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Aptitude · Q13

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Competitive Exams · Aptitude · question 13

Q13

A vessel contains milk and water in the ratio 3 : 2. The volume of the contents is increased by 50% by adding water to it. From this resultant solution 30 L is withdrawn and then replaced with water. The resultant ratio of milk water in the final solution is 3 : 7. Find the original volume of the solution.

A.
80 L
Answer
B.
65 L
C.
75 L
D.
82 L

Answer: Option A

Solution

Answer: Option A
Solution:
Let the original volume be x.
then, quantity of milk and water,
= and respectively.
After adding water to it, the volume becomes 150%, the quantity of milk and water,
= and

14(3x - 60) = 3(9x + 120)
Or, x = 80 L