Question

The compound interest
on a certain sum in 6
years is 4000 and compound interest of same
sum in 12 years become 9600. Then find the
sum?
?
(A) 12000
(B) 38000
(C) 10000
(D) 9600​

Answer 1

Answer:

The compound interest

on a certain sum in 6

years is 4000 and compound interest of same

sum in 12 years become 9600. Then find the

sum?

?

(A) 12000

(B) 38000

(C) 10000

(D) 9600

Answer 2

Answer:

The sum is Rs.$9600$.

Step-by-step explanation:

It is given that the compound interest on a certain sum in six years is Rs.$4000$.

The compound interest of same sum in 1twelve years become Rs.$9600$.

We know that

For compound interest

$A=P(1+r/100)^{6}$

As per the question

$4000=P(1+r/100)^{6}$

and

$9600=P(1+r/100)^{12}$

Dividing, we get

$\frac{1000}{2400} =(1+r/100)^{6}$

Using this in first equation

$4000=\frac{5}{12} P$

$P=4000*12/5$

$P=9600$

The sum is $Rs.9600$

#SPJ2