Mohit Anand borrows a certain sum of money from the AMS bank at 10% pe...
Mohit Anand borrows a certain sum of money from the mindworkzz bank at 10% per annum at compound interest. The entire debt is discharged in full by mohit anand on payment of two equal amounts of ` 1000 each, one at the end of the first year and the other at the end of the second year.
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Mohit Anand borrows a certain sum of money from the AMS bank at 10% pe...
Calculating Compound Interest
Compound interest is calculated using the formula:
A = P(1 + r/n)^(nt)
where:
- A is the amount of money accumulated after n years, including interest.
- P is the principal amount (the initial sum of money borrowed).
- r is the annual interest rate (in decimal form).
- n is the number of times that interest is compounded per year.
- t is the number of years the money is borrowed for.
Given Information
Let's assume Mohit Anand borrowed Rs. 10,000 from AMS bank at an annual interest rate of 10% compounded annually. The loan term is 2 years.
Calculating Compound Interest
Using the formula mentioned earlier, we can calculate the amount Mohit will have to repay after 2 years:
A = 10000(1 + 0.10/1)^(1*2)
A = 10000(1 + 0.10)^2
A = 10000(1.10)^2
A = 10000(1.21)
A = 12100
Calculating the Compound Interest
The compound interest can be calculated by subtracting the principal amount from the total amount:
Compound Interest = 12100 - 10000
Compound Interest = 2100
Therefore, Mohit Anand will have to repay Rs. 12,100 to the AMS bank after 2 years, including Rs. 2,100 as compound interest.
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