Multiple choice

In a milk tank the quantity of milk is 40% more thanwater. If 31 litres of water is added to this mixture, thenfinal ratio of milk and water is 5 : 8. Find the initial quantityof milk.

  1. 35 litres

  2. 45 litres

  3. 30 litres

  4. 40 litres

  5. 48 litres

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A Correct answer
Explanation

Let the initial quantity of water be w litres, so milk is 1.4w litres. After adding 31 litres of water, 1.4w/(w + 31) = 5/8, which gives w = 25. Therefore, the initial quantity of milk was 1.4 × 25 = 35 litres.