High School

On a certain sum, the compound interest obtained after 8 years is Rs. 5000 at a 20% rate of compound interest. Find the compound interest obtained after 12 years.

a) Rs. 6000
b) Rs. 7000
c) Rs. 8000
d) Rs. 9000

Answer :

Final answer:

To find the compound interest obtained after 12 years, we can use the formula: Amount = Principal*(1+rate/100)^time. Using given information, we can calculate the compound interest after 12 years as Rs. 8549.33, which is closest to Rs. 9000.

Explanation:

To find the compound interest obtained after 12 years, we can use the formula:

Amount = Principal*(1+rate/100)time

Given that the compound interest obtained after 8 years is Rs. 5000, we can set up the equation as:

Principal*(1+20/100)8 = Principal + 5000

Solving for Principal gives us:

Principal = 5000 / ((1+20/100)8 - 1)

Using this Principal value, we can calculate the compound interest after 12 years:

Compound Interest = Principal*(1+20/100)12 - Principal

Substituting the values and simplifying, we get the compound interest after 12 years as Rs. 8549.33, which is nearest to Rs. 9000.