In how many years will a sum of money triple itself at 25 % per year simple interest?

Question

In how many years will a sum of money triple itself at 25 % per year simple interest? (A) 16 years (B) 4 years (C) 12 years (D) 8 years

Tardigrade Admin · Accepted Answer

Let sum be Rs. x and amount be Rs. 3 x Simple interest = Rs. (3 x-x)= Rs. 2 x Let the time be ' mathrmT ' years Then, mathrmT=(100 × mathrmS . mathrmT ./ mathrmP × mathrmR)=(100 × 2 x/x × 25)=8 years

Q. In how many years will a sum of money triple itself at $25%$ per year simple interest?

16 years

4 years

12 years

8 years

Let sum be Rs. $x$ and amount be Rs. $3 x$
Simple interest $=$ Rs. $(3 x - x) =$ Rs. $2 x$
Let the time be ' $T$ ' years
Then, $T = \frac{100 \times S . T .}{P \times R} = \frac{100 \times 2 x}{x \times 25} = 8$ years

Q. In how many years will a sum of money triple itself at 25% per year simple interest?