Question

Anyone can answer my question.

A certain sum of money doubles itself in 6 years. In how many years will it be three times at the rate of simple interest?

Answer 1

in 18 years ..................

Answer 2

Answer:

12 years

Step-by-step explanation:

Let the sum be x.

Simple Interest = x.

We know that SI = PTR/100

⇒ x = x * R * 6/100

⇒ 100x = 6Rx

⇒ 100/6 = R.

Now,

For the sum to become 3x, Simple Interest = 2x.

⇒ 2x = xRT/100

⇒ 2 = RT/100

⇒ 2 = [(100/6)* T/[100]

⇒ 2 = T/6

⇒ T = 12 years.

Therefore, Time = 12 years.