Find the total Simple Interest on Rs. 500 at 7% per annum , on Rs . 700 at Rs 10% per annum and on Rs. 1000 at 4 % per annum for 3 years .

Options

A. 435
B. 500
C. 700
D. 1000

Answer

To find the total Simple Interest on the given amounts, we will use the formula for Simple Interest (SI):

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

where:
- \( P \) = Principal amount
- \( R \) = Rate of interest (in percentage)
- \( T \) = Time (in years)

We will calculate the Simple Interest for each amount separately and then sum them up.

### Step 1: Calculate Simple Interest for Rs. 500 at 7% per annum for 3 years

Using the formula:

\[ SI_1 = \frac{500 \times 7 \times 3}{100} \]

Calculating:

\[ SI_1 = \frac{10500}{100} = 105 \]

### Step 2: Calculate Simple Interest for Rs. 700 at 10% per annum for 3 years

Using the formula:

\[ SI_2 = \frac{700 \times 10 \times 3}{100} \]

Calculating:

\[ SI_2 = \frac{21000}{100} = 210 \]

### Step 3: Calculate Simple Interest for Rs. 1000 at 4% per annum for 3 years

Using the formula:

\[ SI_3 = \frac{1000 \times 4 \times 3}{100} \]

Calculating:

\[ SI_3 = \frac{12000}{100} = 120 \]

### Step 4: Calculate Total Simple Interest

Now, we will sum up all the Simple Interests calculated:

\[ Total\ SI = SI_1 + SI_2 + SI_3 \]

Calculating:

\[ Total\ SI = 105 + 210 + 120 = 435 \]

Thus, the total Simple Interest is **Rs. 435**.