Question

A sum of money lent at simple interest amounts to rupees 4745 in 3 years and to rupees 5475 in 5 years . Find the sum and the rate per cent per annum

Answer 1

let sum is p and rate is r
SL=4745-p in 3 years _______(1)
SI=55475_p in 5 year _______(2)

subtracting (1) and (2)
Sl =730 in 2 years
hence 1 year SI = 365Rs
hence 3 year SI= 3x365 = 1095Rs

now put SI in equation first 1095= 4745-p

p=4745-1095=3650 Rs hence sum = 3650 Rs

now,
SI=p x r x t/1001095=3650 x r x 3/100

r= 10%


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Answer 2

let sum is p and rate is r 
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%

Hope this helps :)