Rs 4800 becomes Rs 6000 in 4 years at a certain rate of compound interest. What will be the sum after 12 years ?

(A)
9375 Rs.
(B)
9000 Rs.
(C)
9175 Rs.
(D)
8175 Rs

Question

Rs 4800 becomes Rs 6000 in 4 years at a certain rate of
compound interest What will be the sum after 12 years ?

(A)

9375 Rs

(B)

9000 Rs

(C)

9175 Rs

(D)

8175 Rs

Ayush Jha · Accepted Answer

It is given that (Principal)Rs 4800 becomes (Amount)Rs 6000 in (time)4 years at a certain rate of compound interest(r).

So,

$A = P {(1 + \frac{r}{100})}^{T}$

Put the values to get,

$6000 = 4800 {(1 + \frac{r}{100})}^{4} {(1 + \frac{r}{100})}^{4} = \frac{5}{4}$

Cubing both the side we get,

${(1 + \frac{r}{100})}^{12} = \frac{125}{64}$ ........(1)

So, total amount after 12 years will be-

$A = 4800 {(1 + \frac{r}{100})}^{12}$

Put the value from equation (1) to get,

$A = 4800 (\frac{125}{64}) = R s . 9375$

So the answer is-

A)

9375