Basic Mathematics for College Students

(Nandana) #1

  1. NEWSPAPERS The table below shows how the
    circulations of two daily newspapers changed from
    2003 to 2007.


Solve each problem to find the commission.See Example 4.


  1. SELLING SHOES
    A shoe salesperson
    earns a 12% commission
    on all sales. Find her
    commission if she sells a
    pair of dress shoes for
    $95.

  2. SELLING CARS A used car salesperson earns an
    11% commission on all sales. Find his commission if
    he sells a 2001 Chevy Malibu for $4,800.

  3. EMPLOYMENT AGENCIES An employment
    counselor receives a 35% commission on the first
    week’s salary of anyone that she places in a new job.
    Find her commission if one of her clients is hired as a
    secretary at $480 per week.

  4. PHARMACEUTICAL SALES A medical sales
    representative is paid an 18% commission on all sales.
    Find her commission if she sells $75,000 of Coumadin,
    a blood-thinning drug, to a pharmacy chain.
    Solve each problem to find the commission rate.See Example 5.

  5. AUCTIONS An auctioneer earned a $15
    commission on the sale of an antique chair for $750.
    What is the commission rate?

  6. SELLING TIRES A tire salesman was paid a $28
    commission after one of his customers purchased a
    set of new tires for $560. What is the commission
    rate?

  7. SELLING ELECTRONICS If the commission on a
    $500 laptop computer is $20, what is the commission
    rate?

  8. SELLING CLOCKS If the commission on a $600
    grandfather clock is $54, what is the commission
    rate?
    Solve each problem to find the percent of increase.See Example 6.

  9. CLUBS The number of members of a service club
    increased from 80 to 88. What was the percent of
    increase in club membership?

  10. SAVINGS ACCOUNTS The amount of money in
    a savings account increased from $2,500 to $3,000.
    What was the percent of increase in the amount of
    money saved?

  11. RAISES After receiving a raise, the salary of a
    secretary increased from $300 to $345 dollars per
    week. What was the percent of increase in her
    salary?

  12. TUITION The tuition at a community college
    increased from $2,500 to $2,650 per semester. What
    was the percent of increase in the tuition?


6.3 Applications of Percent 547

Miami Herald USA Today
2003 315,850 2,154,539
2007 255,844 2,293,137

Daily Circulation

Source: The World Almanac, 2009

a. What was the amount of decreaseof the Miami
Herald’s circulation?
b. What was the amount of increaseof USA Today’s
circulation?

GUIDED PRACTICE

Solve each problem to find the sales tax.See Example 1.



  1. Find the sales tax on a purchase of $92.70 if the sales
    tax rate is 4%.

  2. Find the sales tax on a purchase of $33.60 if the sales
    tax rate is 8%.

  3. Find the sales tax on a purchase of $83.90 if the sales
    tax rate is 5%.

  4. Find the sales tax on a purchase of $234.80 if the sales
    tax rate is 2%.


Solve each problem to find the total cost.See Example 2.



  1. Find the total cost of a $68.24 purchase if the sales tax
    rate is 3.8%.

  2. Find the total cost of a $86.56 purchase if the sales tax
    rate is 4.3%.

  3. Find the total cost of a $60.18 purchase if the sales tax
    rate is 6.4%.

  4. Find the total cost of a $70.73 purchase if the sales tax
    rate is 5.9%.


Solve each problem to find the tax rate.See Example 3.



  1. SALES TAX The purchase price for a blender is
    $140. If the sales tax is $7.28, what is the sales tax
    rate?

  2. SALES TAX The purchase price for a camping tent
    is $180. If the sales tax is $8.64, what is the sales tax
    rate?

  3. SELF-EMPLOYED TAXES A business owner paid
    self-employment taxes of $4,590 on a taxable income of
    $30,000. What is the self-employment tax rate?

  4. CAPITAL GAINS TAXES A couple paid $3,000 in
    capital gains tax on a profit of $20,000 made from the
    sale of some shares of stock. What is the capital gains
    tax rate?


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