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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.

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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
         tn= a+(n-1)d

       t20= 100 +(20-1) 100

      t20= 2000

      Amount of simple interest after 20 years is = ₹ 2000

Arithmetic Progression September 28 , 2018 0 Comments 66 views