Find the time in which Rs. 1,200 will amount to Rs. 1,536 at `3*5%` per year.

Answer

To find the time in which Rs. 1,200 will amount to Rs. 1,536 at an interest rate of 3.5% per year, we will follow these steps:

### Step 1: Identify the given values
- Principal (P) = Rs. 1,200
- Amount (A) = Rs. 1,536
- Rate of Interest (R) = 3.5% per annum

### Step 2: Calculate the Simple Interest (SI)
The formula for Simple Interest is:
\[ \text{SI} = \text{Amount} - \text{Principal} \]

Substituting the values:
\[ \text{SI} = 1,536 - 1,200 = 336 \]

### Step 3: Use the Simple Interest formula to find time (T)
The formula for Simple Interest is also given by:
\[ \text{SI} = \frac{P \times R \times T}{100} \]

We can rearrange this formula to solve for time (T):
\[ T = \frac{\text{SI} \times 100}{P \times R} \]

### Step 4: Substitute the known values into the formula
Substituting the values we have:
\[ T = \frac{336 \times 100}{1,200 \times 3.5} \]

### Step 5: Simplify the equation
First, calculate the denominator:
\[ 1,200 \times 3.5 = 4,200 \]

Now substitute this back into the equation:
\[ T = \frac{336 \times 100}{4,200} \]

### Step 6: Perform the multiplication and division
Calculating the numerator:
\[ 336 \times 100 = 33,600 \]

Now divide:
\[ T = \frac{33,600}{4,200} = 8 \]

### Conclusion
The time (T) is 8 years.

---