Question:
In what ratio must rice costing Rs 30 per kg be mixed with rice costing Rs 40 per kg so that the mixture costs Rs 34 per kg?
In what ratio must rice costing Rs 30 per kg be mixed with rice costing Rs 40 per kg so that the mixture costs Rs 34 per kg?
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Alligation: cross the differences from the mean price.
Updated On: Jul 8, 2026
- 2 : 3
- 3 : 2
- 4 : 3
- 3 : 4
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The Correct Option is B
Solution and Explanation
Step 1: Apply the rule of alligation.
\[\text{Ratio} = (\text{Dearer} - \text{Mean}) : (\text{Mean} - \text{Cheaper})\] Step 2: Substitute values.
\[(40 - 34) : (34 - 30) = 6 : 4\] Step 3: Simplify.
\[6 : 4 = \boxed{3 : 2}\] (cheaper : dearer)
\[\text{Ratio} = (\text{Dearer} - \text{Mean}) : (\text{Mean} - \text{Cheaper})\] Step 2: Substitute values.
\[(40 - 34) : (34 - 30) = 6 : 4\] Step 3: Simplify.
\[6 : 4 = \boxed{3 : 2}\] (cheaper : dearer)
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