CAT 2022 Slot 1 QA Question & Solution
ArithmeticEasy
Question
A mixture contains lemon juice and sugar syrup in equal proportion. If a new mixture is created by adding this mixture and sugar syrup in the ratio 1 : 3, then the ratio of lemon juice and sugar syrup in the new mixture is
Options
1 : 4
1 : 5
1 : 6
1 : 7
Solution
Lemon juice : sugar syrup in the mixture is 1:1, i.e. 50% Lemon juice and 50% sugar syrup.
In sugar syrup, 100% is sugar syrup.
These two are mixed in the ratio 1:3.
Lemon juice = $\ \frac{\ 1\left(50\%\right)}{1+3}$
Sugar syrup = $\ \frac{\ 1\left(50\%\right)+3\left(100\%\right)}{1+3}=\frac{350}{4}$
Required ratio = 50:350 = 1:7
The answer is option D.