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The ratio of milk to water in 10 litres of a mixture is 3:2. The quantity of milk in the mixture will be:
4 litres
6 litres
5 litres
10 litres
6 litres
Sum of ratios is 3+2=5. Since 5 units = 10 litres, 1 unit = 2 litres. Milk is 3 units, so 3×2=6 litres.
Total quantity of mixture = 10 litres, Ratio of milk to water = 3 : 2
Quantity=Total×Sum of Ratio PartsRatio Part
Sum of ratios is 3+2=5. Since 5 units = 10 litres, 1 unit = 2 litres. Milk is 3 units, so 3×2=6 litres.
Students often divide 10 by 3 instead of the sum of the ratio (5), or mix up milk and water parts.
Calculate sum of ratio parts
The given ratio of milk to water is 3:2. The sum of the parts is 3+2=5.
3+2=5
Find the value of one part
Divide the total mixture volume by the total number of parts: 10 litres/5=2 litres.
510=2
Calculate quantity of milk
Milk represents 3 parts of the mixture. Thus, 3×2 litres=6 litres.
3×2=6
B is correct because the milk part of the 3:2 ratio in a 10-litre mixture calculates to 6 litres.
This concept is foundational for 'Alligation and Mixtures' problems, where you often need to find the specific quantity of an ingredient after mixing two solutions.
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