Multiple choice

In what ratio must a grocer mix two varieties of tea costing Rs. 15 and Rs. 20 per kg respectively, so as to get a mixture worth Rs. 16.50 per kg?

  1. 3 : 7

  2. 5 : 7

  3. 7 : 3

  4. None of the above
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Using the alligation rule, the ratio is (20 - 16.5) : (16.5 - 15) = 3.5 : 1.5. Multiplying by 2 gives 7 : 3.

AI explanation

Using the rule of alligation, the ratio of the quantities of the two cheaper and dearer varieties is determined by the differences between their individual prices and the mean price. The mean price is 16.50, giving required ratio as (20 - 16.50) to (16.50 - 15). This simplifies to 3.50 to 1.50, resulting in a required mixing ratio of 7 to 3.

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