Question

the difference between compound and simple interest on a certain sum at 20/3% p.a. for 3 years is 46. Find the sum

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Answer 1

Heya,

Let the sum be x

In simple interest,
P=x,R=20/3%,T=3 year,
I=PRT/100=x*20*3/3*100=x/5

In compound interest,

P=x,R=20/3%,T/n=3 year,
A=P(1+r/100)^n=x(1+20/300)^3=x(320/300)^3
=32768x/27000

C.I.=A-P=32768x/27000-x=5768x/27000

C.I.-S.I.=46
5768x/27000-x/5=46
5768x/27000-5400x/27000=46
368x/27000=46

x= ₹3375

#hope it helps...