Question

Two types of oil costing Rs. 60 per litre and Rs. 80per litre are mixed

in the ratio of 4:3. What is the per litre price of mixture?
on
39

Answer 1

To find the per litre price of the mixture, we need to calculate the weighted average of the prices of the two types of oil based on their ratios.

Let's assign variables to represent the prices and ratios:
Price of the first oil (Rs. 60 per litre) = Rs. 60
Price of the second oil (Rs. 80 per litre) = Rs. 80
Ratio of the first oil = 4
Ratio of the second oil = 3

To calculate the weighted average, we can use the formula:

Weighted Average = (Price of first oil * Ratio of first oil + Price of second oil * Ratio of second oil) / Total ratio

Using the given values, we get:

Weighted Average = (60 * 4 + 80 * 3) / (4 + 3) = (240 + 240) / 7 = 480 / 7

So, the per litre price of the mixture is Rs. 480 / 7, which is approximately Rs. 68.57.