If coffee is made from two components A and B in a ratio of 2:3. If the prices of these items are 300 and 500 per kg respectively, then the price of coffee per kg is ____.
- 420
- 460
- 550
- None of these
Explanation
To find the price of coffee per kilogram, we need to calculate the weighted average of the prices of components A and B based on their ratio.
1. Calculate the total price of the components:
- Let the weight of component A be 2 units and the weight of component B be 3 units.
- The total price of component A is 2 units * $300/kg = $600.
- The total price of component B is 3 units * $500/kg = $1500.
2. Calculate the total weight of the components:
- The total weight is 2 units + 3 units = 5 units.
3. Calculate the price of coffee per kilogram:
- Divide the total price of the components by the total weight:
- $600 + $1500 = $2100.
- $2100 / 5 units = $420 per kilogram.
Therefore, the price of coffee per kilogram is $420.
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