Calculating Average Cost Per Kg
The average cost per kg of a mixture is found using a weighted average, considering the weight and price of each component.
1. Represent Weights and Prices
- Weights ratio: 2:3:4:5:6. Let weights be $2x, 3x, 4x, 5x, 6x$ kg.
- Prices per kg: Rs. 40, Rs. 42, Rs. 45, Rs. 48, Rs. 50.
2. Calculate Total Cost
Total Cost = $(2x \times \text{Rs. } 40) + (3x \times \text{Rs. } 42) + (4x \times \text{Rs. } 45) + (5x \times \text{Rs. } 48) + (6x \times \text{Rs. } 50)$
Total Cost = $80x + 126x + 180x + 240x + 300x = 926x$ Rs.
3. Calculate Total Weight
Total Weight = $2x + 3x + 4x + 5x + 6x = 20x$ kg.
4. Calculate Average Cost Per Kg
Average Cost per kg = $\frac{\text{Total Cost}}{\text{Total Weight}} = \frac{926x}{20x}$
Average Cost per kg = $\frac{926}{20} = 46.3$ Rs./kg
Similar Questions
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Important Questions from Average
The average height of 20 students of class 8 is 152 cm and the average height of 15 students of class 9 is 168 cm. What is the average height (to the nearest cm) of the students of both classes?
The average of 4, 6, 8, 12 and x is 7 and the average of x, 9, 13, 15 and y is 9. What is the value of 2x - 3y?
The average weight of 20 girls in a school was 52 kg. Two new students of weight 54 kg and 50 kg were admitted. The ratio of this new average to the old one is:
If the average of two numbers is 13 and the square root of their product is 12, then the difference between the numbers is:
If the average of 5 consecutive odd integers in increasing order is 11 , then the average of the last 3 of them is:
