CAT 2022 Slot 1 QA Question 1: 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 syr

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 syr

Accepted Answer

Take $1$ unit of the original mixture and $3$ units of pure sugar syrup.
In the original mixture, $L : S = 1 : 1$, so $1$ unit of it contains $\dfrac{1}{2}$ unit lemon juice and $\dfrac{1}{2}$ unit sugar syrup.
Lemon juice in new mixture = $\dfrac{1}{2}$
Sugar syrup in new mixture = $\dfrac{1}{2} +

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 1:31 : 31:3, then the ratio of lemon juice and sugar syrup in the new mixture is

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