To find the amount on Rs. 40,000 from 15 March 2007 to 21 October 2007 at 4% per annum, we can use the formula for compound interest.
First, we need to find the time period in years. From 15 March 2007 to 21 October 2007, we have a span of 7 months and 6 days. We can convert this to years by dividing by the number of days in a year (365.25, taking into account leap years):
7 months and 6 days = (7/12) + (6/365.25) = 0.5861 years (approximately)
Next, we can calculate the amount using the compound interest formula:
Amount = Principal * (1 + (Rate/100))^Time
Where:
Principal = Rs. 40,000
Rate = 4% per annum
Time = 0.5861 years
Plugging in the values, we get:
Amount = 40000 * (1 + (4/100))^0.5861
Simplifying this expression, we get:
Amount = 40000 * (1.04)^0.5861
Using a calculator, we find that (1.04)^0.5861 is approximately 1.0233.
So the amount on Rs. 40,000 from 15 March 2007 to 21 October 2007 at 4% per annum is:
Amount = 40000 * 1.0233
Amount = Rs. 40,932.80 (rounded to two decimal places)
Therefore, the amount on Rs. 40,000 from 15 March 2007 to 21 October 2007 at 4% per annum is approximately Rs. 40,932.80.