Question

A sum of money lent at simple interest amount to R 4745 in 3 years and R 5475 in 5 years. Find the sum and the reat percent per annum.

Answer 1

Answer:

r=10%

Step-by-step explanation:

Let sum is p and rate is r

so,

SI=4745-p in 3 years -----------(1)

SI=5475 -p in 5 years ---------(2)

subtracting (2) to (1)

SI=730 in 2 years

hence 1 year SI = 365 Rs

hence 3 years Si=3 x 365= 1095 Rs

now put Si in equation (1)

1095=4745-p

p=4745-1095=3650 Rs

hence sum =3650 Rs

now

Si=p x r x t/100

1095=3650 x r x 3/100

r=10%