# In How Much Time, Amount Equal to the Principal? If

If the simple interest for 6 years be equal to 30 % of the principal, it will be equal to the principal after .

- 10 years
- 20 years
- 22 years
- 30 years

**Answer: (2) 20 years**

**Explanation:-**

Let the principal be P and the rate of interest be R

**Formula-**

**Simple Interest = P x R x T/100**

**Where, P = principal , R = rate, & T = time.**

According to the question,

30 P /100 = P x R x 6/100

30 P = P x R x 6

30 = R x 6

R = 30 /6

R = 5 %

Then, P = P x 5 x T/100

T = 100/5

T = 20 years

Hence, the answer is (2) 20 years.