Question

Simple interest on a sum of money is 9/16 of the sum it the rate is 9/2 per annum find the time

Answer 1

Hey sup!

As per the question,

Let principal=x.
SI= 9/16 of x= 9x/16.

SI= (p*r*t)/100.
=>9x/16=(x*9/2*t)/*100.
=>9x/16=9xt/200.
=>9/16=9t/200.
=>1/16=t/200.
=>16t=200.
=>t=200/16.
=>t=12 8/16 or 12 1/2 years.

So the time is 12 years 6months.
Hope it helps.

Answer 2

Answer:

12.5 years

Step-by-step explanation:

Let the principal be x

We are given that Simple interest on a sum of money is 9/16 of the sum

So, Simple interest = $\frac{9}{16}x$

rate of interest = 9/2 %

Let time be T

Formula : $SI = \frac {P \times R \times T}{100}$

$\frac{9}{16}x= \frac {x \times 9 \times T}{200}$

$\frac{9 \times 200 \times x}{16 \times x \times 9 }=T$

$12.5=T$

Hence time is 12.5 years .