Solved UPSC CDS/OTA Question
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Q · Mixture and AlligationMedium · 45s
Two types of sugar costing Rs. 50/kg and Rs. 60/kg are mixed to get a mixture worth Rs. 54/kg. Find the ratio of the cheaper sugar to the costlier sugar.
TopicMixture and Alligation
Question Typemultiple choice
DifficultyMedium
Marking+1 / −0.33
Test Duration30 min
Step-by-Step Solution
The complete worked solution.
Every step explained - no skipped algebra.
Use the allegation method:
Cheaper sugar = ₹50/kg
Costlier sugar = ₹60/kg
Mean price = ₹54/kg
Apply rule of allegation:
Costlier − Mean = 60 − 54 = 6
Mean − Cheaper = 54 − 50 = 4
Ratio = 4 : 6 = 2 : 3
Answer: Mix in the ratio 2 : 3 (cheaper : costlier).
Final Answer: Option B - 2:3