CAT 2022 Question Paper (Slot 1) - Quant Question 15
Question 15
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
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.
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