bharathi borrows an amount of Rs 12500 at 12percentage per annum for 3years at a simple interest and Madhuri borrows the same amount for the same time period at 10 percent per annum compounded anullay .who pays more interes and by how much?
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8th
Maths
Comparing Quantities
Compound Interest
Bharathi borrows an amount ...
MATHS
Bharathi borrows an amount of Rs.12500 at 12% per annum for 3 years at a simple interest and Madhuri borrows the same amount for the same time period at 10% per annum, compounded annually. Who pays more interest and by how much
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ANSWER
For Bharathi
P=12500,R=12%,T=3
SI=
100
PRT
=
100
(12500×12×3)
Interest =44500
For Madhuri
P and T are same but R=10% compounded annually
CI=P(1+
100
R
)
T
−P
=12500(1+
100
10
)
3
−12500
CI=16637.5−12500
Interest =4137.5
Comparing the interest paid by Bharathi and Madhuri we can see that Bharathi has to pay more and it is equal to the difference(4500−4137.5)=Rs.362.5
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