The formula for the compound interest is -
\(P ( 1 + \frac{R}{100} )^T\)
Using this formula, we get the total amount
Here, P = 12000, R = R and T = 5.
We are given that after 5 years, the principal doubles so the total amount = 24000
\(24000 = 12000 \times ( 1 + \frac{R}{100} )^5\)
\(2 = ( 1 + \frac{R}{100} )^5\)
Now, we need to calculate the amount after 20 years.
So, Amount = \(12000 \times ( 1 + \frac{R}{100} )^{20}\)
As we know the value of \(( 1 + \frac{R}{100} )^5\), so breaking \(20 = 5 \times 4\)
= \(12000 \times (( 1 + \frac{R}{100} )^5)^4\)
= \(12000 \times (2)^4\)
= \(12000 \times 16\)
= 192000
OA,Dkaran12345
A sum of RS 12,000 deposited at compound interest becomes double after 5 years. After 20 years, it will become?
(A) RS 48,000
(B) RS 96,000
(C) RS 24,000
(D) RS 1,92,000
(E) RS 1,00,000