A shopkeeper purchases milk at a cost of 60 rupees per kg. After mixing water…
2025
A shopkeeper purchases milk at a cost of 60 rupees per kg. After mixing water (free of cost) in it, he sells the milk to customers at a price of 62 rupees per kg and earns a profit of 10%. In what ratio does he mix milk and water?
- A.
56 : 1
- B.
31 : 2
- C.
59 : 1
- D.
41 : 1
Attempted by 2 students.
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Correct answer: B
Step 1: Calculate the Cost Price (CP) of the mixture. Selling Price (SP) is 62 Rs/kg with a 10% profit. CP = SP / (1 + Profit%) = 62 / 1.10 = 620/11 Rs/kg. Step 2: Apply the Alligation Rule. CP of Milk = 60 Rs/kg, CP of Water = 0 Rs/kg. Mean Price (Mixture) = 620/11. Step 3: Determine the Ratio. Ratio of Milk to Water = (Mean Price - CP of Water) : (CP of Milk - Mean Price). Calculation: (620/11 - 0) : (60 - 620/11). This simplifies to 31:2.