The cost of Type 1 rice is Rs. 30 per kg and Type 2 rice is Rs.40 per kg. If both Type 1 and Type 2 are mixed in the ratio of 4 : 6, 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.40 per kg. If both Type 1 and Type 2 are mixed in the ratio of 4 : 6, then the price per kg of the mixed variety of rice is
Solution 1
To find the price per kg of the mixed variety of rice, we need to calculate the weighted average of the prices of Type 1 and Type 2 rice.
Step 1: Identify the ratio in which the two types of rice are mixed. In this case, it's 4:6 for Type 1 and Type 2 rice respectively.
Step 2: Identify the prices of each type of rice. Here, Type 1 rice costs Rs. 30 per kg and Type 2 rice costs Rs. 40 per kg.
Step 3: Multiply the price of each type of rice by its respective ratio. For Type 1, this would be 4 * 30 = Rs. 120. For Type 2, this would be 6 * 40 = Rs. 240.
Step 4: Add the results of Step 3 together. 120 + 240 = Rs. 360.
Step 5: Add the two parts of the ratio together. 4 + 6 = 10.
Step 6: Divide the result of Step 4 by the result of Step 5 to find the price per kg of the mixed variety of rice. 360 / 10 = Rs. 36.
So, the price per kg of the mixed variety of rice is Rs. 36.
Solution 2
To find the price per kg of the mixed variety of rice, we need to calculate the weighted average of the prices of Type 1 and Type 2 rice.
Step 1: Identify the ratio in which the two types of rice are mixed. In this case, it's 4:6 for Type 1 and Type 2 rice respectively.
Step 2: Identify the prices of each type of rice. Here, Type 1 rice costs Rs. 30 per kg and Type 2 rice costs Rs. 40 per kg.
Step 3: Multiply the price of each type of rice by its respective ratio. For Type 1, this would be 4 * 30 = Rs. 120. For Type 2, this would be 6 * 40 = Rs. 240.
Step 4: Add the results of Step 3 together. 120 + 240 = Rs. 360.
Step 5: Add the two parts of the ratio together. 4 + 6 = 10.
Step 6: Divide the result of Step 4 by the result of Step 5 to find the price per kg of the mixed variety of rice. 360 / 10 = Rs. 36.
So, the price per kg of the mixed variety of rice is Rs. 36.
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