cat 2022 Question 3

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

Accepted Answer

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 = $\frac{1(50\%)}{1+3}$

Sugar syrup = $\frac{1(50\%) + 3(100\%)}{1+3}$ = $\frac{350}{4}$

Required ratio = $50:350 = 1:7$

Question 3.

Question Explanation