QCM : Mastering Percentage Changes and Growth Calculations — 8 questions

Questions et réponses du QCM

1. What is a percentage increase factor?

A multiplier representing the effect of a percentage increase, calculated as 1 plus the percentage increase divided by 100
The total percentage increase over multiple periods, summed up and expressed as a percentage
The original value before any percentage increase is applied
The percentage increase expressed as a decimal, used to find the new value after an increase

A multiplier representing the effect of a percentage increase, calculated as 1 plus the percentage increase divided by 100

Explication

The percentage increase factor is the multiplier used to calculate the new value after a percentage increase, and it is calculated as 1 plus the percentage increase divided by 100. This factor simplifies applying percentage increases in calculations by converting the percentage into a multiplicative factor.

2. Who is cited as explaining the concept of compound growth calculations in the course content?

John Maynard Keynes
Albert Einstein
As AUTHOR (date) explains
Adam Smith

As AUTHOR (date) explains

Explication

The content explicitly mentions 'as AUTHOR (date) explains' as the source discussing compound growth calculations, making this the correct answer.

3. What is the primary purpose of applying multiple price discounts sequentially in calculations?

To find the compounded reduction in the original price
To compare different discount rates for pricing strategies
To determine the total amount of savings from discounts
To calculate the average discount percentage applied

To find the compounded reduction in the original price

Explication

Applying multiple discounts sequentially allows us to calculate the overall reduction in the original price by multiplying the discount factors, resulting in the compounded effect of all discounts.

4. In the context of investment growth calculations, when is the compound growth over multiple periods typically established or first applied?

After all periods are completed
At the end of the first period
At the beginning of the first period
During the second period

At the beginning of the first period

Explication

The compound growth over multiple periods is established or first applied at the beginning of the first period, as the calculation involves multiplying the initial investment by the growth factors for each period starting from the initial point.

5. How does depreciation of assets compare to successive price discounts in terms of calculation method?

Depreciation reduces value linearly, whereas discounts reduce value exponentially.
Both involve multiplying the current value by a factor less than one to account for reduction.
Depreciation involves adding a fixed amount each period, while discounts involve multiplying by a percentage.
Depreciation is calculated as a fixed percentage of the original value each period, unlike discounts which are applied sequentially.

Both involve multiplying the current value by a factor less than one to account for reduction.

Explication

Both depreciation and successive price discounts are calculated by multiplying the current value by a factor less than one, representing a percentage decrease. This multiplicative approach is common to both concepts, making them similar in their calculation method.

6. Who is credited with formulating the concept of multiplicative change?

Albert Einstein
Isaac Newton
Carl Friedrich Gauss
Leonhard Euler

Leonhard Euler

Explication

Leonhard Euler is credited with formalizing many fundamental mathematical concepts, including the exponential function, which underpins the idea of multiplicative change in compound growth and related phenomena.

7. What is a primary cause of population growth?

Economic development
Improved healthcare
Higher birth rates than death rates
Migration into a region

Higher birth rates than death rates

Explication

Population growth primarily occurs when the birth rate exceeds the death rate, leading to an increase in the total population over time.

8. How should you correctly apply a 15% discount followed by a 20% VAT to an original price of $200 to find the final price?

Add 20% VAT first, then apply the 15% discount on the increased price.
Apply the 15% discount and 20% VAT simultaneously by adding the percentages.
Apply the 15% discount first, then add 20% VAT on the discounted price.
Apply the 20% VAT first, then apply the 15% discount on the increased price.

Apply the 15% discount first, then add 20% VAT on the discounted price.

Explication

The correct method is to first apply the 15% discount by multiplying the original price by 0.85, then add 20% VAT by multiplying the discounted price by 1.20. This sequence reflects standard practice, as discounts are applied to the net price before adding tax, resulting in the lowest final price.

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Percentage Increase Factor — definition?

Multiplier representing percentage increase, 1 + (percentage/100).

Change factor for 15% increase?

1.15.

Sequential increases — method?

Multiply their change factors.

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