Question

Raju got married 8 years ago. His present age is \( \frac{6}{5} \) times his age at the time of his marriage. Raju's sister was 10 years younger than him at the time of his marriage. The present age of Raju's sister is?

• A. \(30\) years
• B. \(35\) years
• C. \(38\) years
• D. \(36\) years
• E. \(40\) years

Answer 1

The Correct Option is C

Concept: This is an
age problem involving:

• Relation between present and past ages
• Constant age difference

Step 1: Assume age at marriage.
Let Raju's age at marriage be \(x\).
Present age \(= x + 8\)
Step 2: Use given relation.
\[ x + 8 = \frac{6}{5}x \]
Step 3: Solve equation.
\[ 5x + 40 = 6x \Rightarrow x = 40 \]
Step 4: Find present age of Raju.
\[ \text{Present age} = 40 + 8 = 48 \]
Step 5: Find sister's age.
At marriage, sister was: \[ 40 - 10 = 30 \] Present age: \[ 30 + 8 = 38 \]
Step 6: Option analysis.

• (A) 30: Past age $\times$
• (B) 35: Incorrect $\times$
• (C) 38: Correct \checkmark
• (D) 36: Incorrect $\times$
• (E) 40: Incorrect $\times$

Conclusion:
Thus, the correct answer is
Option (C).