Multiple choice

A mixture contains alcohol and water in the ratio $4 :$3. If $5 litres$ of water is added to the mixture, the ratio becomes $ 4: 5 .$ Find the quantity of alcohol in the given mixture .

  1. 5$\mathrm { Ltr }$
  2. 7.5$\mathrm { Ltr }$
  3. 10$\mathrm { Ltr }$
  4. 12$\mathrm { Ltr }$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Initial: A=4x, W=3x. Added 5L water: A=4x, W=3x+5. New ratio: 4x/(3x+5) = 4/5. 20x = 12x + 20. 8x = 20. x = 2.5. Alcohol = 4 * 2.5 = 10 L.

AI explanation

Let the initial amounts of alcohol and water be 4x and 3x liters respectively. After adding 5 liters of water, the new amount of water is 3x + 5, and the new ratio of alcohol to water is 4x / (3x + 5) = 4 / 5. Solving this equation gives 20x = 12x + 20, which simplifies to 8x = 20 and x = 2.5. The initial quantity of alcohol is 4x, which equals 4 multiplied by 2.5, giving 10 liters.

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