In a mixture, milk and waves are in ratio of 2 : 3. Some milk is added to the mixture because of which ratio of milk and water becomes 10 : 3. How much milk was added as a percentage of initial mixture?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 160 percent.
Given:
Initial ratio of milk to water = 2 : 3
Final ratio of milk to water = 10 : 3
Explanation:
According to the given question,
Total initial mixture = 2x + 3x = 5x
Let, the amount of milk added be m
The new quantity of milk is 2x + m and the quantity of water remains 3x
The new ratio of milk to water is given as 10 : 3
⇒ (2x + m)/3x = 10/3
⇒ 3(2x + m) = 30x
⇒ 6x + 3m = 30x
⇒ 3m = 30x - 6x
⇒ 3m = 24x
⇒ m = 8x
Percentage of milk added = (m/initial mixture) × 100
⇒ 8x/5x × 100
⇒ 8/5 × 100 = 160%
Therefore, the amount of milk added is 160% of the initial mixture.