Question

A sum of money becomes four fold in 12 years at
simple Interest. How many times will it become
in 16 years?​

Answer 1

Answer:

5.33

Step-by-step explanation:

in 12 years money becomes 4 fold

in 1 year money becomes 4/12= 1/3 fold

in 16 years money becomes 1/3 × 16 = 5.33

Answer 2

It will become 5 times in 16 years.

Step-by-step explanation:

Since we have given that

Let P be the principal.

In 12 years, sum becomes four fold i.e. 4P.

So, simple interest would be

4P-P=3P

So, it becomes,

$3P=\dfrac{P\times 12\times R}{100}\\\\300=12R\\\\\dfrac{300}{12}=R\\\\25\%=R$

Now, in 16 years, simple interest becomes,

$SI=\dfrac{P\times 25\times 16}{100}\\\\SI=4P$

Amount becomes in 16 years is given by

$Sum+Simple interest\\\\=P+4P\\\\=5P$

Hence, it will become 5 times in 16 years.

# learn more:

A sum of money doubles itself in 7 years. in how many years it becomes four fold?

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