Question

the difference between the CI and SI on a certain sum at the rate of 15% p.a for 3 years is ₹283.50. Find the sum

Answer 1

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let the sum be P 
SI = PTR/100=P*3*15/100=45P/100=9P/20
CI = A-P=P (1+R/100)^n-P=P (1+15/100)^3-P
=P (115/100)^3-P
=P (23/20)^3-P
So by question CI-SI = 283.50
or P ((23/20)^3-1)-9P/20=P ((23/20)^3-1-9/20)=283.50 
or P= 283.50/((23/20)^3-29/20)
or P = 4000

Answer 2

P= 4000 is the answer..