Multiple choice

A shopkeeper has two kinds of flour. One type costs Rs. 40 per kg, and the other costs Rs. 70 per kg. He mixes these in a certain ratio to obtain a mixture that costs Rs. 50 per kg. In what ratio does he mix the two types of flour?

  1. 3 : 7

  2. 7 : 3

  3. 2 : 1

  4. 4 : 5

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

Using the alligation rule, the ratio of the two types of flour is (70 - 50) : (50 - 40) = 20 : 10, which simplifies to 2 : 1.

AI explanation

Using the rule of alligation, the ratio of the quantity of the first type of flour to the second type is found by the differences in their costs from the mean price. The ratio is (70 - 50) : (50 - 40), which represents the cheaper quantity to the dearer quantity. Calculating these differences gives 20 : 10, which simplifies to 2 : 1.

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