In what ratio must a shopkeeper mix sugar at ₹30/kg and ₹32.5/kg so that by selling the mixture at ₹34.1/kg, he may get 10% profit?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3, i.e. 3 : 2.
Let the mixture cost price per kg = C ₹
Selling price = 34.1, Profit = 10%
C × (100 + 10) ÷ 100 = 34.1 → C × 110 ÷ 100 = 34.1
C = 34.1 × 100 ÷ 110 = 3410 ÷ 110 = 31 ₹
Mix ratio = (Costlier − Mean) : (Mean − Cheaper)
Costlier = 32.5, Cheaper = 30, Mean = 31
Ratio = (32.5 − 31) : (31 − 30) = 1.5 : 1 = 3 : 2