Multiple choice

A milk vendor has two cans – C1 and C2 – of capacity of 300 litres each. Both the cans are full to the brim with milk-water solution. The concentration of milk in C1 is 75% and that in C2 is 50%. How much quantity of solution should the vendor mix from the C1 and C2 such that he gets 180 litres of solution having water and milk in the ratio of 3:5?

  1. 90 litres, 90 litres

  2. 72 litres, 108 litres

  3. 45 litres, 135 litres

  4. 40 litres, 140 litres
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

C1 has 75% milk (25% water), C2 has 50% milk (50% water). We want 180L with 5/8 milk (62.5%) and 3/8 water (37.5%). Using allegation: (75 - 62.5) : (62.5 - 50) = 12.5 : 12.5 = 1:1. Thus, equal parts of 90L each are needed.

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