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Question

Rs1000 is invested at 10 percent simple interest. Check at the end of every year if the total interest amount in A.P. If this is an A.P. then find interest amount after 20 years.

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Solution

It is given that,
Principle (P)=Rs 1000
Rate (R)=10%
Simple interest S.I=PRT100S.I for 1 year =1000×10×1100=100S.I for 2 year =1000×10×2100=200S.I for 3 year =1000×10×3100=300
Hence, the total interest amount is in A.P. i.e 100,200,300,..
Here,
a=100
d=100
Now,
an=a+(n1)d
a20=a+(201)d
=100+19(100)
=100+1900
2000
Hence, the interest amount after 20 years is Rs. 2000.

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