A man invests Rs. 124000 for 9 years at 5% SI. Income tax at the rate ...
Given data:
Principal amount (P) = Rs. 124000
Rate of interest (R) = 5%
Time period (T) = 9 years
Income tax rate = 19%
Calculating Simple Interest:
Simple Interest (SI) can be calculated using the formula:
SI = (P * R * T) / 100
Substituting the given values, we get:
SI = (124000 * 5 * 9) / 100
SI = 55800
Calculating Interest after Deducting Income Tax:
The interest earned at the end of every year is subjected to income tax at the rate of 19%. Therefore, the amount after deducting income tax can be calculated as:
Amount after Deducting Tax = SI - (SI * tax rate)
Substituting the given values, we get:
Amount after Deducting Tax = 55800 - (55800 * 0.19)
Amount after Deducting Tax = 55800 - 10602
Amount after Deducting Tax = 45198
Calculating Amount at the end of 9 years:
To find the amount at the end of 9 years, we need to consider the interest earned after deducting tax for each year and add it to the principal amount.
Amount = Principal + Total Interest earned after Deducting Tax
Total Interest earned after Deducting Tax = Amount after Deducting Tax * Time period
Substituting the values, we get:
Total Interest earned after Deducting Tax = 45198 * 9
Total Interest earned after Deducting Tax = 407782
Amount = Principal + Total Interest earned after Deducting Tax
Amount = 124000 + 407782
Amount = 531782
Therefore, the amount at the end of the 9th year is Rs. 531782, which is not present in the given options. Hence, none of the provided options are correct.