[1]
Section A – Micro Economics1. Give one example of normative statement. [1]2. What is the area under price line equal to. [1]3. Whathappenstoprofit/lossesinthelongruniffirmsarefreetoentertheindustry? [1]4. Factor ratio remains same under law of variable proportions. True or false. [1]5. Whyarefirmssaidtobeinterdependentinanoligopolymarket?Explain. [3]6. CompletethefollowingPPCandcommentontheshapeofacurveitislikelytoattain. [3]
Combinations Tea Coffee MRT MOCA 15 0 – ________B ________ 1 1 : 1 ________C ________ 2 2 : 1 ________D 9 ________ ________ ________E 5 ________ ________ ________F 0 5 5 : 1 ________
OR (a) Distinguishbetweenmicroeconomicsandmacroeconomicswithexample. (b) Explainthecentralproblemof'forwhomtoproduce'withexample.7. RajbuysmoreofgoodXeitherwhenit'spricefallsorwhenthepriceofitssubstituterises.
Distinguishbetweenthesetwosituationswiththehelpofadiagramandaschedule. [4]8. (a) Giveexampleofagoodwhich isnormalgood foronehouseholdand inferiorgood for
another household. (b) WhenpriceofcommodityfallsbyRs.2perkgitsquantitydemanedincreasesby2.5kgs.
CalculatetheoriginalandnewdemandifthepricebeforechangewasRs.10perunitandtheshapeofdemandcurveofacommodityisrectangularhyperbola. [2+2]
9. State two conditions of consumer equilibrium in equi-marginal utility analysis and findequilibrium in the following tablewhenprice ofbread isRs.4,price ofmilk is Rs.2andconsumers income is Rs. 16. [4]
Combinations MU of bread MU of milk1 16 14
(2018-19)Date : ___________Duration : 3 Hrs.Max. Marks : 80
ClassXIEconomics
Instructions:4 All questions are compulsory.
4 Question numbers 1-4 and 13-16 carry the weightage of 1 mark. They need to be answered in single sentence.
4 Question numbers 5-6 and 17-18 carry the weightage of 3 marks. Answer to them should not exceed 60 words.
4 Question numbers 7-9 and 19-21 carry the weightage of 4 marks. Answer to them should not exceed 80 words.
4 Question numbers 10-12 and 22-24 carry the weightage of 6 marks. Answer to them should not exceed 120 words.
4 Use of calculators is not allowed.
Sample Paper
[2]
2 12 103 8 84 4 65 2 36 0 1
OR Aconsumeriswillingtosacrifice3unitofXtoobtainonemoreunitofY.PriceofXandYare
Rs.6andRs.3respectively.Answerthefollowingquestions. (a) Istheconsumerinequilibrium.Whatwouldbehedotomaximisehissatisfactiongiven
the price of two commodities. (b) Higherindifferencecurvemeanshigherutility.Explain.10. (a) Completethefollowingtable: [6]
Output AFC TFC TVC MC01234
–––––
50––––
––
18–
20
–10–6–
(b) WhatisthebehaviourofTPandMPwhenmoreunitsofvariablefactorareemployedwithfixedfactorsintheshortrun.
11. (a) Find out the level of output at which the producer is in equilibrium under perfect competitionwhenpriceofacommodityisRs.20(usingfollowingschedule). [3+3]
Output 1 2 3 4 5 6 7TC 23 42 60 76 95 115 137
(b) SupplycurveistherisingportionofMCcurveoverandabovetheminimumofAVC?Doyouagree.Supportyouranswerwithreason.
12. (a) Aseveredroughtresultinadrasticfallintheoutputofrice.Analysehowwillitaffectthemarketpriceofwheat.
