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If a milkman adds 4 l of water to 9 l of milk, then the amount of water he should add to 36 l of milk in order to maintain the same proportion of milk
Question

If a milkman adds 4 l of water to 9 l of milk, then the amount of water he should add to 36 l of milk in order to maintain the same proportion of milk and water will be:

A.

16 l

B.

12 l

C.

10 l

D.

14 l

Correct option is A

Given:
Water added to 9 liters of milk = 4 liters.
Milk = 36 liters.
Required: Water to maintain the same proportion.
Formula Used:
Water required = Milk volume×Water in initial mixtureMilk in initial mixture\text{Milk volume} \times \frac{\text{Water in initial mixture}}{\text{Milk in initial mixture}}​  
Solution:
Initial milk-to-water ratio:
Milk : Water = 9 : 4
Proportion of water in the mixture:
WaterMilk=49\frac{\text{Water}}{\text{Milk}} = \frac{4}{9}​​
Water required for 36 liters of milk:
Water required = 36×4936 \times \frac{4}{9} ​= 16liters.

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