Correct Answer: 63 Kg
Explanation:
Given:
Step 1: Calculate cost price of the mixture
Since there's a 10% gain on selling price Rs. 9.24/kg:
CP of mixture = 9.24 / 1.10 = Rs. 8.40/kg
Step 2: Use alligation rule
Let A = Rs. 9/kg, B = Rs. 7/kg, Mean = Rs. 8.40/kg
A – Mean = 9 - 8.4 = 0.6
Mean – B = 8.4 - 7 = 1.4
Therefore, the ratio = 1.4 : 0.6 = 14 : 6 = 7 : 3
Step 3: Apply the ratio to the known quantity (sugar B)
3 parts = 27 kg → 1 part = 9 kg
7 parts = 9 × 7 = 63 kg
Answer: 63 kg of sugar costing Rs. 9/kg should be mixed.
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