(b) Explaintheimplicationofceilingonpricebygovernment.Usediagram. [6]
Section B – Statistics
13. What is the difference between linear and curvilinear correlation. [1]14. Quartileisatypeof: [1] (a) Mathematicalaverage (b) Statisticalaverage (c) Partitionvalue (d) None15. Coefficientofvariationisapercentageexpressionof [1] (a) Meandeviation (b) Q.D. (c) S.D. (d) None16. Theindexofpricesisestimatedtobe112in2014.Incomparisontothebaseyearpricesin
2014arehigherbywhatpercentage. [1]17. Distinguishbetweenprimarydataandsecondarydata. [3]
OR Explainanythreequalitiesofagoodquestionnaire.18. Findthemissingitem,ifmeanofthefollowingseriesis50. [3]
Marks 30 35 40 ? 50 75No. of student 1 2 3 4 6 4
[3]
19. Representthefollowingdataoffaculty-wisedistributionofstudentsofacollegefor3differentyearsbymultiplebardiagram. [4]
Year Arts Commerce Science200520062007
540650730
325410520
250275350
OR Show the following details of themonthly expenditure of two families given below by sub-
dividedbardiagramorcomponentbardiagram.
Item of Expenditure (Expenditure) Family A (income 25,000) Family B (income 40,000)
FoodClothingHouse RentMiscellaneousSavings
10,0005,0004,0004,5001,500
12,00010,0006,0008,0004,000
20. Findoutmodeofthefollowingseries. [4]
Size 8 9 10 11 12 13 14 15Frequency 5 6 8 7 9 8 9 6
21. ForthefollowingdatacalculateStandardDeviationtakingassumedmean=24.5. [4]
Class 10 – 19 20 – 29 30 – 39 40–49 50 – 59Frequency 4 5 6 2 3
22. Drawa‘lessthan’ogiveand‘morethan’ogivecurvesforthefollowingfrequencydistribution: [6]
Marks 0–10 10–20 20–30 30–40 40-50 50-60No. of Student 3 4 8 10 3 2
23. From the following data, calculate price index numbers of 2007 with 1993 as base by (i)Laspeyre’sMethod(ii)Paasche’sMethod,(iii)Fisher’sMethod. [6]
Marks Base Year (1993) Current Year (2007)Commodity Price (`) p0 Quantity q0 Price (`) p1 Quantity q1
ABCD
20504020
8101520
40605020
651525
24. CalculatethecoefficientofcorrelationofthefollowingdatabytheSpearman’sRankCorrelationmethod: [6]
X 19 24 12 23 19 16Y 9 22 20 14 22 18
OR CalculatethecoefficientofcorrelationforthefollowingdatabytheActualMeanMethod.
X 12 15 18 21 24 27 30Y 6 8 10 12 14 16 18
vvvvv
[4]
(2018-19)Date : ___________Duration : 3 Hrs.Max. Marks : 80
ClassXIEconomics
1. MinimumwagsshouldbeguaranteedbytheGovernmentinalleconomicactivities.
2. TR
3. Firmswillearnnumbernormalprofitinthelongrunifentry&existorefree.
4. False,factorratiochangesasmoreofvariablefactorsareemployedwithfixedfactors.
5. Thisisbecausewhenthenumberofcompetitorsisfew,anychangeinprice,outputofproductbyafirmwillhavedirecteffectonthesalesofrivals,whowillthenretaliatebychangingtheirownprices,outputoradvertisingtechniqueasthecasemaybe.Itis,therefore,clearthatanoligopolisticfirmmustconsidernotonlythemarketdemandforitsproduct,butalsothereactionsofotherfirmsintheindustrytotakeanymajordecision.
6.
Combination Tea Coffee MRT MOC
A 15 0 - -
B 14 1 1 : 1 1
C 12 2 2 : 1 2
D 9 3 3 : 1 3
E 5 4 4:1 4
F 0 5 5 : 1 5
OR (a)
MICROECONOMICS MACROECONOMICS
1. It is thestudyof individualeconomicunits, likepriceofaparticularcommodity,outputofafirm,etc.
1.Itisthestudyofaneconomyasawholeornationalaggregateslikeinflation,nationalincomeetc.
