In what ratio should two varieties of sugar at Rs.36 per kg and Rs.48 Kg be mixed together to get a mixture whose cost is Rs.40 per kg ?Options :2:11:23:22:3

To solve this problem, we can use the method of allegation, which is a rule of mixture to find the ratio in which two or more ingredients at the given price must be mixed to produce a mixture of a desired price.

Here are the steps:

1. Write down the cost of the cheaper variety and the costlier variety. In this case, Rs.36 per kg and Rs.48 per kg respectively.

2. Write down the mean price, which is the cost of the mixture. In this case, Rs.40 per kg.

3. Calculate the differences between the mean price and the costs of the cheaper and costlier varieties. The difference between Rs.40 and Rs.36 is Rs.4. The difference between Rs.48 and Rs.40 is Rs.8.

4. The required ratio of the two varieties is the inverse of these differences. So, the ratio in which the two varieties should be mixed is 8:4, which simplifies to 2:1.

So, the two varieties of sugar should be mixed in the ratio 2:1 to get a mixture whose cost is Rs.40 per kg.