Question

A sum of money becomes 27 times in 45 years
at compound interest. In how many years it
becomes 9 times?​

Answer 1

Answer:

30 years

Step-by-step explanation:

let r be the interest of p.a

By using formula C.I, A=P ( 1+ r/100)^t

In first case t = 45 years and A=27P

putting this values in above formula we have,

27= (1 +r/ 100)^45

(1 +r /100) = 27^1/45 = (3)^3/45 = (3)^1/15____(2)

In second case we have A=9P and let t be the time

taken in years , putting values in (1) we have

Answer 2

Answer:

30 years

Step-by-step explanation:

27times for 45 years

9times ...?

3power3 for 45 yrs

3power2 ....?

3parts= 45years

then

1part =15yrs

2parts= 30years