In how much time (in years)will Rs 9000 amount to Rs 13500 at simple interest at the rate of 5% per annum.?

Options

A. 15
B. 10
C. 12
D. 13

Answer

To solve the problem of how much time it will take for Rs 9000 to amount to Rs 13500 at a simple interest rate of 5% per annum, we can follow these steps:

### Step 1: Calculate the Simple Interest (SI)
The formula for Simple Interest is:
\[ \text{SI} = \text{Amount} - \text{Principal} \]
Here, the Amount is Rs 13500 and the Principal is Rs 9000.

\[ \text{SI} = 13500 - 9000 = 4500 \]

### Step 2: Find the Interest for One Year
The interest for one year can be calculated using the formula:
\[ \text{SI for 1 year} = \frac{\text{Rate}}{100} \times \text{Principal} \]
Given that the rate is 5%, we can calculate the interest for one year as follows:

\[ \text{SI for 1 year} = \frac{5}{100} \times 9000 = 450 \]

### Step 3: Calculate the Time Required
Now that we have the total Simple Interest (Rs 4500) and the Simple Interest for one year (Rs 450), we can find the time required using the formula:
\[ \text{Time} = \frac{\text{Total SI}}{\text{SI for 1 year}} \]

Substituting the values we have:
\[ \text{Time} = \frac{4500}{450} = 10 \text{ years} \]

### Final Answer
Thus, it will take **10 years** for Rs 9000 to amount to Rs 13500 at a simple interest rate of 5% per annum.

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