2.Pricedeterminationandallocationofresourcesisthemainorcentralproblem.Thus,itisalsocalledasPrice-theory
2. Determination of level of income and output is the mainofcentralproblem.Thus,itisalsocalledasTheoryofIncomeandEmpowerment.
3. It is analysed through demand and supply of aparticularorgood/factor.
3. It is analysed through aggregate demand andaggregatesupplyintheeconomy.
4.Itdealswithhowtoattainconsumerequilibrium,producerequilibrium,etc.
4.Itdealswiththedeterminationofequilibriumlevelofnationalincome,output,etc.
(b) For Whom to Produce? Once the problems of ‘what’ and ‘how’ to produce are solved, the goods are thenproduced.Becausetheresourcesandtheresultingoutputofgoodsislimited,thethirdbasiceconomicdecision,whichmustbetakenis‘forwhomtoproduce’.‘Forwhomtoproduce’meanshowthenationalproduceistobedistributedamongthemembersofthesociety.Inotherwords,forwhomtoproducemeanswhoshouldgethowmuchofthetotalamountofgoodsandservicesproducedintheeconomy.Thus,thethirdproblemistheproblemsharingofthenationalproduce.
Thedistributionofnationaloutputandincomeisdoneinthefollowingtwoways: (i) Inter-Personal distribution: Thisimpliesdistributionamongindividualsinthesociety (ii) Factoral distribution: This impliesdistributionamongdifferent factorsofproduction,namely, land,
labour,capitalandentrepreneur. Themainquestionrevolvesaroundthatwhetherdistributionpromotesequalityornot.Promotionofequality
inthesocietywouldrequireequitabledistributionofoutputintheeconomy.Thiswouldleadtoagreatersocialwelfarebutatthesametime,maydiminishtheincentivetoproducemore.Ontheotherhand,inequalitywillinduceahigherlevelofproductionandthus,ahighergrowthratefortheeconomy.Thechoicevariesindifferenteconomicsystems.While,socialisteconomywoulddefinitelypromotesocialwelfarebyequaldistribution,acapitaleconomywouldleadtounequaldistributionbutahighergrowthrate.
Hints/Solutions to Sample Paper
[5]
7. IncreaseinDemandVsExpansionofDemand
BASIS INCREASE IN DEMAND EXPANSION OF DEMAND
Meaning Increase in demand means rise in quantitydemandeddue tochange in factorsother thanownpriceofthegood.Here,consumerdemandsmorequantityatthesameprice.
Expansion of demand means rise inquantitydemandedduetofallinpriceofthecommodityitself.
Reasons 1.Favourablechangeintaste2.Increaseinpriceofsubstitutegoods.3.Fallinpriceofcomplementarygoods4. Increase in income of consumers (incase of
normalgoods)5. Fall in income of consumers (in case of inferior
goods.)
Itiscausedbyfallinpriceofthecommodityitself
Shift vs Movement
Thereisrightwardshiftindemandcurve.Thisisbecausethereisachangeindemand.
There is a downward movement along thedemand curve. This is because there is changeinquantitydemanded.
Schedule and dig.
8. (a) Agoodcanbeanormalgoodfortheconsumeratsomelevelsofincomeandaninferiorgoodatotherlevelsofincome.Forexample,atverylowlevelsofincome,asincomeofaconsumerincreases,heincreasesdemandforcoarsecerealsbecausehislevelofconsumptionisbelowtheminimum.Butafteracertainlevelofincome,anyincreaseinincomeoftheconsumerwillreducehisconsumptionofcoarsecerealslikemaize,bajraetc.becausehewillnowsubstitutesuperiorcerealslikewheatandrice.
(b) Pricebeforechange=P=10/unit
Changeinprice=DP=2/kg
IncreaseinQ.d=DQ=2.5kg
∈d=1 [givenrectangularhyperbola]
∆∆QP
PQ
d× = ε
2 52
10 1.× =
Q
P=10
P1=8
4P=2q=?
<19> 2.5 q1=?
Q=12.5kg
Originaldemand=12.5kg
Newdemand=Q+DQ=12.5+2.5=15kg
[6]
9.
