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Two varieties of wheat, one priced at ₹90 per kilogram and the other at ₹135 per kilogram, are mixed in an undisclosed proportion. The resultant blend is sold at ₹150 per kilogram, securing a profit margin of 25% on the overall cost price. Determine the ratio in which the two wheat varieties were mixed.
- 1:2
- 2:3
- 3:4
- 1:5
Correct answer: 1:2
Solution
Since the selling price is ₹150 with 25% profit, the cost price of the mixture is ₹120. Using alligation between ₹90 and ₹135 around mean ₹120 gives the ratio \((135-120):(120-90)=15:30=1:2\).
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