In how many years will a certain sum become 3 times itself at 25% per annum under simple interest? (a) 5  (b) 8 (c) 12 (d) 6

Explanation

To solve the problem of how many years it will take for a certain sum to become three times itself at a simple interest rate of 25% per annum, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Problem**: We need to find the time (in years) it takes for a principal amount (P) to grow to three times itself (3P) under simple interest.

2. **Set Up the Equation**:
- The total amount after time \( t \) years is given by the formula:
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