=2\frac{1}{5} \times 10 = 2 L

Remaining mixture:

  • Milk = 90−18=7290 - 18 = 72 L
  • Water = 10−2=810 - 2 = 8 L

He adds 20 L of water:

  • New Water quantity = 8+20=288 + 20 = 28 L
  • Milk quantity = 72 L

Proportion of water to milk now = 28 : 72.

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