On What Sum Of Money, Interest Amounts To Rupee 75 For 3 Years At The Rate Of 5% per Annum? Explain.
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Data-:Accrued amount, A = Rs. 2811.90, rate of interests, R1=3%,R2=4%,R3=5%.
If it is considered as Simple Interest.
A=Psi+PsiR1%+PsiR2%+PsiR3%
Putting the known values, we have.
A=Psi+Psi3%+Psi4%+Psi5%
A=P(1+3%+4%+5%)
Psi=A(1+3%+4%+5%)
Psi=100A(112%),∵1=100%
Psi=(100×2811.90)112
Psi=2510.625
For compound Interest
A=Pci(1+R%)T
A1=Pci(1+R1%)
A2=A1(1+R2%)
A3=A2(1+R3%)
Substituting the relations of A_1,and A_2,we have
A3=A1(1+R2%)(1+R3%)
A3=P(1+R1%)(1+R2%)(1+R3%)
Pci=A3(1+R1%)(1+R2%)(1+R3%)
Pci=2811.90(1+3%)(1+4%)(1+5%)
Pci=2811.90(1.03×1.04×1.05)
Pci=2500
Step-by-step explanation:
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