In how many years will Rs. 950 produce Rs. 399 as simple interest at 7% ?

Answer

To find out how many years it will take for Rs. 950 to produce Rs. 399 as simple interest at a rate of 7%, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Principal (P) = Rs. 950
- Simple Interest (SI) = Rs. 399
- Rate of Interest (R) = 7%

2. **Use the Simple Interest Formula:**
The formula for calculating simple interest is:
\[ SI = \frac{P \times R \times T}{100} \]
We need to find the time period (T).

3. **Substitute the Known Values into the Formula:**
Substitute the values of SI, P, and R into the formula:
\[ 399 = \frac{950 \times 7 \times T}{100} \]

4. **Simplify the Equation:**
To eliminate the fraction, multiply both sides by 100:
\[ 39900 = 950 \times 7 \times T \]

5. **Calculate \(950 \times 7\):**
\[ 950 \times 7 = 6650 \]
So, the equation becomes:
\[ 39900 = 6650 \times T \]

6. **Solve for T:**
Divide both sides by 6650 to isolate T:
\[ T = \frac{39900}{6650} \]

7. **Perform the Division:**
\[ T = 6 \]

### Final Answer:
The time period (T) is 6 years.

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