Find the interest and the amount on :
Rs. 750 in 3 years 4 months at 10% per annum.

Answer

To solve the problem of finding the interest and the amount on Rs. 750 in 3 years and 4 months at 10% per annum, we will follow these steps:

### Step 1: Identify the given values
- Principal (P) = Rs. 750
- Rate of interest (R) = 10% per annum
- Time (T) = 3 years 4 months

### Step 2: Convert the time into years
To convert 4 months into years, we use the conversion:
\[ \text{Time in years} = \text{Years} + \frac{\text{Months}}{12} \]
So,
\[ T = 3 + \frac{4}{12} = 3 + \frac{1}{3} = \frac{10}{3} \text{ years} \]

### Step 3: Use the Simple Interest formula
The formula for Simple Interest (SI) is:
\[ SI = \frac{P \times R \times T}{100} \]
Substituting the values we have:
\[ SI = \frac{750 \times 10 \times \frac{10}{3}}{100} \]

### Step 4: Calculate the Simple Interest
Now, we simplify the expression:
\[ SI = \frac{750 \times 10 \times 10}{3 \times 100} \]
\[ SI = \frac{75000}{300} = 250 \]
So, the Simple Interest is Rs. 250.

### Step 5: Calculate the Amount
The Amount (A) can be calculated using the formula:
\[ A = P + SI \]
Substituting the values:
\[ A = 750 + 250 = 1000 \]
So, the Amount is Rs. 1000.

### Final Results
- Simple Interest = Rs. 250
- Amount = Rs. 1000

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