Question
Mathematics Question on Mixtures and Allegations
The amount of water (in ml) that should be added to reduce 9 ml lotion, containing 50% alcohol, to a lotion containing 30% alcohol, is
A
5 ml
B
4 ml
C
3 ml
D
6ml
Answer
6ml
Explanation
Solution
Lotion is 9 ml
Alcohol is 4.5 ml
water is 4.5 ml
Let water be added is x ml
Hence, x + 4.5 = 70% of (9 + x) [since alcohol is 30%, so water is (100-30) = 70%]
x = 6 ml
Therefore, the correct option is (D): 6ml