fabina borrows Rs 12500 at 12% per annum for 3 years at simple interest and Radha borrows the same period at 10% per annum, compounded annually.who pays more interest and by how much?
Answers
Answer:Fabina,₹362.5
Step-by-step explanation:
Interest for Radha=P*(1+R/100)³ -P
=12500*110*110*110/100*100*100-12500
=12500*11*11*11/10*10*10-12500
=12.5*11*11*11-12500
=8708-12500
=₹16,637.5-₹12500
=₹4,137.5
Interest for fabina=12500*12*3/100
=125*12*3
=₹4,500
Fabina paid more by=4500-4137.5
=₹362.5
Fabina borrows principle= Rs12500
at rate= 12%
time=3years
S.I =p×r×t/100
S.I= 12500×12×3/100
S.I=Rs 4500
Amount =P+S.I.
Amount=12500+4500
Rs17000
Radha principle =Rs12500
Rate=10%
Time =3 years
Compounded annually
Amount =(1+r/100)³×P
Amount =(1+10/100)³×12500
Amount = Rs 16637.50
Interest =Amount-Principle
Interest =16637.50-12500
Interest =4137.50
therefore we can see that Fabina has to pay more interest as compared to Radha
INTEREST paid more by Fabina
=Rs 4500-4137.50
=Rs 362.50