Question 30

If a sum of money doubles itself in 4 years at a certain rate, when will it become 16 time itself at the same rate of Simple Interest?

Solution

Let say, principal amount=P and rate of interest= r%.

According to question,

$$P\left(1+\frac{4r}{100}\right)=2P.$$

or,$$1+\frac{4r}{100}=2.$$

or,$$\frac{4r}{100}=1.$$

or,$$r=25.$$

Let say ,it become 16 times in x years.

So,

$$P\left(1+\frac{25x}{100}\right)=16P.$$

or,$$1+\frac{25x}{100}=16.$$

or,$$\frac{25x}{100}=15.$$

or,$$x=60.$$

D is correct choice.


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