A certain sum of money invested at some rate of simple interest triple itself in 4 years. In how many years the principal will become 9 times of itself at the same rate?
When the principal is in simple interest, the interest for every year will be same. In 4 years the amount becomes 3 times the principal.
A = P + I
3P = P + I
⇒ I = 2P
The interest is 2 times the principal in 4 years or equal to principal in 2 years. The interest will be equal to P in 2 years.
So interest will be 8P in 16 years.
Amount after 16 years = P + 8P = 9P
Hence, the answer is 16 years.