The simple interest on any amount is 2/9 of principal. If number of year is twice the rate of interest then for how many years that amount was given
Answers
If a number of years are twice the rate of interest then the amount was given for 6 years.
Step-by-step explanation:
Let the principal be denoted as “P” and the no. of years be denoted as “T”.
It is given that,
The simple interest on any amount is 2/9th of the principal
i.e., S.I. = * P ….. (i)
Also, the no. of years is twice the rate of interest (R),
i.e., T = 2 * R
⇒ R = …. (ii)
The formula for the Simple Interest is given by,
S.I. =
Substituting the values from (i) & (ii) in the formula, we get
* P = [P * *T] / 100
⇒ = [ *T] / 100
⇒ T² =
Taking square roots on both sides
⇒ T = years
⇒ T = 6 years
Thus, the amount was given for 6 years.
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