Question

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 ?
A) Rs. 11828.80
B) Rs. 19828.80
C) Rs. 9828.80
D) Rs. 19328.80

Answer 1

11

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  ?

A) Rs. 11828.80B) Rs. 19828.80C) Rs. 9828.80D) Rs. 19328.80

Answer:   B) Rs. 19828.80 

Explanation:

Let the sum be Rs. P
P{ 1+81002- 1 } = 2828.80

 

It is in the form of  a2-b2 = a+ba-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

Answer 2

Hey mate ^_^

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Answer:
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Let the sum be Rs. x

$x{(1 + \frac{8}{100} )^{2} - 1} = 2828.80$

It is in the form of,

${a}^{2} + {b}^{2} = (a + b)(a - b)$

$x( \frac{8}{100} )( \frac{2 + 8}{100} ) = 2828.80$

$x = \frac{2828.80}{(0.08)(2.08)}$

$x = \frac{1360}{0.08}$

$x = 17000$

Principal + Interest = $Rs. 19828.80$

Therefore,

Correct option B) $Rs. 19828.80$

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