The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs. 20 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:_______?
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Answer: A. Rs. 18
Explanation
The weighted average price is calculated by dividing the total cost of the mixture by the total weight. Multiplying the price of Type 1 rice by two and Type 2 rice by three gives their respective cost contributions. Dividing the combined cost of ninety by the total weight of five units results in a price of eighteen per kilogram. Weighted averages account for the relative quantities or proportions of each component in a mixture. Blending different grades of commodities is a common commercial practice to achieve desired market price points. The total cost of a mixture equals the sum of the individual costs of all constituent parts.
Option B incorrectly adds a decimal amount that distorts the true weighted average calculation. Option C overestimates the price per kilogram by weighting the more expensive rice too heavily. Option D represents an incorrect arithmetic result that exceeds the true weighted average value.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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