the difference between the compound interest and the simple interest on a sum of money for 1.5years at 12%per annum is 150.calculate the amount.
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let assume amount is x.
for 1.5 years simple interest =amount*interest rate*time/100= x*12*1.5/100=0.18x
for compound interest
after 1 year total amount (including principle and interest) = x* (1+ interest reate/100)
= x*(1+12/100)=x*(1+0.12)=1.12x
after next 6 month, total amount= 1.12x * (1+ interest rate for six month/100)
=1.12x* (1+6/100)= 1.12x*(1+0.06)=1.12x*1.06= 1.1872x
total compound interest = 1.1872x-x=0.1872x
difference on compound interest and simple interest = 0.1872x-0.18x
150= 0.0072x
x= 150/0.0072=20833.33
amount = 20833.33
Correct hen bro
let assume amount is x.
for 1.5 years simple interest =amount*interest rate*time/100= x*12*1.5/100=0.18x
for compound interest
after 1 year total amount (including principle and interest) = x* (1+ interest reate/100)
= x*(1+12/100)=x*(1+0.12)=1.12x
after next 6 month, total amount= 1.12x * (1+ interest rate for six month/100)
=1.12x* (1+6/100)= 1.12x*(1+0.06)=1.12x*1.06= 1.1872x
total compound interest = 1.1872x-x=0.1872x
difference on compound interest and simple interest = 0.1872x-0.18x
150= 0.0072x
x= 150/0.0072=20833.33
amount = 20833.33
Correct hen bro
khan788:
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