A milkman sells milk mixed with water at ₹9 per liter and makes a 20% profit. If the cost price of pure milk is ₹10 per liter, what is the ratio of milk to water in the mixture?
A milkman sells milk mixed with water at ₹9 per liter and makes a 20% profit. If the cost price of pure milk is ₹10 per liter, what is the ratio of milk to water in the mixture?
एक दूधवाला पानी मिला हुआ दूध 9 रुपये प्रति लीटर बेचकर 20% लाभ कमाता है। यदि 1 लीटर शुद्ध दूध का क्रय मूल्य 10 रुपये है, तो उक्त मिश्रण में दूध और पानी का अनुपात है ?
Detailed Solution & Logic
Correct Answer:
3 : 1
Selling price (mixture) = ₹9 per litre
Profit = 20%
So, cost price of mixture:
$CP = \frac{9}{1.2} = 7.5$
Let milk = $x$ litre, water = $(1 - x)$ litre
Cost of milk = ₹10 per litre
Water is free
So, cost of mixture:
$10x = 7.5$
$x = 0.75$
Water = $0.25$
Ratio of milk : water =
$0.75 : 0.25 = 3 : 1$
Final Answer: 3 : 1
Correct option: 3 : 1
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