Answer:
In 24 years.
Step-by-step explanation:
Let the sum of money be 100 which amounts to 200 ( doubles itself ) in 6 years time. Interest on 100rs. Is 100. Putting the following in simple interest formula. You get :
[tex]100=\dfrac{100\times R\times 6}{100}\\\\R=\dfrac{100}{6}[/tex]
Now when 100 will become 5 times i.e 500 the interest will be 400rs.
Putting in simple interest formula:
[tex]400=\dfrac{\dfrac{100\times 100}{6T}}{100}\\\\T=\dfrac{2400}{100}\\\\=24\ yrs[/tex]
So, in 24 years, it will become 5 times.
