Two varieties of rice are priced at Rs.13 per kg and Rs.19 per kg respectively. In what ratio should these two types be combined so that the resulting mixture costs Rs.14.2 per kg?

Explanation

Let the quantity of the first type of rice be x kg, then the second type will be (1 - x) kg. The cost equation is: 13x + 19(1 - x) = 14.2. Simplifying, 13x + 19 - 19x = 14.2 leads to -6x = -4.8, so x = 0.8. Thus, the ratio of the first type to the second is 0.8 : 0.2, which simplifies to 4:1.