Multiple choice

In one litre of a mixture of alcohol and water, water is 30%. The amount of alcohol that must be add to the mixture so that the part of water in the mixture becomes 15% is - एल्कोहल और पानी के एक लीटर के मिश्रण में पानी 30% है। उस मिश्रण में कितना एल्कोहल और डाला जाये कि पानी का प्रतिशत 15% हो जाये?

  1. 1000 ml./मिली.

  2. 700 ml./मिली.

  3. 300 ml./मिली.

  4. 900 ml./मिली.
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A Correct answer
Explanation

Initial mixture: 1 litre = 1000 ml with 30% water = 300 ml water, 700 ml alcohol. Let x ml alcohol be added. New mixture = 1000 + x ml total, water still 300 ml. We want water to be 15%: 300/(1000+x) = 15/100. Solving: 30000 = 15(1000+x), so 30000 = 15000 + 15x, giving 15x = 15000, x = 1000 ml.

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