Question

find the number of years for which the simple intrest on a sum of money is 1/9 th of the principal and the number of years is equal to the rate of intrest percent per annum.​

Answer 1

Answer:

Time period is 10/3 years or 10 years and 4 months.

Step-by-step explanation:

Let P = principal; R = rate of interest (% per year); T = number of years

SI = P*R*T/100

We are given that

SI = 1/9*P and T = R

Therefore,

P/9 = P*T*T/100          [Because T = R]

1/9 = T^2/100

T^2 = 100/9

T = 10/3           [Time period cannot be negative so -10/3 is not admissible]

The number of years = 10/3 years = 10 years and 4 months