Multiple choice

A manufacturer has two types of fruit juice concentrate. Type A costs Rs. 4.20 per litre, and Type B costs Rs. 5.60 per litre. He wants to mix them to obtain a blend costing exactly Rs. 4.80 per litre. In what ratio should Type A and Type B be mixed?

  1. 1 : 3

  2. 3 : 1

  3. 2 : 1

  4. 4 : 3

  5. 7 : 2
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Using the alligation rule: (Cost of B - Mean Cost) / (Mean Cost - Cost of A) = (5.60 - 4.80) / (4.80 - 4.20) = 0.80 / 0.60 = 8/6 = 4/3.

AI explanation

Using the rule of alligation, the ratio of the quantities is the inverse of the difference between each cost and the mean cost. The mean cost is Rs. 4.80, so the differences are 5.60 minus 4.80 and 4.80 minus 4.20. These differences are 0.80 and 0.60, meaning the required ratio of Type A to Type B is 0.80 to 0.60, which simplifies to 4 to 3.

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