Find the simple interest (in ₹) on ₹2000 at 6.5\% per annum rate of interest for the period from 13 February 2023 to 27 April 2023.

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**Solution:**

1. **Given:**
   - Principal, $ P = 2000 $ ₹
   - Rate of interest, $ R = 6.5\% $ per annum
   - Time period from 13 February 2023 to 27 April 2023

2. **Calculate the time period in days:**
   - Days from 13 Feb to 28 Feb = 16 days (since 2023 is not a leap year)
   - Days in March = 31 days
   - Days in April till 27th = 27 days
   - Total days = 16 + 31 + 27 = 74 days

3. **Convert days into years:**
   $$
   t = \frac{74}{365} \approx 0.2027 \text{ years}
   $$

4. **Apply the simple interest formula:**
   $$
   SI = \frac{P \times R \times t}{100} = \frac{2000 \times 6.5 \times 0.2027}{100}
   $$

5. **Calculate:**
   $$
   SI = \frac{2000 \times 6.5 \times 0.2027}{100} = \frac{2635.1}{100} = 26.351 \approx 26 \text{ ₹}
   $$

**Answer:** ₹26

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