Combination MU of breadMU of bread in terms of money
MUr
Mu in terms of money
1
2
3
4
5
6
16
12
8
4
2
0
4
3
2
1
0.5
0
14
10
8
6
3
1
7
5
4
3
1.5
0.5 Consumerwillbeinequilibriumwhenbeconsumers2unitofbreads&4unitsofmilkbecauseatthisconsumption
bundle.
MUPx
MUr r= = = =Pr
124
62
3 units.
&Also4.2+2.4=16 consumer spent all of his income.
OR
(a) Noconsumerisnotinequilibriumor MRS≠MRε 3 ≠ 2 (b) Asconsumeriswillingtosacrificemoreunitof4thenwhatmarketrequired
(i) The consumer will consume more of x.
(ii) MarginalutilityofxfallsduetolawofDMU.
(iii) MRSxy falls.
(iv) HewillconsumermoreofxtillsMRSx4=MRE.
(c) Thisisbecauseahigherindifferencecurverepresentsmorequantityofboththegoodsoratleastofonegood.Sinceweassumethataconsumerhasmonotonicpreferencesi.e.,moregoodsmeansmoreutility,ahigherICrepresentingmoreamountofgoods,showsahigherlevelofutility.
10. (a)
Output AFC TFC TVC MC
0
1
2
3
4
∞
50
25
16.67
12.5
50
50
50
50
50
–
10
18
24
20
–
10
8
6
4
(b) Referstudymatebook
11. (a)
Output TC MC Price AR TR = P × Q MR
1
2
3
4
5
6
7
23
42
60
76
95
115
137
23
19
18
16
19
20
22
20
20
20
20
20
20
20
20
40
60
80
100
120
140
20
20
20
20
20
20
20Atoutput levels1stand6thunits,bothMRandMCareequal,which is20 inboththecases.Butproducer is inequilibriumat6thunitonlywhereprofitismaximum(100)
(b) Referstudymate
[7]
12. (a)
E1
E
P1
P
Price ( )`(Wheat)
SQ Q1
D
QD and Qs of wheat Ø Demand&wheatRises(Demandshitrightwards Ø Situationofexcessdemandinthemarginal Ø Excessdemandleadstoriseinpriceduetocompetitionamongbuyers Ø Marketpricerises Ø Whenpricerisesexpansioninsupplyandcontractionindemandtillnewequilibriumisestablishtillε1. (b) Shortage: Sincethepriceissetbelowtheequilibriumprice,thereisexcessdemandinthemarket.Allofthe
consumers’needs,cannotbemetbecauseproducerssupplylessatalowerprice.Thus,thereisashortageinthemarket.
Black marketing:Ablackmarketisareinwhichthegoodsaresoldillegallyatahigherpricethanfixedbythegovernment.Sincethereisashortageinthemarketduetopriceceiling,producerstrytoexploittheconsumers.Since thedemandcannotbemetcompletely,someconsumersare ready topayahigherprice for thegoodneeded.Ontheotherhand,somesellersarealsointerestedingettingahigherpricetogetmoreprofits.Inthisway,bothbuyersandsellersindulgeinillegaltransaction.Asaresult,thepricesometimesrisesevenabovetheequilibriumpriceandtheentirepurposeofpriceceilingislost.
Rationing: Sincethereisashortageinthemarkettheconsumerscannotgetallwhattheywant.Becauseoflimitedsupply,thegovernmentdistributestheessentialgoodsinlimitedquantitiestotheconsumersatthecontrolprice.Thisisknownasrationingandisdonethroughrationshops.Forthis,governmenthasestablishedPublic Distribution System (PDS). Itisnecessarytoaccompanypriceceilingwithrationingsoastoprotecttheconsumersandpreventemergenceofblackmarket.
13. Linearcorrelationissaidtoexistiftheamountofchangeinonevariabletendstobearaconstantratiototheamountofchangeintheothervariable.
