In how much time (in years) does Rs. $500$ invested at the rate of $8 %$ per annum at simple interest amounts to Rs. $580$ .

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Solution

The correct option is C $2$
Let the rate $t$ $%$ per annum.
$\Rightarrow 580 = 500 [1 + \frac{8 t}{100}]$
$\Rightarrow \frac{580}{500} = 1 + \frac{8 t}{100}$
$\Rightarrow \frac{580}{500} - 1 = \frac{8 t}{100}$
$\Rightarrow \frac{80}{500} = \frac{8 t}{100}$
$\Rightarrow t = 2$ year

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In how much time (in years) does Rs. 500 invested at the rate of 8% per annum at simple interest amounts to Rs. 580.

The correct option is C 2Let the rate t % per annum.⇒580=500[1+8t100]⇒580500=1+8t100⇒580500−1=8t100⇒80500=8t100⇒t=2 year

In how much time (in years) does Rs. $500$ invested at the rate of $8 %$ per annum at simple interest amounts to Rs. $580$ .

The correct option is C $2$
Let the rate $t$ $%$ per annum.
$\Rightarrow 580 = 500 [1 + \frac{8 t}{100}]$
$\Rightarrow \frac{580}{500} = 1 + \frac{8 t}{100}$
$\Rightarrow \frac{580}{500} - 1 = \frac{8 t}{100}$
$\Rightarrow \frac{80}{500} = \frac{8 t}{100}$
$\Rightarrow t = 2$ year