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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 ?
Rs. 17828.80
Rs. 18828.80
Rs. 20828.80
Rs. 19828.80
Let the sum be Rs. P P{ (1+8100)2 - 1 } = 2828.80
It is in the form of a2−b2 = (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
Hence, option 4 is the correct answer.
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