How do you find 75% of something?

Find half, then find half of that to then add them together.

Find twice, then find 10% of that to then add them together.

Find the root, then find half of that to then add them together.

Find twice, then find half of that to then add them together.

How do you find 5% of something?

You divide by 10 then you halve it.

You divide by 5 then you halve it.

You divide by 20 then you halve it.

You divide by 10 then you double it.

How do you find 20% of something?

You divide by 10 then double it.

You divide by 20 then double it.

You divide by 15 then double it.

You divide by 5 then double it.

What's a percentage point change?

It's the difference of 2 percentage figures.

It's the addition of 2 percentage figures.

It's the average of 2 percentage figures.

It's the difference of 4 percentage figures.

What should happen if A is x% more or less than B?

Then B is 100*/(100+x) % less or more than A.

Then B is 100*/(10+x) % less or more than A.

Then B is 10*/(100+x) % less or more than A.

Then A is 100*/(100+x) % less or more than b.

What should happen if the price of an item goes up or down by x%?

Then the quantity consumed should be reduced by 100 x/ (100+x)%

Then the quantity consumed should be raised by 100 x/ (100+x)%

Then the quantity consumed should be reduced by 10 x/ (100+x)%

Then the quantity consumed should be reduced by 100 x/ (10+x)%

Why are percentages used?

For understanding the financial aspects of everyday life.

For understanding the stock market.

For understanding fluctuations.

Quiz About Shortcut Percentage

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| By Anouchka

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Quizzes Created: 599 | Total Attempts: 486,395

Questions: 10 | Attempts: 165 | Updated: Mar 22, 2023

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Percentages are part of our lives, as we use them in our everyday language. To make things even complicated, we also have to stay updated with their fluctuations, which is not always easy. So, if you too are used to percentages more than often, what trick do you use? Take our quiz and confirm how much you know about them.

Questions and Answers

1.

How do you find 75% of something?
- A.
  
  Find twice, then find 10% of that to then add them together.
- B.
  
  Find the root, then find half of that to then add them together.
- C.
  
  Find half, then find half of that to then add them together.
- D.
  
  Find twice, then find half of that to then add them together.
Correct Answer
C. Find half, then find half of that to then add them together.

Explanation
To find 75% of something, you can find half of the original value and then find half of that. Adding these two values together will give you the result. This method is equivalent to finding 50% (half) and then finding 25% (half of the half), which adds up to 75%.

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2.

How do you find 5% of something?
- A.
  
  You divide by 10 then you halve it.
- B.
  
  You divide by 5 then you halve it.
- C.
  
  You divide by 20 then you halve it.
- D.
  
  You divide by 10 then you double it.
Correct Answer
A. You divide by 10 then you halve it.

Explanation
To find 5% of something, you divide the number by 10 to get 10%, and then you halve it to find 5%. This is because 10% is half of 20%, so by dividing by 10 and halving the result, you are effectively finding 5% of the original number.

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3.

How do you find 20% of something?
- A.
  
  You divide by 20 then double it.
- B.
  
  You divide by 15 then double it.
- C.
  
  You divide by 5 then double it.
- D.
  
  You divide by 10 then double it.
Correct Answer
D. You divide by 10 then double it.

Explanation
To find 20% of something, you divide the number by 10 and then double it. This is because dividing by 10 gives you 10% of the number, and then doubling it gives you 20% of the number.

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4.

How do you calculate p% of y?
- A.
  
  (p/5) * y = ( p * y) /100
- B.
  
  (p/50) * y = ( p * y) /50
- C.
  
  (p/50) * y = ( p * y) /100
- D.
  
  (p/100) * y = ( p * y) /100
Correct Answer
D. (p/100) * y = ( p * y) /100

Explanation
The given equation (p/100) * y = ( p * y) /100 is the correct answer because it correctly represents the calculation of p% of y. The equation states that you can calculate p% of y by dividing p by 100, multiplying it by y, and then dividing the result by 100. This equation ensures that the result is a percentage of y.

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5.

How do you calculate the percentage change in value?
- A.
  
  {change/ (initial value)}*100
- B.
  
  {change/ (initial value)}*20
- C.
  
  {change/ (initial value)}*50
- D.
  
  {change/ (initial value)}*10
Correct Answer
A. {change/ (initial value)}*100

Explanation
To calculate the percentage change in value, you divide the change in value by the initial value and then multiply by 100. This formula gives you the percentage increase or decrease in value relative to the initial value.

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6.

What's a percentage point change?
- A.
  
  It's the difference of 2 percentage figures.
- B.
  
  It's the addition of 2 percentage figures.
- C.
  
  It's the average of 2 percentage figures.
- D.
  
  It's the difference of 4 percentage figures.
Correct Answer
A. It's the difference of 2 percentage figures.

Explanation
A percentage point change refers to the absolute difference between two percentage figures. It measures the change in a variable, such as an interest rate or an economic indicator, in terms of the actual value rather than a relative comparison. For example, if the unemployment rate increases from 5% to 7%, the percentage point change would be 2 percentage points.

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7.

How do you calculate the increase N by S %?
- A.
  
  N (1+ S /10)
- B.
  
  N (S /100)
- C.
  
  N (1+ S /100)
- D.
  
  (1+ S /100)
Correct Answer
C. N (1+ S /100)

Explanation
The correct answer is N (1+ S /100). To calculate the increase N by S %, you multiply N by 1 plus S divided by 100. This formula takes the original value N and adds S percent of N to it, resulting in the increased value.

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8.

What should happen if A is x% more or less than B?
- A.
  
  Then B is 100*/(10+x) % less or more than A.
- B.
  
  Then B is 10*/(100+x) % less or more than A.
- C.
  
  Then A is 100*/(100+x) % less or more than b.
- D.
  
  Then B is 100*/(100+x) % less or more than A.
Correct Answer
D. Then B is 100*/(100+x) % less or more than A.

Explanation
If A is x% more or less than B, then B is 100/(100+x)% less or more than A. This means that if A is x% greater than B, then B is 100/(100+x)% less than A. Likewise, if A is x% less than B, then B is 100/(100+x)% more than A.

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9.

What should happen if the price of an item goes up or down by x%?
- A.
  
  Then the quantity consumed should be reduced by 100 x/ (100+x)%
- B.
  
  Then the quantity consumed should be raised by 100 x/ (100+x)%
- C.
  
  Then the quantity consumed should be reduced by 10 x/ (100+x)%
- D.
  
  Then the quantity consumed should be reduced by 100 x/ (10+x)%
Correct Answer
A. Then the quantity consumed should be reduced by 100 x/ (100+x)%

Explanation
If the price of an item goes up or down by x%, then the quantity consumed should be reduced by 100 x/ (100+x)%. This means that as the price increases or decreases, the quantity consumed should decrease proportionally. The formula 100 x/ (100+x)% calculates the percentage reduction in quantity consumed based on the percentage change in price.

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10.

Why are percentages used?
- A.
  
  For understanding the stock market.
- B.
  
  For understanding fluctuations.
- C.
  
  For understanding the financial aspects of everyday life.
- D.
  
  For understanding math.
Correct Answer
C. For understanding the financial aspects of everyday life.

Explanation
Percentages are used to understand the financial aspects of everyday life because they provide a way to express a proportion or a rate of change in relation to a whole. In finance, percentages are commonly used to calculate interest rates, discounts, and returns on investments. They also help in analyzing income and expenses, budgeting, and making informed financial decisions. Understanding percentages is crucial for managing personal finances, evaluating financial opportunities, and interpreting economic data related to income, savings, loans, and investments.

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