A sum of money amounts 10000 after 5 years and 15000 after 8 years at the same rate of simple interest. Find the rate of interest per annum .
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main balance of 8 yrs+interest=15000
main balance of 5 yrs+interest=10000
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(-)main balance of 3 yrs= 5000
then main balance of 5 years=5000×5/3
then,main balance (p)=5000×5
rate of interest (r)=s%
time (t)=5 yrs
interest =5000×5/3×s×5/100=1250s/3
then,5000+1250s/3=10000
or,1250s/3=5000
or,s=5000/1250×3=4×3=12
the rate of interest is 12%
main balance of 5 yrs+interest=10000
______________________________________
(-)main balance of 3 yrs= 5000
then main balance of 5 years=5000×5/3
then,main balance (p)=5000×5
rate of interest (r)=s%
time (t)=5 yrs
interest =5000×5/3×s×5/100=1250s/3
then,5000+1250s/3=10000
or,1250s/3=5000
or,s=5000/1250×3=4×3=12
the rate of interest is 12%
tipstech951:
My book says the answer is 100%
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