SSC CHSL 2024 PYQ — Question 52

The correct answer is Option 1 i.e. $\frac{1}{9}$.

Let P's age at the time of her marriage be x

She got married 15 years ago,

Present age = x + 15

Today her age is 1$\frac 3 5$ times her age at the time of her marriage

⇒ x + 15 =  1$\frac 3 5$ x

⇒ x + 15 = $\frac 8 5$x

⇒ 5(x + 15) = 8x

⇒ 5x + 75 = 8x

⇒ 3x = 75

⇒ x = 25

So, P's present age = x + 15 = 25 + 15 = 40 years

At present her son's age is $\frac 1 5$ of her age

Son's present age = $\frac 1 5$ × 40 = 8 years

So, Son's age 4 years ago = 8 - 4 = 4 years

P's age 4 years ago = 40 - 4 = 36 years

So,

Fraction = Son's age 4 years ago/P's get 4 years ago

⇒ $\frac {4} {36}$ = $\frac 1 9$