Find the ratio in which rice at rs. 7.20 a kg be mixed with rice at rs. 5.70 a kg to produce a mixture worth rs. 6.30 a kg

General
1

find the ratio in which rice at rs. 7.20 a kg be mixed with rice at rs. 5.70 a kg to produce a mixture worth rs. 6.30 a kg.

2

Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.

To solve this problem, we can use the method of alligation. This method is used to find the ratio in which two or more ingredients at different prices are to be mixed to give a mixture at a specified price.

Let’s assume that x kg of rice at Rs. 7.20 per kg is mixed with y kg of rice at Rs. 5.70 per kg to get a mixture of Rs. 6.30 per kg.

We can set up the alligation chart as follows:

   7.20                6.30
    |------------------|-------------------|
   (x)                 (y)
    |------------------|-------------------|
   6.30                5.70

The steps to find the ratio are as follows:

  1. Find the difference between the prices of the mixture and the prices of the given ingredients:

    • For the higher priced rice: 7.20 - 6.30 = 0.90
    • For the lower priced rice: 6.30 - 5.70 = 0.60

  2. Set up the ratio:

    • The difference of 0.90 is to the difference of 0.60 as x is to y.
    • \frac{x}{y} = \frac{0.60}{0.90}
    • \frac{x}{y} = \frac{2}{3}

So, the rice at Rs. 7.20 per kg and the rice at Rs. 5.70 per kg should be mixed in the ratio of 2:3 to produce a mixture worth Rs. 6.30 per kg.