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A certain club made an investment of k dollars at a simple annual 28 Jan 2024, 10:42
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A certain club made an investment of k dollars at a simple annual interest rate of m percent. Which of the following is equivalent to the amount of interest, in dollars, the club would earn after n years?

A. kmn

B. 100kn/m

C. kn/(100m)

D. kmn/100

E. 100kmn


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A certain club made an investment of k dollars at a simple annual 28 Jan 2024, 10:44
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guddo
A certain club made an investment of k dollars at a simple annual interest rate of m percent. Which of the following is equivalent to the amount of interest, in dollars, the club would earn after n years?

A. kmn

B. 100kn/m

C. kn/(100m)

D. kmn/100

E. 100kmn


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2024-01-28_21-33-31.png
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In 1 year k dollars at a simple annual interest rate of m percent would earn k*m/100 dollars;
In 2 years k dollars at a simple annual interest rate of m percent would earn k*m/100*2 dollars;
In 3 years k dollars at a simple annual interest rate of m percent would earn k*m/100*3 dollars;
...
In n years k dollars at a simple annual interest rate of m percent would earn k*m/100*n = kmn/100 dollars.

Answer: D.
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A certain club made an investment of k dollars at a simple annual 28 Jan 2024, 10:45
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guddo
A certain club made an investment of k dollars at a simple annual interest rate of m percent. Which of the following is equivalent to the amount of interest, in dollars, the club would earn after n years?

A. kmn

B. 100kn/m

C. kn/(100m)

D. kmn/100

E. 100kmn


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Interest Earned = Principal * Time * Rate/100

Interest Earned = k * n * m/100

Option D
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A certain club made an investment of k dollars at a simple annual 11 Nov 2024, 23:50
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Bunuel, I keep making silly mistakes in percentages.

When I read m percent, i translated this to m/100 * 100... therefore I put k*m*n.

What is the gap in my understanding that I am missing?

I only shifted to the above BECAUSE in some other questions often if you don't multiply by the extra 100... it is wrong.
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A certain club made an investment of k dollars at a simple annual 12 Nov 2024, 00:04
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Bunuel, I keep making silly mistakes in percentages.

When I read m percent, i translated this to m/100 * 100... therefore I put k*m*n.

What is the gap in my understanding that I am missing?

I only shifted to the above BECAUSE in some other questions often if you don't multiply by the extra 100... it is wrong.
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Note that "per cent" from Latin literally means "per one hundred" or "out of one hundred", so for example, \(x\%\) is \(\frac{x}{100}\) (\(x\) per one hundred) and say \(5\%\) is \(\frac{5}{100} = 0.05\) (5 out of one hundred). On the other hand, we can write 0.05 as \(0.05*100\% = 5\%\) and say 20 as \(20*100\% = 2000\%\).

Basically, "%" symbol, or the word "percent", just means "per 100", or algebraically, "/100". Thus:

To drop "%" symbol, so to convert the percentage into a ratio, just divide by 100: \(m\% = \frac{m}{100}\). For example, \(10\%=\frac{10}{100}=\frac{1}{10}=0.1\) and \(400\%=\frac{400}{100}=4\).

To get "%" symbol, so to convert the ratio into a percentage, just multiply by 100%: \(n=n*100\%\) (100% is just 100/100 = 1, so we are essentially multiplying by 1). For example, \(0.4=0.4*100\%=40\%\) and \(15=15*100\%=1500\%\).

To sum up: \(x\%\) and \(\frac{x}{100}\) are just two different ways of writing the same thing: as a percentage and as a ratio.

4. Percents and Iterest




For more check:

Hope it helps.
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A certain club made an investment of k dollars at a simple annual 24 Nov 2025, 17:36
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