Multiple choice

In what ratio must Sudhir mix tea at Rs. 1.06 per kg with tea at Rs. 2.01 per kg so as to get a mixture worth Rs. 1.63 per kg?

  1. 4 : 3

  2. 2 : 3

  3. 1 : 3

  4. 5 : 3

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

Using alligation: (2.01 - 1.63) / (1.63 - 1.06) = 0.38 / 0.57 = 38/57 = 2/3.

AI explanation

Using the rule of alligation, we can find the ratio of the cheaper quantity to the dearer quantity by subtracting the mean price from the respective prices. The ratio is (2.01 minus 1.63) to (1.63 minus 1.06), which simplifies to 0.38 to 0.57. Multiplying both sides by 100 gives 38 to 57, and dividing by the common factor of 19 results in a ratio of 2 to 3.

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