A sum of money will double itself in 4 years at simple interest with a yearly rate of ___________ %.Choices:- 20 25 30 35
Question
A sum of money will double itself in 4 years at simple interest with a yearly rate of ___________ %.Choices:- 20 25 30 35
Solution 1
The formula for simple interest is I = PRT, where I is the interest, P is the principal amount (the initial amount of money), R is the rate of interest, and T is the time in years.
In this case, the sum of money doubles itself in 4 years. This means that the interest (I) is equal to the principal amount (P). So, we can rewrite the formula as P = PRT.
We can simplify this to 1 = RT, since P/P = 1.
We know that T = 4 years, so we can substitute this into the equation to get 1 = R*4.
Solving for R, we get R = 1/4 = 0.25.
To convert this to a percentage, we multiply by 100, so R = 25%.
Therefore, the yearly rate of interest is 25%.
Solution 2
The formula for simple interest is I = PRT, where I is the interest, P is the principal amount (the initial amount of money), R is the rate of interest, and T is the time in years.
In this case, the sum of money doubles itself in 4 years, so the interest (I) is equal to the principal (P).
So, we can set up the equation as follows:
P = P * R * 4
Solving for R (the rate of interest), we get:
R = 1 / 4 = 0.25
Therefore, the yearly rate of interest is 25%. So, the correct choice is 25.
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