Multiple choice

In a solution of spirit and water, water is 35%. When 40 litres spirit is added then percentage of spirit in solution becomes 75%. Find the quantity of water in solution initially. एक स्प्रिट तथा पानी के विलयन में, पानी 35% है । जब 40 लीटर स्प्रिट मिलाया जाता है तो विलयन में स्प्रिट का प्रतिशत 75% हो गया। प्रारम्भिक मिश्रण में पानी की मात्रा ज्ञात कीजिये।

  1. 35 litres/लीटर

  2. 22.5 litres/लीटर

  3. 67.5 litres/लीटर

  4. 72 litres/लीटर
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A Correct answer
Explanation

Let initial solution volume = x liters. Water = 0.35x, spirit = 0.65x. After adding 40 liters spirit: spirit/(x+40) = 0.75. So 0.65x + 40 = 0.75(x+40), giving 0.65x + 40 = 0.75x + 30, so 0.10x = 10, x = 100 liters. Initial water = 0.35 × 100 = 35 liters.

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