A man borrowed Rs.400000 from a cooperative for 3 years at the rate of 12.5%p.a. annual compound interest but at the end of 2 years, he paid only half of the principal. how much will he need to pay to clear the debt at the end of the next two years at the same rate with semi annual compound interest? find the total interest paid
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Answer:
A man borrowed Rs.25000 from a bank at 20% compound interest. At the end of every year he paid 8000. At the end of the third year, he wanted to clear the loan. How much should he pay to clear the loan?
A
12400
B
16040
C
20800
D
22080
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Correct option is
D
22080
Compound Interest is nothing but Simple interest per year with the amount at the end of every year being the principal for the next year.
For the first year ,
Simple Interest SI=
100
PNR
So, SI=
100
25000×1×20
=Rs5000
So, Amount A=25000+5000=Rs30000
For the second year ,
P =30000−8000=Rs22000
So, SI=
100
22000×1×20
=Rs4400
So, Amount A=22000+4400=Rs26400
For the third year ,
P =26400−8000=Rs18400
So, SI=
100
18400×1×20
=Rs3680
So, Amount A=18400+3680=Rs22080
So, Rs22080 has to paid off to clear the loan.
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