Percent Problems Quiz

What does percent represent in percent problems?

• A ratio of a quantity to 1000

• A quantity out of 100

• A fixed value for all calculations

• The total amount in a given situation

Answer explanation

Percent represents a quantity out of 100 in percent problems, indicating the proportion of a whole in terms of hundredths.

Which of the following is a correct representation of a percent proportion?

• PART = % × WHOLE

• PART + WHOLE = %

• % + PART = WHOLE

• WHOLE ÷ PART = %

Answer explanation

The correct representation of a percent proportion is PART = % × WHOLE, as it shows the relationship between the part, percentage, and whole.

What is the formula for calculating percent increase?

• (new price - original price) ÷ original price × 100

• (original price - new price) ÷ new price × 100

• (original price ÷ new price) × 100

• (new price ÷ original price) × 100

Answer explanation

The formula for calculating percent increase is (new price - original price) ÷ original price × 100. This formula gives the percentage increase from the original price to the new price.

What is the formula for calculating percent error?

• (estimation - actual) ÷ actual × 100

• (actual - estimation) ÷ estimation × 100

• (actual ÷ estimation) × 100

• (estimation ÷ actual) × 100

Answer explanation

The formula for calculating percent error is (estimation - actual) ÷ actual × 100, which is the correct choice among the options provided.

What is the purpose of calculating markup in a real-world context?

• To determine the discount on an original price

• To find the percentage of a class taking a specific course

• To add a charge to the initial price of an item

• To calculate the interest earned on an investment

Answer explanation

The purpose of calculating markup in a real-world context is to add a charge to the initial price of an item.

What does simple interest refer to?

• The total amount of money after an investment

• The charge added to the principal for borrowing money

• The money you can earn by initially investing some money

• The percentage decrease of an investment over time

Answer explanation

Simple interest refers to the money you can earn by initially investing some money. It is calculated as a percentage of the principal amount.

An intramural soccer team at a university has 30 players, 60% of whom are women. After adding 22 new players, the percentage of women dropped to 50%. How many of the new players are women?

• A) 11

• B) 12

• C) 13

• D) 14

Miguel takes out a loan that generates an annual interest on the initial amount. What is the interest that Miguel will pay on the loan if he took $5,000 at an annual interest rate of 4.5% for 15 years? (Use the formula I = Prt, where I is the interest, P is the principal or initial amount, r is the annual interest rate, and t is the number of years.)

• A) $3,375

• B) $2,250

• C) $4,125

• D) $1,125

Massimo lost his math book and the school charges a fee of 70% of the original cost of the book. If Massimo received a notification that he owes $73.50 for the lost book, what was the original cost of the book?

• A) $105

• B) $52.50

• C) $150

• D) $100.50

Anthony is writing the place cards for his best friend's wedding reception. If he can write 12 cards in 5 minutes, how long will it take him to complete the entire set of 180 cards?

• A) 75 minutes

• B) 90 minutes

• C) 60 minutes

• D) 45 minutes

Answer explanation

If Anthony can write 12 cards in 5 minutes, he can write 180 cards in 75 minutes (12 cards/5 minutes * 180 cards = 75 minutes). Therefore, the correct answer is A) 75 minutes.