Multiple choice

A milkman mixes a certain amount of water in the pure milk and makes 16⅔% profit by selling this milk at cost price of pure milk. Find the ratio of milk to water in the mixture.

  1. 5 : 1

  2. 4 : 1

  3. 1 : 6

  4. 6 : 1

  5. 3 : 1
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Profit = 16 2/3% = 1/6. This means the gain is 1/6 of the cost price. If the milkman sells at cost price, the ratio of water to milk is 1/6. Therefore, the ratio of milk to water is 6:1.

AI explanation

A profit of 16 2/3% is equivalent to a gain factor of 1/6. Because the water is mixed to inflate the volume by this factor, the ratio of milk to the total mixture is 6 to 7. Subtracting the 6 parts of pure milk from the 7 total parts leaves 1 part of water. Therefore, the required ratio of milk to water in the mixture is 6 to 1.

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