Innonlinearorcurvilinearcorrelation,theamountofchangeinonevariabledoesnotbearaconstantratiototheamountofchargeintheotherrelatedvariable.
14. (c)
15. (d)
16. 12%
17.
Basic Primary Data Secondary Data
Time factor Itrequireslongertimefordatacollection. Secondarydatarequireslesstime.
Cost Factor Thecollectionofprimarydatarequiresaconsiderableamountofmoneyandpersonalsaswholeplanofinvestigationisinitiated.
Thecollectionofsecondarydataischeaperasitistakenfrompublishedorunpublishedmaterial.
Reliability and suitability
Primarydataismorereliableandsuitabletotheenquiryastheinvestigatorhimselfcollectsit.
Secondarydataislessreliableandlesssuitable as someone else has collected the data whichmaynotservethepurpose.
Precautions Thereisnogreatneedforprecautionswhileusingprimarydata.
Secondarydatashouldbeusedwithgreatcareand caution.
OrganizationFactor
Collectionofprimarydatarequireselaborateorganizationsetup.
Thereisnoneedfororganizationalsetupincaseofsecondarydata.
Thebasicdifferencebetweenprimarydataandsecondarydataisof‘degree’.
Thedatacollectedbyonewillbeprimary,butthesamedatausedbyanotherwillmakeitsecondary.Forexample,datacollectedbyMinistryofHumanResourcewith
(a) NumberofQuestions:Thenumberofquestionsshouldbeassmallaspossible.Longquestionnairesdiscouragepeoplefromcompletingthem.Onlythosequestionswhichhaveadirectrelevancetotheproblembeinclude.
(b) SimpleandshortQuestions:Thequestionsshouldbeclear,brief,andunambiguous.Thequestionshouldbeframedinsuchamannerthattheiranswerarespecificandprecise.
(c) Avoid Questions requiring calculations: The questions relating tomathematical computations or questionswhichforcetherespondenttorecollectfromhismemoryshouldnotbeasked.Forexample,informantsshouldnotbeaskedyearlyincome,sinceinmostofthecasestheyarepaidmonthly.
[8]
18. Letthemissingitembex
Calculation of Missing item
Marks(X) No.ofstudents(f) fX
303540x
5075
123464
30701204x
300300
∑f =20 ∑f X=820+4x
X
fXf
= ∑∑
50 820 4
20=
+ x
50×20=820+4x x=45marks MissingMarks=45Marks19.
OR
20. Thefrequenciesoftwoitems:12and14havethehighestfrequencyof9.So,groupingoffrequencyisessential.Themethodofgroupingwillbeusedfordeterminationofmode.
[9]
Table 1 : Grouping Table
Size(X)
Frequency(f)
In two’s In Three’s
Column I Column II Column II ColumnIV ColumnV ColumnVI
89101112131415
56879896
} 11
} 15
} 17
} 15
}14 } 16
}17
} 19
}24} 21
} 26
} 19
} 23
Table 2 : Analysis Table
ColumnNo. 8 9 10 11 12 13 14 15
I
II
III
IV
V
VI
Total – – 1 2 5 4 3 –
Thesize12isoccuringmaximumnumberoftimes(5times).So,Mode=12.Ans.Mode=12
21. Thisisacaseofinclusiveclass-intervals.So,ithastobeconvertedintoexclusiveseries.
MarksX No.ofstudents
f
Mid-point
m
d=m–A
A=24.5d X A
C′ =
−
C=10
fd′ d′2 t′d2
9.5 – 19.5
19.5 – 29.5
29.5 – 39.5
39.5–49.5
49.5–59.5
4
5
6
2
3
14.5
24.5(A)
34.5
44.5
54.5
–10
0
+10
+20
+30
–1
0
+1
+2
+3
–4
0
+6
+4
+9
1
0
1
4
9
4
0
6
8
27
N=Σf=20 Σfd′=15 Σfd′2=45
(i) Standard deviation ( )σ =′−
′
×∑ ∑fd
Nfd
NC
2 2
Σfd′2=45;N=20;Σfd′=15;C=10
σ = −
× = − × = × =
4520
1520
10 2 25 5625 10 1 6875 10 12 992
. . . .
