Percent Problem Solving: Video e Problemi di Pratica

Convert $12.5\%$ to both a fraction in simplest form and its decimal equivalent.

Which of the following correctly expresses the decimal $0.03$ as both a percentage and a fraction in simplest form?

Translate the following sentence into an algebraic equation: "$x$ is $25\%$ of $200$." Which equation correctly represents the sentence?

Which algebraic equation correctly models the problem: "$15$ is $p$ percent of $60$"?

$14$ is $2.8\%$ of what number?

90 is what percent of 60? Compute the result and express it in percent form.

Express the decimal $1.4$ as a percent and choose the statement that correctly explains what that percent communicates when comparing a new amount to an original amount.

A biologist reports that sample B has $1.4$ times the concentration of sample A. Express sample B's concentration as a percent of sample A, and state how much larger B is than A in percent terms.

A product's price falls from $\$45.00$ to $\$36.00$. What is the percent change, and how should it be described?

Let $V_i$ represent an initial value and $V_f$ represent the final value. If the percent change is $-25\%$, which equation correctly relates $V_f$ to $V_i$?

Compare the percent change for the following two scenarios:

Scenario A: A value decreases from $200$ to $150$.

Scenario B: A value increases from $150$ to $200$.

Which pair represents the correct percent changes?

A population changes from $80$ to $120$, then returns to $80$. What are the percent changes for the increase and the subsequent decrease?

A jacket priced at $\$250$ is discounted by $30\%$. A $7\%$ sales tax is then applied to the discounted price. What is the final price?

A boutique marks up an item by $20\%$ from wholesale and later discounts it by $20\%$ off the marked price. What is the net effect on the price?

Jake borrows $\$2,000$ at a simple interest rate of $4.5\%$ per year for $3$ years. How much interest will he owe at the end of the $3$-year period?

If $\$540$ in simple interest is earned over $6$ years at an annual rate of $6\%$, what was the principal amount borrowed?

City X lost $5,000$ residents, representing a $25\%$ decrease. City Y lost $3,000$ residents, representing a $10\%$ decrease. Which loss was proportionally more significant, and why?

An exam average increased from $70$ to $84$. What is the percent change, and does this represent an improvement of at least $15\%$, and why?

A startup's revenue rises from $\$20,000$ to $\$80,000$ in one year. What is the percent increase, and how should this result be interpreted?

Compute $0.75\times 0.08$ and express the product as a percentage.

Solve for $x$ in the equation derived from the statement: "$15$ is $15\%$ of $x$."

An item costs $\$176$ after a $12\%$ discount has been applied to the original price. What was the original price?

A subscription service raised its monthly fee from $\$40$ to $\$50$, then later lowered it back to $\$40$. What are the percent changes for the increase and the subsequent decrease?

A vintage console originally priced at $\$385$ is sold at an $85\%$ discount. Which statement correctly identifies the discount amount and the final sale price?

If a simple interest loan of $\$4,000$ accrues $\$320$ in interest over $2$ years, what was the annual interest rate?

A stock's price falls from $\$95$ to $\$57$. What is the percent change?

A retailer purchases a smartphone for $\$450$, marks it up $25\%$, and then offers a $10\%$ discount on the marked price. What is the final sale price and the net percent increase over the original cost?

$45$ is $15\%$ of what number?

A population changes from $12,000$ to $8,500$. What is the percent change, rounded to one decimal place, and is it an increase or a decrease?

A small town's population drops from $4,000$ to $2,800$. A neighboring city's population drops from $40,000$ to $36,000$. Which decline is more severe in relative terms, and why?