CAT 2024 Slot 2 QA Question & Solution
ArithmeticMedium
Question
When Rajesh's age was same as the present age of Garima, the ratio of their ages was 3 : 2. When Garima's age becomes the same as the present age of Rajesh, the ratio of the ages of Rajesh and Garima will become
Options
3 : 2
4 : 3
5 : 4
2 : 1
Solution
Let's take Rajesh and Garima's ages to be R and G, respectively
From the given ratio, we can see that Rajesh is older than Garima, so let's take R=G+x
When Rajesh was of age G, which was x years ago, Garima was of G-x years old
Giving the ratio as $\frac{G}{G-x}=\frac{3}{2}$
This gives us G as 3x, which in turn gives R as 4x
We are asked the ratio when Gramia becomes 4x years old.
By that time, Rajesh will be 5x years old.
Giinv their ratio as $\frac{5x}{4x}=5:4$
Therefore, Option C is the correct answer.