[10]
22. For ‘Lessthan’and‘Morethan’ogivecurves,frequencydistributionwillbeconvertedintocumulativefrequencyasshowninthefollowingtable:
Cumulative Frequency Distribution
Marks No.ofstudent Marks No.ofstudents
Less than 10
Less than 20
Less than 30
Lessthan40
Less than 50
Less than 60
3
7
15
25
28
30
Morethan0
Morethan10
Morethan20
Morethan30
Morethan40
Morethan50
30
27
23
15
5
2
Byplotting lessthancumulative frequencyagainsttheupper limitof theclass-intervalandmorethancumulativefrequencyagainstthelowerlimitoftheclass-interval,wegetthefollowing‘lessthan’and‘morethan’ogivecurves(seefigure)
23. ConstructionofPriceIndexNumbers
BaseYear(1993) CurrentYear(2007)
Commodity Price(`)p0
Quantityq0
Price(`)p1
Quantityq1
p0q0 p0q1 p1q0 p1q1
A
B
C
D
20
50
40
20
8
10
15
20
40
60
50
20
6
5
15
25
160
500
600
400
120
250
600
500
320
600
750
400
240
300
750
500
Σp0q0
=1,660
Σp0q1
=1,470
Σp1q0
=2,070
Σp1q1
=1,790
(i) Laspeyre’sMethod
P
p qp q01
1 0
0 0
100 2 0701 660
100 124 69= × = × =∑∑
,,
.
(ii) Paasche’sMethod
P
p qp q01
1 1
0 1
100 1 7901 470
100 121 77= × = × =∑∑
,,
.
(iii) Fisher’sMethod
P
p qp q
p qp q01
1 0
0 0
1 1
0 1
100= × ×∑∑
∑∑
= × × = × = × =
2 0701 660
1 7901 470
100 1 51835 100 1 2322 100 123 22,,
,,
. . .
Ans.(i)Laspeyre’s=124.69;(ii)Paasche’s=121.77;(iii)Fisher’s=123.22.
[11]
24. Calculation of Rank Correlation
X Y R1 R2 (R1 – R2)
D
D2
19
24
12
23
19
16
9
22
20
14
22
18
3.5
6
1
5
3.5
2
1
5.5
4
2
5.5
3
+2.5
+0.5
–3
+3
–2
–1
6.25
0.25
9
9
4
1
N=6 ΣD2=29.50
Here,number19isrepeatedtwiceinseriesXandnumber22isrepeatedtwiceinseriesY.Therefore,inX,m=2andinY,m=2.
rD m m m m
N Nk = −+ − + − +
−1
6 112
112
2 2 3
3
Σ ( ) ( ) ...........
∑D2=29.50;N=6
= −
+ − + −
−1
6 29 50 112
2 2 112
2 2
6 6
3 3
3
. ( ) ( )
= −+ +
= −×
=1 6 29 50 0 5 0 5210
1 6 30 5210
0 128( . . . ) . .
Ans.RankCoefficientofcorrelation=0.128.Thereisverylowdegreeofpositivecorrelation.OR
CalculationofCoefficientofCorrelation(ActualMeanMethod)
X-Series Y-Series
xyX x X X= − x2 Y y Y Y= − y2
12
15
18
21
24
27
30
–9
–6
–3
0
+3
+6
+9
81
36
9
0
9
36
81
6
8
10
12
14
16
18
–6
–4
–2
0
+2
+4
+6
36
16
4
0
4
16
36
54
24
6
0
6
24
54
∑X=147 ∑x=252 ∑Y=84 ∑y2=112 ∑xy=168
X XN
Y YN
Y XY
X Y
=∑
= =
=∑
= =
=∑
∑ × ∑=
×=
1477
21
847
12
168232 112
16828 2242 2 ,
== =168168
1
vvvvv