KPMG Classic Numerical Tests Solutions

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  • 7/25/2019 KPMG Classic Numerical Tests Solutions

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    1 ClassicNumericalTestsSolutions Dell.Nc

    ClassicNumericalTestsSolutions

    Classic

    24

    Solutions

    QuestionOne 01. E 02.C 03. B 04. E

    QuestionTwo 05. C 06.A 07.A 08.D

    QuestionThree 09. E 10.A 11.C 12. E

    QuestionFour 13.G 14. B 15. E 16.C

    QuestionFive 17. C 18. F 19.D 20. B

    QuestionSix 21. E 22.G 23.A 24.A

    Question

    One

    1. TheactualnumberofcallstakenperhourinRegionSW

    =NumberofPermanentStaffAverageNumberofcallsforPermanentStaff+

    NumberofTemporaryStaffAverageNumberofcallsforTemporaryStaff

    =200per.staff28calls/per.staff+(300200)tem.staff25calls/tem.staff

    =8,100(numberofcallsinRegionSW)

    TheTargetNumberofcalls=TheactualnumberofcallinSW/(110%)

    =8,100calls/90%=9,000(calls)

    2. Increasednumberofcalls

    =TotalnumberofcallsinRegionNW6%

    =(NumberofPermanentStaffAverageNumberofcallsforPermanentStaff+

    NumberofTemporaryStaffAverageNumberofcallsforTemporaryStaff)6%

    =[(250per.staff20calls/per.staff+(550250)tem.staff16calls/tem.staff]6%

    =588(calls)

    3.

    Ratioof

    per.

    staff

    to

    tem.

    staff

    in

    Region

    E=300

    :(500

    300)

    =3:2

    TotalnumberofstaffinRegionSE=400

    SincetheRatio(3:2)areusedinRegionSE

    PermanentStaffinSE=400[3:(3+2)]=240(staff)

    TemporaryStaffinSE=400[2:(3+2)]=160(staff)

    Differenceinnumberofcall

    =Totalnumberofcalls(before)Totalnumberofcalls(after)

    =[240per.staff30calls/per.staff+160tem.staff18calls/tem.staff]

    [150per.staff30calls/per.staff+(400150)tem.staff18calls/tem.staff]

    =1,080(staff)

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    4. Numberofcallshandledperhourbypermanentstaff

    =NumberofPermanentStaffAverageNumberofcallsforPermanentStaff

    Regions Calculations Results

    HW

    250

    per.

    staff

    20

    calls/per.

    staff

    5,000

    staff

    NE 150per.staff22calls/per.staff 3,300staff

    E 300per.staff18calls/per.staff 5,400staff

    SW 200per.staff28calls/per.staff 5,600staff

    SE 150per.staff30calls/per.staff 4,500staff

    QuestionTwo

    5.

    Combinedsales

    target

    to

    all

    three

    destinations

    =SalestargettoHopworth+SalestargettoJumpford+SalestargettoSkipdown

    =43,200+80,000+16,000

    =139,200(GBP)

    Salestargetincreased5%

    =139,200(1+5%)

    =146,160(GBP)

    TotalamountofrevenueforWeek1andWeek2

    =ThreedestinationsrevenueinWeek1+ThreedestinationsrevenueinWeek2

    =11,232

    +21,600

    +4,160

    +12,096

    +19,200

    +4,640

    =72,982(GBP)

    Totalamountofrevenueremainstobeearned

    =146,16072,982

    =73,232(GBP)

    6. Totalamountofrevenuetosell120ticketsperweektoSkipdown

    =AveragepriceperticketsNumberoftickets

    =40perticket120tickets/week4weeks

    =19,200

    (GBP)

    Percentageofrevenuetargetforskipdownincrease

    =[Salestarget(after)Salestarget(before)]/Salestarget(before)100%

    =(19,20016,000)/16,000100%

    =20%

    7. FewerticketstoHopworthneedtobesold

    =Differencein(Salestarget/averageticketprice)

    =

    43,200

    /

    48

    per

    ticket

    44,000

    /

    50

    per

    ticket

    =20(tickets)

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    8. Numberofcoachjourneys

    =4weeksalestargettoJumpford/Averagepriceperticket/Numberofseats

    =80,000/50perticket/25seatspercoach

    =64(journeys)

    QuestionThree

    9. PercentagegrowthintotalnumberofcommutersbetweenJulyandSeptember

    =(2.502.40)/2.40100%

    =4.17%

    PercentagegrowthintraincommutersbetweenJulyandSeptember

    =(1.101.08)/1.08100%

    =1.85%

    TotalnumberofcommutersinNovember

    =TotalnumberofcommutersinSept.(1+Percentagegrowthintotalnumberofcommuters

    betweenJulyandSeptember)

