Question: A mixture of 40 liters of milk and water contains 10% water. how much water should be added to this so that water may be 20% in the new mixture?
- 4
- 5
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- 8
Correct Answer: B
Solution and Explanation:
Approach Solution 1:
The problem statement states that:
Given:
- There is a mixture of 40 liters of milk and water
- The mixture contains 10% water
Find Out:
- The amount of water to be added to this so that water becomes 20% in the new mixture
Let the amount of water to be added be x liters.
As per the question, we need to find the percentage of water to increase from 10% to 20%
OR
The percentage of milk decreased from 90% to 80%.
It is required to note that when x liters of water is added, the amount of milk in the mixture in liters remains identical, so:
0.9∗40 = 0.8(40+x)
--> x=5
Or, the amount of water after adding x liters of water (0.2∗(40+x)) should be equal to the initial amount of water (0.1∗40) plus the amount of water we add (x)
0.2∗(40+x)=0.1∗40+x
--> x=5
Approach Solution 2:
The problem statement suggests that:
Given:
- There is a mixture of 40 liters of milk and water
- The mixture contains 10% water
Find Out:
- The amount of water to be added to this so that water becomes 20% in the new mixture
40 liters of the mixture contains 4 liters of water (10%). So, it has 36 liters of milk.
if 36 liters <-> 80%,
100% <-> (36/80)x100 = 45 liters
So, the total water in the mixture should be 9 liters.
Since there are already 4 liters in the mixture, 5 liters need to be added.
Approach Solution 3:
The problem statement informs that:
Given:
- There is a mixture of 40 liters of milk and water
- The mixture contains 10% water
Find Out:
- The amount of water to be added to this so that water becomes 20% in the new mixture
Water content in 40 litres of the mixture =40×10/100=4 litres
Therefore, the amount of milk in the mixture = 40−4=36 litres
Let the amount of water mixed be x litres
⇒(4+x)/(40+x) =20/100
Hence, the amount of water to be added to this so that water becomes 20% in the new mixture= 5 litres.
“A mixture of 40 liters of milk and water contains 10% water”- is a topic of the GMAT Quantitative reasoning section of the GMAT exam. This question has been taken from the book “Foundations of GMAT Math”. GMAT Problem Solving questions test the basic math concepts and calculative skills of the candidates to solve mathematical problems. GMAT Quant practice papers help the candidates to analyse varieties of types of questions that will brush up their mathematical learning.
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