In what time Rs. 4250 amounts to Rs. 5610 at the rate 8% per annum?

Options

A. 8yr
B. 5yr
C. 6yr
D. 4yr

Answer

To solve the problem of finding the time it takes for Rs. 4250 to amount to Rs. 5610 at an interest rate of 8% per annum, we can follow these steps:

### Step 1: Calculate the Simple Interest
First, we need to find the Simple Interest (SI) earned over the time period. The formula for Simple Interest is:

\[ \text{SI} = \text{Amount} - \text{Principal} \]

Where:
- Amount = Rs. 5610
- Principal = Rs. 4250

So, we calculate:

\[ \text{SI} = 5610 - 4250 = 1360 \]

### Step 2: Use the Simple Interest Formula
Next, we use the formula for Simple Interest to find the time (T):

\[ \text{SI} = \frac{P \times R \times T}{100} \]

Where:
- SI = Rs. 1360
- P = Rs. 4250
- R = 8%

We can rearrange this formula to solve for T:

\[ T = \frac{\text{SI} \times 100}{P \times R} \]

### Step 3: Substitute the Values
Substituting the values we have into the formula:

\[ T = \frac{1360 \times 100}{4250 \times 8} \]

### Step 4: Simplify the Calculation
Now, we calculate the denominator:

\[ 4250 \times 8 = 34000 \]

So, we have:

\[ T = \frac{136000}{34000} \]

### Step 5: Perform the Division
Now, we can simplify:

\[ T = 4 \]

### Conclusion
Thus, the time it takes for Rs. 4250 to amount to Rs. 5610 at the rate of 8% per annum is **4 years**.

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