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 .
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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
hope it helps, please mark it as brainliest
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