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chapter5.5b
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1993-09-25
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àï5.5èApplications of Percent.
äèPlease solve the following Percent Applications.
âè How much interest will you earn on an investment of $2500 at
a 12% rate.
#êêê┌¥ë 100 ∙ Aè=è12 ∙ 2500
#è Aêï12ë│ê100 ∙ Aè=è30,000
#ï────è=è───ï,ï│êë Aè=è30,000/100
#ï2500ê100è──┘êë Aè=è300
êêêê You will earn $300 interest.
éSTo solve the Percent Problem, "How much interest will you earn
on an investment of $2500 at a 12% rate?", you should first identify
the three parts.
êêë interestêï12%êï2500
êêêïêêêë
êêêAmountêïRateêèBase
Then you should substitute ç parts into the Percent Proportion and
solve.ë AmountêRate
#êë──────è=è────ë┌¥è 100 ∙ Aè=è12 ∙ 2500
#êë Baseêï100ë│
#êêêêë │ë100 ∙ Aè=è30,000
#êê Aêï12ê│êè Aè=è30,000/100
#êë ────è=è───ë──┘êè Aè=è300
êë 2500ê100êèThe earned interest will be $300.
1
êèHow much interest will you earn on $5,000 invested at 11%?
ëA)ï$650êèB)ï$550êèC)ï$600êèD)ïå
üêêêèAêï11
#êêêê────è=è───
êêêê5000ê100
êêêè 100 ∙ Aè=è11 ∙ 5000
êêêè 100 ∙ Aè=è55000
êêêêèAè=è55000/100
êêêêèAè=è550
êêê The earned interest will be $550.
Ç B
2
êèIf you deduct 15% of your $400 salary for savings, how much
êèwill you set aside?
ëA)ï$60êè B)ï$45êè C)ï$50êè D)ïå
üêêêèAêï15
#êêêê────è=è───
êêêê 400ê100
êêêè 100 ∙ Aè=è15 ∙ 400
êêêè 100 ∙ Aè=è6000
êêêêèAè=è6000/100
êêêêèAè=è60
êêê The amount deducted will be $60.
Ç A
3
êèHow much commission will you get if your rate is 6% and you
êèsell an $80,000 home?
ëA)ï$2,800ê B)ï$3,600ê C)ï$4,800ê D)ïå
üêêêèAêè6
#êêêê────è=è───
êêêë80,000ê100
êêêè 100 ∙ Aè=è6 ∙ 80,000
êêêè 100 ∙ Aè=è480,000
êêêêèAè=è480,000/100
êêêêèAè=è4,800
êêê The commission will be $4,800.
Ç C
4
êèIf 20% of a 10 lb. mixture of nuts is walnuts, how many pounds
êèare walnuts?
ëA)ï2 lbs.ê B)ï3 lbs.ê C)ï4 lbs.ê D)ïå
üêêêè Aê 20
#êêêêï──è=è───
êêêêï10ê100
êêêè 100 ∙ Aè=è20 ∙ 10
êêêè 100 ∙ Aè=è200
êêêêèAè=è200/100
êêêêèAè=è2
êêê There are 2 lbs. of walnuts.
Ç A
5
êèIf the state sales tax rate is 6%, and the sales tax on an
êèitem is $8.40, what was the price?
ëA)ï$125êèB)ï$135êèC)ï$140êèD)ïå
üêêê 8.40êï6
#êêêê────è=è───
êêêêïBê 100
êêê 8.40 ∙ 100è=è6 ∙ B
êêêê 840è=è6 ∙ B
êêêë 840/6è=èB
êêêê 140è=èB
êêêëThe price was $140.
Ç C
6
êèIf you pay $300 yearly interest on a 6% loan, how much money
êèwas borrowed?
ëA)ï$5,000ê B)ï$6,000ê C)ï$8,000ê D)ïå
üêêêï300êï6
#êêêê────è=è───
êêêêïBê 100
êêêï300 ∙ 100è=è6 ∙ B
êêêë 30000è=è6 ∙ B
êêêè 30000/6è=èB
êêêë 5,000è=èB
êêê The amount borrowed was $5,000.
Ç A
7
êèIf you are paid 5% commission of your sales, how much must you
êèsell to earn $2,000.
ëA)ï$20,000êB)ï$40,000êC)ï$30,000êD)ïå
üêêê2,000êï5
#êêêë ─────è=è───
êêêêïBê 100
êêê2,000 ∙ 100è=è5 ∙ B
êêêè 200,000è=è5 ∙ B
êêêï200,000/5è=èB
êêêë40,000è=èB
êêê You must sell $40,000.
Ç B
8
êêêï240 is 12% of what number?
ëA)ï2,500êïB)ï3,000êïC)ï2,000êïD)ïå
üêêêï240ê 12
#êêêê ───è=è───
êêêêïBê 100
êêêï240 ∙ 100è=è12 ∙ B
êêêë24,000è=è12 ∙ B
êêêï24,000/12è=èB
êêêë 2,000è=èB
êêêèThe number is 2,000.
Ç C
9
êèIf 27 out of 30 people finish a math course, what is the
êècompletion rate?
ëA)ï85%êè B)ï90%êè C)ï95%êè D)ïå
üêêêè27ê R
#êêêêï──è=è───
êêêêï30ê100
êêêè27 ∙ 100è=è30 ∙ R
êêêê2700è=è30 ∙ R
êêêè 2700/30è=èR
êêêêï90è=èR
êêêï90% of the people finished.
Ç B
10
êèIf you were charged $18.00 interest on a $1200 credit card
êèbalance, what was the monthly interest rate?
ëA)ï1.5%êèB)ï12%êè C)ï15%êè D)ïå
üêêêè18ê R
#êêêê────è=è───
êêêê1200ê100
êêêè18 ∙ 100è=è1200 ∙ R
êêêê1800è=è1200 ∙ R
êêêï1800/1200è=èR
êêêê 1.5è=èR
êêêïThe monthly rate is 1.5%.
Ç A
11
êèIf you earn $135 interest on a $1500 investment, what is the
êèrate?
ëA)ï7%êèB)ï11%êè C)ï9%êè D)ïå
üêêêï135ê R
#êêêê────è=è───
êêêê1500ê100
êêêï135 ∙ 100è=è1500 ∙ R
êêêë 13500è=è1500 ∙ R
êêê 13500/1500è=èR
êêêêè9è=èR
êêêïThe earnings rate is 9%.
Ç C
12
êèIf you have 88 dimes in an 800 coin collection, what percent
êèof coins are dimes?
ëA)ï12%êèB)ï11%êè C)ï8%êè D)ïå
üêêêè88ê R
#êêêê ───è=è───
êêêê 800ê100
êêêè88 ∙ 100è=è800 ∙ R
êêêë 8,800è=è800 ∙ R
êêêï8,800/800è=èR
êêêêï11è=èR
êêêï11% of the coins are dimes.
Ç B