Rajan got married 8 years ago. His present age is $$\frac{6}{5}$$ times his age at the time of his marriage. Rajan's sister was 10 years younger to him at the time of his marrige. The age of Rajan's sister is = ?

A. 32 years

B. 36 years

C. 38 years

D. 40 years

Answer: Option C

Solution(By Examveda Team)

Let Rajan's age 8 years ago be x years,
Then, present age = (x + 8) years
$$\eqalign{ & \therefore x + 8 = \frac{6}{5}x \cr & \Rightarrow 5x + 40 = 6x \cr & \Rightarrow x = 40 \cr} $$
Rajan's sister's age 8 years ago
= (40 - 10) years
= 30 years
∴ His sister's age now
= (30+8) years
= 38 years