P= Rs. 6000, A= Rs. 6660 and the time period is 1 year. Find the interest and the rate of interest per annum.

Explanation

To solve the problem, we need to find the interest and the rate of interest per annum using the given values.

### Step-by-Step Solution:

1. **Identify the given values:**
- Principal (P) = Rs. 6000
- Amount (A) = Rs. 6660
- Time (T) = 1 year

2. **Calculate the Interest (I):**
The formula to calculate the interest is:
\[ I = A - P \]
Substituting the values:
\[ I = 6660 - 6000 = 660 \]
So, the interest is Rs. 660.

3. **Use the formula for Simple Interest to find the Rate of Interest (R):**
The formula for Simple Interest is:
\[ I = \frac{P \times R \times T}{100} \]
Rearranging the formula to find R:
\[ R = \frac{I \times 100}{P \times T} \]
Substituting the known values:
\[ R = \frac{660 \times 100}{6000 \times 1} \]
Simplifying:
\[ R = \frac{66000}{6000} = 11 \]
Therefore, the rate of interest is 11% per annum.

### Final Answers:
- Interest = Rs. 660
- Rate of Interest = 11% per annum