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The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 8% p.a. was Rs.2828.80. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned ?

Correct Answer: Rs. 19828.80

Explanation:

Let the sum be Rs. P
P{ 1 + 8 100 2 - 1 } = 2828.80


 


It is in the form of   a 2 - b 2   =   a + b a - b


 


P(8/100)(2 + 8/100) = 2828.80


 


P = 2828.80 / (0.08)(2.08)


 


= 1360/0.08 = 17000


 


Principal + Interest = Rs. 19828.80


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