Two kinds of rice, 1st costs Rs.13 per kg and 2nd costs Rs.19 per kg are mixed together. Find the ratio in which the 2 types are mixed so that the mixture costs Rs.14.2 per kg?
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Answer: B. 4:1
Explanation
Applying the rule of alligation calculates the differences between individual prices and the desired mixture price. Subtracting 14.2 from 19 gives 4.8 units for the first component proportion calculation. Subtracting 13 from 14.2 gives 1.2 units, yielding a simplified ratio of 4.8 to 1.2, which equals 4 to 1. Alligation is a standard mathematical method used to find ratios when mixing two ingredients of different prices. The alligation cross method places the cheaper and dearer prices on the left and the mean price in the center. Ratio simplification involves dividing both terms by their greatest common divisor to get lowest terms.
Option A inverts the correct mixing proportions, assigning the wrong ratio to the cheaper and dearer rice types. Option C represents an incorrect arithmetic difference calculation during the alligation setup steps. Option D reverses the required order and uses incorrect price subtraction values.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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