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Question

# $A$ borrows Rs.$800$ at the rate of $12%$ per annum simple interest and$B$ borrows Rs.$910$ at the rate of $10%$ per annum, simple interest. In how many years will their amounts of debt be equal?

A

$18years$

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B

$20years$

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C

$22years$

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D

$24years$

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Solution

## The correct option is C $22years$Let us consider after $t$year amount is equal.Consider an equation.$800+\frac{800×12×t}{100}=910+\frac{910×10×t}{100}$⇒ $800+96t=910+91t$⇒$5t=110$⇒ $t=22years$Hence After $22years$ the amount will be equal.

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