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₹1000 is invested at 10 percent simple interest. Check at the end of every year if the total interest amount is in A.P. If this is an A.P. then find interest amount after 20 years.

Print or Save**Sol.** Simple interest = \(P* R*N\over100\)

Simple interest after 1 year = \(1000 *10 *1\over100\) = **100**

Simple interest after 2 year = \(1000 *10 *2\over100\) = **200**

Simple interest after 3 year = \(1000*10 *3\over100\) =300

According to this the simple interest for 4, 5, 6 years will be 400,**500 , 600** , respectively.

From this d = **100 ** and a = **100**

Amount of simple interest after 20 years

t_{n}= a+(n-1)d

t_{20}= **100** +(20-1) **100**

t_{20}= **2000**

Amount of simple interest after 20 years is = ₹ **2000**