The cost of type 1 rice is Rs.30 per kg and type 2 rice is Rs.35 per kg. if both type 1 and type 2 are mixed in the ratio of 2:3, then the price per kg of the mixed variety of rice is:
Question
The cost of type 1 rice is Rs.30 per kg and type 2 rice is Rs.35 per kg. if both type 1 and type 2 are mixed in the ratio of 2:3, then the price per kg of the mixed variety of rice is:
Solution
To find the price per kg of the mixed variety of rice, we need to calculate the weighted average of the two types of rice.
Step 1: Multiply the price of each type of rice by its respective ratio. For type 1 rice: 30 (price per kg) * 2 (ratio) = 60 For type 2 rice: 35 (price per kg) * 3 (ratio) = 105
Step 2: Add the results together. 60 + 105 = 165
Step 3: Add the ratios together. 2 (ratio of type 1) + 3 (ratio of type 2) = 5
Step 4: Divide the total price by the total ratio to get the price per kg of the mixed variety. 165 (total price) / 5 (total ratio) = Rs.33
So, the price per kg of the mixed variety of rice is Rs.33.
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