Question

The difference between the c.i. and s.i. on certain sum for 2 years at 6%per annum is rupees 90 . Find the sum .

Answer 1

c.i-s.i=₹90

time=2 years

rate=6%p.a.

let sum=₹P

S.I.=(PRT)/100=(P×6×2)/100=₹3P/25

=>C.I.=A-P=P(1+R/100)raised to the power n-P

=P(1+6/100)²-P

=P(1+3/50)²-P

=P(50/50+3/50)²-P

=P(53/50)²-P

=P(2809/2500)-P

=2809P/2500-P

=(2809P-2500P)/2500

=₹309P/2500

A.T.Q: C.I.-S.I.=90

=>309P/2500-3P/25=90

=>(309P-300P)/2500=90

=>9P/2500=90

=>9P=90×2500

=>9P=225000

=>P=225000/9

=>P=25000

Sum=₹25,000

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