15 Vikram borrowed 20000 from a bank at 10% per annum simple interest. He lent it
to his friend Venkat at the same rate but compounded annually. Find his gain after
5/2 years.
interest If he renays 1200 at the end of each
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4
Answer:
410
Step-by-step explanation:
First case
Principal= 20000
Rate = 10% p.a
Period = 2
2
1
=5/2years
We know that
Simple interest = Prt/100
Substituting the values
=(20000×10×5)/(100×2)
= 5000
Second case -
Principal = 20000
Rate = 10% p.a.
Period = 2
2
1
years at compound interest
We know that
Amount = P(1+r/100)
n
Substituting the values
=20000(1+10/100)
2
(1+10/(2×100))
2
By further calculation
= 20000×11/10×11/10×21/20
= 25410
Here
Compound interest = A - P
Substituting the values
= 25410−20000
= 5410
So his gain after 2 years = CI - SI
We get
= 5410−5000
= 410
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