Question

the principal amount triples itself at 8% per annum over a certain time.find the number of years

Answer 1

Acc. to question,

let the some of money be x

then amount will be 3x

rate = 8%

let time be t

then, A = P + I

or, 3x = x + (x * 8 * t)/100

or, 2x = 8xt/100

or, 8xt = 200x

or, t = 200x/8x

or, t  = 25yrs (Ans)

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abhi178 

Let sum of money is P 
after T years , sum of money will be 3P as according to question, 
rate per annum = 8 % 

we know, 
SI = P × R × T /100 
= P × 8 × T/100 

final sum of money = simple interest + initial sum of money 
3P = SI + P 
2P = P × 8 × T/100
2 = 8T/100 
T = 200/8 = 25 

hence, after 25 years sum of money will be triple itself .

Answer 2

The rate of percent R is given by,

r =100 * (3-1) / 8

 =100*2/8

 =25%