Find the simple interest on Rs. 800 at 7% per annum and on Rs 700 at 16% p.a and on Rs 500 at 4% p.a. for 2 years .

Answer

To find the simple interest on the given amounts, we will use the formula for simple interest:

**Simple Interest (SI) = (P × R × T) / 100**

Where:
- P = Principal amount
- R = Rate of interest per annum
- T = Time in years

Now, let's calculate the simple interest for each case step by step.

### Step 1: Calculate Simple Interest for Rs. 800 at 7% for 2 years

1. **Principal (P)** = Rs. 800
2. **Rate (R)** = 7%
3. **Time (T)** = 2 years

Using the formula:

\[ SI_1 = \frac{800 \times 7 \times 2}{100} \]

Calculating:

\[ SI_1 = \frac{800 \times 14}{100} \]
\[ SI_1 = \frac{11200}{100} \]
\[ SI_1 = 112 \]

### Step 2: Calculate Simple Interest for Rs. 700 at 16% for 2 years

1. **Principal (P)** = Rs. 700
2. **Rate (R)** = 16%
3. **Time (T)** = 2 years

Using the formula:

\[ SI_2 = \frac{700 \times 16 \times 2}{100} \]

Calculating:

\[ SI_2 = \frac{700 \times 32}{100} \]
\[ SI_2 = \frac{22400}{100} \]
\[ SI_2 = 224 \]

### Step 3: Calculate Simple Interest for Rs. 500 at 4% for 2 years

1. **Principal (P)** = Rs. 500
2. **Rate (R)** = 4%
3. **Time (T)** = 2 years

Using the formula:

\[ SI_3 = \frac{500 \times 4 \times 2}{100} \]

Calculating:

\[ SI_3 = \frac{500 \times 8}{100} \]
\[ SI_3 = \frac{4000}{100} \]
\[ SI_3 = 40 \]

### Step 4: Calculate Total Simple Interest

Now, we will add all the simple interests calculated:

\[ Total\ SI = SI_1 + SI_2 + SI_3 \]
\[ Total\ SI = 112 + 224 + 40 \]
\[ Total\ SI = 376 \]

### Final Answer:
The total simple interest is Rs. 376.

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