Multiple choice

In a mixture ratio of sprit and water is (5:3). When 15 litre mixture is taken out and replaced by 20 litre water, the quantity of sprit and water becomes equal. Find the quantity of sprit in the mixture initially?

  1. 45.8 litre

  2. 42.125 litre

  3. 59.375 litre

  4. 62.275 litre

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let initial spirit = 5x, water = 3x. Taking out 15 litres removes spirit=15*(5/8)=9.375 L, water=15*(3/8)=5.625 L. Remaining: spirit=5x-9.375, water=3x-5.625. After adding 20 L water: spirit=5x-9.375, water=3x-5.625+20=3x+14.375. These are equal, so 5x-9.375=3x+14.375, giving 2x=23.75, x=11.875. Initial spirit=5x=5*11.875=59.375 L. Option C is correct. Key distractor: A (45.8) likely comes from incorrectly assuming only water changes.

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