    =2.50(1+4.17%)

    =2.60(millions)

    TotalnumberoftraincommutersinNovember

    =TotalnumberoftraincommutersinSept.(1+Percentagegrowthintotalnumberoftrain

    commutersbetweenJulyandSeptember)

    =1.10(1+1.85%)

    =1.12(millions)

    NumberofnontraincommutersinNovember

    =2.601.12

    =1.48(millions)

    10.NumberoftraincommutersinOctober=1.70(millions)

    NumberofnontraincommutersinOctober

    =(3.201.70)

    =1.50

    (millions)

    Numberofdifference

    =1.701.50

    =0.20(million)

    11. NumberofrailcommutersinNovember

    =1.700.30

    =1.40(millions)

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    16. NumberofreducedunitsinPeriod3and4

    =TotalemployeesinPeriod3and4ProductionReducedworkingweek4weeks

    =(55+40)employees3unitsperpersonperhour(4038)hours4weeks

    =2,280(units)

    QuestionFive

    17. ValueofThaiBahtfor100EurosinYear2

    =100(EUR)61.8(THB/GBP)/1.62(EUR/GBP)

    =3,814.81(ThaiBaht)

    RemainingamountofThaiBaht

    =8,0003,814.81

    =4,185.19

    (Thai

    Baht)

    ValueofGBPfortheRemainingamountofThaiBaht

    =4,185.19(THB)/61.8(THB/GBP)

    =67.72(GBP)

    18. ValueofEurosfor1,000GBPpurchasedinYear1

    =1,000(GBP)1.52(EUR/GBP)

    =1,520(EUR)

    ValueoftheamountofEurosinHongKongDollars(HKD)inYear2

    =1,520(EUR)11.1(HKD/GBP)/1.62(EUR/GBP)

    =10,415(HKD)

    19. ChangeinvalueofTHBinrelationtoGBP

    =(ValueinYear2ValueinYear1)/(ValueinYear1)100%

    =[(1/61.8)(1/65.4)]/(1/65.4)100%

    =5.8%

    20.

    Changein

    value

    in

    relation

    to

    GBP

    between

    Year

    1and

    Year2

    Currency Calculations(100%) Percentage(AbsoluteValue)

    Euro (1/1.621/1.52)/(1/1.52) 6.17%

    USDollar (1/1.431/1.60)/(1/1.60) 11.89%

    JapaneseYen (1/1871/158)/(1/158) 15.51%

    AustralianDollar (1/2.721/2.55)/(1/2.55) 6.25%

    ThaiBaht (1/61.81/65.4)/(1/65.4) 5.83%

    HongKongDollar (1/11.11/12.3)/(1/12.3) 10.81%

    MalaysianRinggit (1/5.441/7.62)/(1/7.62) 40.07%

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    QuestionSix

    21. Percentageincreaseintheamountofminedore,fromYear1toYear5

    =

    (Amount

    of

    mined

    ore

    in

    Year

    5

    Amount

    of

    mined

    ore

    in

    Year

    1)

    /

    (Amount

    of

    mined

    ore

    in

    Year1)

    =(150110)/110100%

    =36%

    22. Amountoforemined

    =Totalcost/Goldprice/Amountofgoldmilledfromore

    =1,000,000(GBP)/8.00(GBPpergm)/5.0(gms/tonne)

    =25,000(tonnes)

    23. IncreasedinpriceofgoldbetweenYear4andYear5abovethataccountedforbyinflation

    =GoldpriceinYear5GoldpriceinYear4(1+inflationrate)

    =10.509.50(1+10%)

    =0.05(GBP)

    24. Financialreturnsperthousandtonnesoforemined

    =AmountofgoldmilledfromoreGoldprice

    Year

    Calculations

    Results

    2001 1,000tonnes/thousandtonnes7.2gms/tone7.80GBP/gm 56,160GBP

    2002 1,000tonnes/thousandtonnes5.0gms/tone8.00GBP/gm 40,000GBP

    2003 1,000tonnes/thousandtonnes8.0gms/tone8.75GBP/gm 70,000GBP

    2004 1,000tonnes/thousandtonnes7.6gms/tone9.50GBP/gm 72,200GBP

    2005 1,000tonnes/thousandtonnes7.0gms/tone10.50GBP/gm 73,500GBP

    2006 1,000tonnes/thousandtonnes7.4gms/tone10.00GBP/gm 74,000GBP