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 ?

Q: 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 ?

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

Rs. 11828.80
Rs. 19828.80
Rs. 9828.80
Rs. 19328.80

Correct Answer: Rs. 19828.80

Explanation:

Let the sum be Rs. P
P{ $1 + \frac{8}{100} 2$ - 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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