A certain sum is to be invested for a certain time at simple interest at $15$ % p.a., such that there is an increase of $75$ % in the sum. Find the time.

4

years

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5

years

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6

years

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7

years

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Solution

The correct option is C $5$ years
Let For first year rate of interest be $15 % p . a .$
$\Rightarrow$ Then, let after $x y e a r$ rate of interest increase to $75 %$ .
$∴$ $x = \frac{75}{15} = 5 y e a r s$

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