What is the compound interest on Rs. 8000 at the rate of 10% per annum compounded annually for 2 years? Options Rs. 1600 Rs. 1760 Rs. 1680 Rs. 1840
Question
What is the compound interest on Rs. 8000 at the rate of 10% per annum compounded annually for 2 years?
Options
Rs. 1600
Rs. 1760
Rs. 1680
Rs. 1840
Solution
The formula for compound interest is 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 amount of money).
- r is the annual interest rate (in decimal).
- n is the number of times that interest is compounded per year.
- t is the time the money is invested for in years.
Given in the problem:
- P = Rs. 8000
- r = 10% per annum = 0.10 (in decimal)
- n = 1 (since it is compounded annually)
- t = 2 years
Substitute these values into the formula:
A = 8000 (1 + 0.10/1)^(1*2) A = 8000 (1 + 0.10)^2 A = 8000 (1.10)^2 A = 8000 * 1.21 A = Rs. 9680
The compound interest is the difference between the final amount and the principal, which is Rs. 9680 - Rs. 8000 = Rs. 1680.
So, the compound interest on Rs. 8000 at the rate of 10% per annum compounded annually for 2 years is Rs. 1680.
Similar Questions
At the end of two years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.2000?Rs.620Rs.422Rs.420Rs.520
Find the Compound Interest on a sum of Rs.1000 at the rate of 10% per annum for 1.5 years wheninterest is compounded half-yearly
Find the difference between the simple and the compound interest on Rs. 5000 for 2 years at 9% per annum, compoundedannually
The rate of compound interest at which a sum of Rs. 8000 amounts to Rs. 8820 in 2 years, is:Question Description : 6%5%4%
Find the amount of Rs. 50000 after 2 years, compounded annually; the rate of interest being 8% p.a during the first yearand 9% p.a during the second year.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.