Question

a sum of rs 25,000 is in invested at 8percent rate compounded semei annually and ammount rs 28,121.60. compute the time period​

Answer 1

Step-by-step explanation:

Since we have given that

Principal amount (P) = 25000

Rate of interest = 8% compounded semi-annually

Amount = 28121.60

As we know the formula for "Compound Interest for semi-annually":

semi-annually":

$28121.60 = 25000(1 + \frac{8}{200} )^{2n}$

since,

$A = P(1 + \frac{r}{200} )^{2n}$

Answer 2

Time period of investment = 1.5 years.

Explanation:

Compound interest formula,

A = P (1 + r/n)^nt

P = 25,000

A = 28121.60

r = 8% = 8/100

n= 2

t = ?

Substituting the values in the formula, we get:

28121.60 = 25000 (1 + 8 / 200) ^2t

28121.60 / 25000 = (1 + 1 / 25) ^2t

28121.60 / 25000 = (26 / 25) ^2t

1.124 = (676 / 625) ^t

Solving we get t = 1.5 approximately.

Time period of investment = 1.5 years.