Calculate the simple interest (in ₹) on a principal amount of ₹2000 at an annual interest rate of 6.5% for the duration from 13 February 2023 to 27 April 2023.

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**Solution:**

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

2. Calculate the total number of days in the given period:
   - From 13 February to 27 April:
     - February: 28 - 13 = 15 days (including 13th)
     - March: 31 days
     - April: 27 days
   - Total days = 15 + 31 + 27 = 73 days

3. Convert the time period into years:
   $$t = \frac{73}{365} 	ext{ years}$$

4. Use the simple interest formula:
   $$SI = \frac{P 	imes R 	imes t}{100}$$

5. Substitute the values:
   $$SI = \frac{2000 	imes 6.5 	imes 73}{100 	imes 365}$$

6. Simplify the expression:
   $$SI = \frac{2000 	imes 6.5}{100} 	imes \frac{73}{365} = 130 	imes \frac{73}{365} = 130 	imes 0.2 = 26$$

**Answer:** ₹26

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