Question

a sum becomes five times in thirty two years at a simple interest then rate of interest is?
explain content
will mark brainliest

Answer 1

Answer :
Given  : If a sum of money amounts to Rs 2200 in 5 years

Let sum of money =  x

And as given : The interest is 38 of the principal . So we get

x ( 38 ) = 2200 - x

3x  =  17600 - 8x

11x  =  17600

x   =  1600
So, Sum of money  =  Rs . 1600
Then interest =  2200 -  1600 =  Rs . 600

Let Rate of interest  = r  %

And we know Simple interest  = P × r × t100 , So we get

⇒1600 × r × 5100 =  600⇒16× r × 5100 =  6⇒80r  =  600⇒r = 60080 = 152 =  712%
So,

Answer 2

Given that Sum becomes five times.

Let P = 100, Then, A = 500, Time t = 32 years.

We know that I = A - P

⇒ 500 - 100

⇒ 400.

Now,

We know that SI = PTR/100

⇒ 400 = 100 * 32 * R/100

⇒ 40000 = 3200 * R

⇒ R = 12.5%.

Therefore, Rate of interest = 12.5%.

Hope this helps!