Understanding Percentage Change Flashcards

A set of vocabulary flashcards covering the definitions, formulas, and specific problem contexts related to percentage increase and decrease based on the lecture notes.

Percentage change

A measure of how much a value increases or decreases in comparison to its original amount, expressed as a percentage.

Common applications of percentage change

Utilized frequently in finance, sales, budgeting, and data analysis.

Formula for Percentage Change

$$\text{Percentage Change} = \frac{\text{new value} - \text{original value}}{\text{original value}} \times 100\%$$

Positive percentage result

Indicates a percentage increase is occurring.

Negative percentage result

Indicates a percentage decrease is occurring.

Original value (Problem 1: Bag)

$$₱600$$

New value (Problem 1: Bag)

$$₱650$$

Percentage change outcome for Bag Price

$8.33\%$ (an increase from the original price).

Original value (Problem 2: Stock)

$₱120$ per share.

New value (Problem 2: Stock)

$₱90$ per share.

Percentage change outcome for Stock Value

$-25\%$ (a $25\%$ decrease).

Original value (Problem 3: Savings)

$$₱8,000$$

New value (Problem 3: Savings)

$$₱7,200$$

Percentage change outcome for Julia's Savings

$-10\%$ (a $10\%$ decrease).

Original price (Problem 4: Shoes)

$$₱1,500$$

Mathematics scores (Problem 5)

The score increased from $75$ to $90$.

Laptop pricing (Problem 6)

Original cost was $₱45,000$ and the promotional sale price is $₱40,500$.

Monthly sales increase (Problem 7)

Increased from $₱250,000$ to $₱300,000$.

Barangay population change (Problem 8)

Increased from $8,500$ people to $9,350$ people.

Gasoline price change (Problem 9)

Decreased from $₱68$ per liter to $₱61$ per liter.

Electricity bill change (Problem 10)

Increased from $₱2,400$ to $₱2,880$.

Rice harvest change (Seatwork #1)

A shift from $1,200\,kg$ last year to $1,500\,kg$ this year.

Cellphone price change (Seatwork #1)

An increase from an original price of $₱18,000$ to a new cost of $₱19,800$.