NumericalTest3-Solutions

1:12-09-2011Q1Whatwasthe2010percentagechangeinthevalueofthePacificRimholdingbetweenOctoberandNovember(tothenearestpercent)?(A)41%less(B)41%more(C)36%less(D)34%less(E)33%lessStep1–calculatetheOctvalueTheinformationthatyouneedisshowninthepie-chart£37.5millionx20%=£7.5millionStep2–calculatetheNovvalueTheinformationthatyouneedisshowninthegraph50.0x£100,000=£5millionStep3–calculatethe%difference7.5-5.0=2.5100%x2.5/7.5=33.33%less.Orsimplydivide5.0by7.5toget0.6667,whichisa33.3%reduction.Thusthecorrectansweris(E),33%less3:SouthernPacificholdingsinOctober2010?(A)3:2(B)2:3(C)4:5(D)5:4(E)4:7Theinformationthatyouneedisshowninthepie-chartStep1-PuttheseOctober%’sintoaratio20%:35%=20:35Step2–simplifytheratio,lookingattheavailableanswers.20:35=4:7Thusthecorrectansweris(E),4:7Q3InOctober2010whichtwoPacificBondfundholdingswhencombinedhadthesamevalueasSouthernPacificholdings?(A)NorthernPacificandCentralPacific(B)CentralPacificandPacificRim(C)PacificMixedandPacificRim(D)PacificMixedandNorthernPacific(E)PacificRimandNorthernPacificTheinformationthatyouneedisshowninthegraphStep1–lookforthoseholdingsthatarelikelytohaveacombinedvaluearoundthe35%mark:NorthernPacific+PacificMixed=30%PacificRim+PacificMixed=32%NorthernPacific+CentralPacific=33%PacificRim+NorthernPacific=38%CentralPacific+PacificRim=35%Thusthecorrectansweris(B),CentralPacificandPacificRim4(A)October’sPacificMixedholding(B)AverageNovembervalueofeachofthe5holdings(C)NovembervalueofholdingsinNorthernPacific(D)70%ofNovember’svalueofholdingsinSouthernPacific(E)AverageDecembervalueofeachofthe5holdingsInthisoneitisnotobviouswhichonesaregoingtobewrongandthereforeabletobediscounted,sowemustcalculatethevalueofeachoption:(A)October’sPacificMixedholding=4.5million(B)AverageNovembervalueofeachofthe5holdings=7.2million(C)NovembervalueofholdingsinNorthernPacific=6.14million(D)70%ofNovember’svalueofholdingsinSouthernPacific=6.47million(E)AverageDecembervalueofeachofthe5holdings=7millionThusthecorrectansweris(B),AverageNovembervalueofeachofthe5holdingsQ5InOctober2010whatfractionofthetotalPacificBonddidtheNorthernPacificandPacificMixedfundholdingsrepresent?(A)1/5(B)1/10(C)1/4(D)3/10(E)2/5Theinformationthatyouneedisshowninthepie-chart.Step1-AddtheNorthernPacificandPacificMixed%’s18%+12%=30%Step2–Expressthisfigureasafraction30/100=3/10Thusthecorrectansweris(D),3/105(inunits)betweenActualandTargetsalesvolumes?(A)10overtarget(Week1);10undertarget(Week3)(B)10overtarget(Week1);15undertarget(Week3)(C)15overtarget(Week1);10undertarget(Week3)(D)15overtarget(Week1);15undertarget(Week3)(E)20overtarget(Week1);10undertarget(Week3)Step1–calculatethetotalWeek1andWeek3salesacrossthe5StoresWeek1:20+30+25+15+5=95Week3:35+40+24+12+9=120Step2-calculatethetotalWeek1andWeek3targetsacrossthe5StoresWeek1:15+20+20+10+10=75Week3:35+35+30+15+15=130Step3–calculatethedifferenceforWeeks1and3Week1:95–75=20overtargetWeek3:120–130=10undertargetThusthecorrectansweris(E),20overtarget(Week1);10undertarget(Week3)6(A)Redcliff(B)Ather(C)Wilkington(D)Trew(E)TunstonStep1–calculateeachStore’stotalsalesUsetheActualsalesfiguresforeachofthe3weeks,asfollows:Redcliff20+20+35=75Ather30+40+40=110Wilkington25+18+24=67Trew15+14+12=41Tunston5+6+9=20Step1–calculateeachStore’saveragesalespersalesstaffmember,asfollows:Redcliff75/8=9.4Ather110/9=12.2Wilkington67/5=13.4Trew41/8=5.1Tunston20/6=3.3Thusthecorrectansweris(C),WilkingtonQ8Nextyearstaffnumbersaretobereducedby1atstoreswith6orlessstaff,andby2staffatallotherstores.Whatwillbetheaveragemonthlytargetperstaffmemberacrossall5storesiftheregionaltarget(acrossthe5stores)is£168,000?(A)£5,000(B)£6,000(C)£7,000(D)£8,000(E)£9,000Step1–calculatethenewstaffnumbersRedcliff8–2=6staffAther9–2=7staffWilkington5–1=4staffTrew8–2=6staffTunston6–1=5staffStep2–calculatetheaveragetargetperstaffmemberAverage=target/totalnumberofstaff=168,000/28=£6,000Thusthecorrectansweris(B),£6,0007’soverallsales(£120,000)wereinaratioof3:2totheEasternRegion’ssaleswhichitselfhadhalfthesalesoftheNorthernandSouthernRegionscombined.Whatwerethetotalsalesofall4Regions?(A)£180,000(B)£200,000(C)£220,000(D)£240,000(E)£360,000Step1–calculateeachRegion’ssalesEasternRegion’ssales=2x120,000/3=80,000Northern+SouthernRegions’sales=80,000x2=160,000Step2–calculatethetotalsales120,000+80,000+160,000=360,000Thusthecorrectansweris(E),£360,000Q10Allsalesinthethreeweekperiodwerebasedonanaverage£9.50reductioninthesalespriceoftheunitssold.Whatwasthetotalsavingmadebycustomers