Question:The quantity of water (in ml) needed to reduce `9` ml shaving lotion containing `50%` alcohol to a lotion containing `30%`alcohol, is :
A `4`
B `5`
C `6`
D `7`
/114
+ Answer
C
+ ExplanationAlcohol in `9` ml
`= (50/100 xx 9) ml`
`= 4.5 ml`, water` = 4.5 ml.`
Let the water to be added be x ml.
Then,`(4.5)/(9 + x) xx 100`
`= 30 ⇒ 450`
`= 270 + 30x ⇒ x = 6 ml`