Question 1

At the end of the season, the Marblehead Indians had 18 wins and 4 losses. What percent of the games did the team win? (Round to the nearest hundredth percent.)

Accepted Answer

B = 18 + 4 = 22, R = ?, P = 18. Divide 18 by the total number of games, 22, to get a rate of .8182; convert to percent and round to the nearest hundredth.

Question 2

Ann earns $3,900 per month as a gym teacher in California. Her state, local, and federal taxes represent 53% of her monthly gross income. What amount does Ann take home after taxes are deducted from her salary?

Accepted Answer

B = 3,900, R = 100% - 53% = 47%, P = ?. Take $3,900 × .47 = $1,833

Question 3

The sales tax in Massachusetts is 6.25%. Joanne bought a wood stove with a sales tax of $15. What was the cost of the wood stove before tax?

Accepted Answer

B = ?, R = 6.25%, P = 15. Divide the tax amount of $15 by the tax rate of .0625 to get a cost of $240.

Question 4

Merck Company has downsized by firing 22,386 employees because of prolonged recessionary conditions. This represents 18% of its global workforce. What was the total global workforce before the layoffs?

Accepted Answer

B = ?, R = 18%, P = 22,386. Base = 22,386/.18; 124,367

Question 5

At Acorn College the tuition has increased 20% for each of the last two years. If tuition this year is $17,280, what was the tuition two years ago? (Round all answers to nearest dollar.)

Accepted Answer

1. Find tuition for previous year. B = ?, R = 100% + 20% = 120%, P = 17,280. Take 17,280/1.2 to get 14,400. 2. Find the tuition 2 years ago. B = ?, R = 120%, P = 14,400. Take 14,400/1.2 to get 12,000.

Question 6

In 2018 North Shore Community College had a total student body that was 5% more than in 2017, which was 5% more than in 2016. The enrollment in 2018 was 4,200. How many students attended the college in 2017? How many students attended the college in 2016? (Round answer to nearest student.)

Accepted Answer

1. B = ?, R = 100% + 5% = 105%, P = 4,200. Divide the current enrollment of 4,200 by 1.05 to get the 2017 enrollment of 4,000. 2, B = ?, R = 105%, P = 4000. Divide 4000 by 1.05 to get the 2016 enrollment of 3810.

Question 7

22 is 72% of ________ (round to the tenth):

Accepted Answer

22/.72 = 30.55; 30.6

Question 8

Dierberg's meat department annual sales per store were $485,000. Sales for next year are expected to rise by 32%. What are the forecasted sales for the meat department next year?

Accepted Answer

B = 485,000, R = 100% + 32% = 132%, P = ?. Take $485,000 × 1.32 = $640,200

Question 9

The price of a calculator decreased from $60 to $15. What was the percent of the decrease?

Accepted Answer

B = 60, R = ?, P = 60 - 15 = 45. Take 45/60 and convert to a percent.

Question 10

Mel Rickter is reviewing the total accounts receivable. This month, he received $45,000 from credit customers. This represented 25% of all receivables due. What is the total amount of Mel Rickter's accounts receivable?

Accepted Answer

B = ?, R = 25%, P = 45,000. Divide $45,000 by .25 to get $180,000.

Question 11

Amy Gridley earns a gross pay of $500. If payroll deductions are 28%, what is her take-home pay?

Accepted Answer

B = 500, R = 100% - 28% = 72%, P = ?. Take 500 × .72 to get 360.

Question 12

Convert to a decimal: 1/6% (round decimal to the nearest ten thousandths):

Accepted Answer

1/6% = .1666%; = .0017

Quiz 6: Percents and Their Applications