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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