Multiple choice

Deepak has 8 litres of apple wine and 5 litres of grape wine. He accidentally spills some quantity of apple wine and adds an equal quantity of grape wine in it before anyone could see, after which his father mixes the two and finds the ratio of apple wine to grape wine as 7 : 5. Find the quantity of apple wine spilled by Deepak.

  1. 0.532 L

  2. 0.416 L

  3. 0.864 L

  4. 1.256 L

  5. 0.724 L
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let x be the amount spilled. Apple wine remaining = 8 - x. Grape wine = 5 + x. Ratio (8 - x) / (5 + x) = 7/5. 40 - 5x = 35 + 7x. 5 = 12x, so x = 5/12 = 0.4166... L.

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