the simple interest on a sum of money for 2 years at 4% is 450.find compound interest at the same rate for 1 year if the interest is reckoned half yearly.
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simple interest=ptr/100 (p is principal amount,t is time,r is rate of interest per annum
450=p*2*4/100
450*100/8=5625 is amount
compound amount with interest= p(1+r)^n ( p is principal,r is rate of interest per annum ,n is no.of periods
compounded half yearly so 2 periods
and R is divided by 2
Compounded amount=5625(1+((4/100)/2)^2
=5625(1+(4/200))^2
=5625(1+0.02)^2
=5625(1.02)^2
=5625(1.0404)
=5852.25
compound interest= compounded amount-principal amount
CI=5852.25-5625
=227.25 is answer
450=p*2*4/100
450*100/8=5625 is amount
compound amount with interest= p(1+r)^n ( p is principal,r is rate of interest per annum ,n is no.of periods
compounded half yearly so 2 periods
and R is divided by 2
Compounded amount=5625(1+((4/100)/2)^2
=5625(1+(4/200))^2
=5625(1+0.02)^2
=5625(1.02)^2
=5625(1.0404)
=5852.25
compound interest= compounded amount-principal amount
CI=5852.25-5625
=227.25 is answer
RohitSaketi:
bro edited that sum. in one step i did not type 2 . now check properly
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