Multiple choice

A coffee dealer mixes two types of coffee beans, one costing Rs. 400 per kg and the other Rs. 600 per kg. In what ratio should he mix them to sell the mixture at Rs. 550 per kg?

  1. 3 : 4

  2. 1 : 2

  3. 1 : 3

  4. 1 : 4

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

Using alligation: (600 - 550) / (550 - 400) = 50 / 150 = 1/3.

AI explanation

Using the rule of alligation, the ratio of the quantities is the inverse of the difference between each component's price and the mean price. The dealer wants a mean price of Rs. 550, so the differences are 600 minus 550 and 550 minus 400. This yields differences of 50 and 150, making the required mixing ratio 50 to 150, which simplifies to 1 to 3.

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