Find the interset on Rs 1460 at 10 % from 5th february, 1992 to 25th April, 1992.

Options

A. Rs 32
B. Rs 36
C. Rs 40
D. Rs 34

Answer

To find the simple interest on Rs 1460 at a rate of 10% from February 5, 1992, to April 25, 1992, we will follow these steps:

### Step 1: Determine the Principal (P), Rate (R), and Time (T)
- **Principal (P)** = Rs 1460
- **Rate (R)** = 10%
- **Time (T)** = Number of days from February 5, 1992, to April 25, 1992.

### Step 2: Calculate the Time (T) in Days
1. **Days remaining in February**:
- From February 5 to February 29 (since 1992 is a leap year):
- Total days = 29 - 5 = 24 days.

2. **Days in March**:
- March has 31 days = 31 days.

3. **Days in April**:
- From April 1 to April 25 = 25 days.

4. **Total Time (T)**:
- Total days = 24 (February) + 31 (March) + 25 (April) = 80 days.

### Step 3: Convert Time into Years
- Since interest is calculated on a yearly basis, we convert days into years:
- \( T = \frac{80}{365} \) years.

### Step 4: Use the Simple Interest Formula
The formula for Simple Interest (SI) is:
\[ SI = \frac{P \times R \times T}{100} \]

Substituting the values:
- \( P = 1460 \)
- \( R = 10 \)
- \( T = \frac{80}{365} \)

\[ SI = \frac{1460 \times 10 \times \frac{80}{365}}{100} \]

### Step 5: Calculate the Interest
1. Calculate \( \frac{1460 \times 10 \times 80}{100 \times 365} \):
- \( SI = \frac{1460 \times 10 \times 80}{100 \times 365} \)
- \( SI = \frac{1168000}{36500} \)
- \( SI = 32 \) (approximately).

### Conclusion
The simple interest on Rs 1460 at 10% from February 5, 1992, to April 25, 1992, is Rs 32.

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