Find the simple interest (in ₹) on ₹4,000 at 6.75% per annum rate of interest deposited on 25 February 2024 and withdrawn on 26 April 2024.

The correct option is ₹45.

Step 1: Identify the given parameters
Principal ($P$) = ₹4,000
Rate of interest ($R$) = 6.75% per annum

Step 2: Calculate the total time duration in days
Note that 2024 is a leap year, so February 2024 has 29 days.
When calculating interest between two dates, one of the boundary days (either the day of deposit or the day of withdrawal) is excluded.
• Days remaining in February = 29 - 25 = 4 days
• Days in March = 31 days
• Days in April = 26 days

Total time in days ($d$):

$d=4+31+26=61\text{days}$

Since 2024 has 366 days, the time period in years ($T$) is:

$T=\frac{61}{366}\text{years}=\frac{1}{6}\text{years}$

Step 3: Calculate the Simple Interest (SI)
The formula for Simple Interest is:

$\text{SI}=\frac{P\times R\times T}{100}$

Substitute the known values into the formula:

$\text{SI}=\frac{4000\times 6.75\times 61}{100\times 366}$

$\text{SI}=\frac{40\times 6.75}{6}$

$\text{SI}=\frac{270}{6}=45$

Thus, the simple interest earned is ₹45.