Question

the amount on a certain sum is 26/25 of the sum.find the time in years if the rate is numerically equal to the time??

Answer 1

Answer:

n= 2 years

Step-by-step explanation:

Formula used:

$Simple\:interest=\frac{P\:n\:r}{100}$

P -> Principal

n -> number of years

r -> rate of interest

Given: n=r

Now,

Amount = Principal + Interest

$\frac{26P}{25}=P+\frac{P\:n\:r}{100}$

$P+\frac{P}{25}=P+\frac{P\:r\:r}{100}$

$\frac{P}{25}=\frac{P\:r^2}{100}$

$\frac{1}{25}=\frac{r^2}{100}$

$r^2=\frac{100}{25}$

$r^2=4$

$r=2\:%$

$\implies\:n=2\:years$