Question

Find the rate percent per annum of principal = 196 , amount = 225 , time = 2 years

Answer 1

Given :

Principal = 196

Amount = 225

Time = 2 years


Finding Rate percentage -


$a = p(1 + r) ^{2}$


$225 = 196(1 + r)^{2}$


$\dfrac{225}{196} = (1 + r)^{2}$


$1 + r = \sqrt{ \dfrac{225}{196} }$


$1 + r = \dfrac{15}{14}$


$r = \dfrac{15}{14} - 1$



$r = \dfrac{15 - 14}{14} = \dfrac{1}{14}$



$r = \dfrac{1}{14} \times 100 = 7.14\%$


Rate percentage = 7.14 %

Answer 2

Answer :

Principal = 196

Amount = 225

Time = 2 years

Simple Interest = Amount - Principal

= 225 - 196

= 29

R = S.I. x100 / P x T

. = 29 x 100 / 196 x 2

. = 29 x. 25 / 98

. = 725/98

= 7/ 31

. 98 %