Percentage Increase Practice Flashcards

These flashcards cover the definitions, formulas, and solving procedures for percentage increase based on lecture examples involving prices, enrollees, and scores.

Percentage Increase

Measures the amount of increase in comparison to the original value, expressed as percentage.

Percentage Increase Formula

$$\frac{\text{New Value} - \text{Original Value}}{\text{Original Value}} \times 100\%$$

Amount of Increase

The difference between the new value and the original value ($\text{New Value} - \text{Original Value}$).

Recap: $0.75$ equivalent

$$75\%$$

Recap: $25\%$ equivalent

$$0.25$$

Recap: $0.5$ equivalent

$$50\%$$

Recap: $1.0$ equivalent

$$100\%$$

Example: $20$ to $28$ increase

A $40\%$ increase ($\frac{8}{20} \times 100 = 40\%$).

Example: ₱$250,000$ to ₱$320,000$ increase

A $28\%$ increase.

Example: ₱$67.00$ to ₱$68.34$ increase

A $2\%$ increase.

Example: University enrollees from $2,350$ to $3,337$

A $42\%$ increase.

Original Price Calculation (Smartphone Task)

If the price becomes ₱$13,000$ after a ₱$1,000$ increase, the original price is ₱$12,000$ ($13,000 - 1,000$).

Example: Smartphone price increase percentage

Approximately $8.33\%$ ($\frac{1,000}{12,000} \times 100 = 8.3\%$).

Example: Math score from $45$ to $58$

An increase of $28.89\%$ ($\frac{13}{45} \times 100$).