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Q.

What is the compound interest on Rs.15000, if Mike took loan from a bank for 212 years at 8 Per annum, compounded quarterly?


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a

2000

b

3000

c

4000

d

5000 

answer is B.

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Detailed Solution

Given,
Amount A=15000 
Rate of interest r=8% per annum  
Time period n=212  Interest for one quarter,
rquater =14(8)=2
Interest is compounded  2124=10 times,
n212 years =10 Using the compound interest formula,
I=A1+r100n-A Now, put the values of A=15000,rquater =2 and n212 years =10 in the compound interest formula we have,
=150001+210010-15000  We can write the expansion,
1+r100n=1+nr100  when n<<100
Since 2 is very less as compared to 100 so we can write
 I=150001+210100-15000 
I =150001.2-15000 
I =18000-15000 
I=3000  So, compound interest occurs = Rs. 3000.
Hence, option 2 is correct.
 
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