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Reg. No.
tii iil iil iltl ilftiililililil tiliililiiliitiillitilltililtililit BBABMC 213/BBMBMC 213
III Semester B.B.A./B.B.M. Degree Examination,October/November 2O19
[Max.Marks : 80
{1OxL=1O}1
(Credit Bqsed Semester Scheme)
(2012 Sclrcme) (2018-19 batch onutards)
Business Economics
Time : 3 Hoursl
SECTION _ A
(1 mark each)
Answer any ten in one or two sentences each :
(a) What is meant by specific tax?
(b) Give the meaning of productive debt.
(c) What do you mean by autonomous investment?
(d) Expand c.S.T.
(e) Define stagflation.
(0 What is globalization?
(g) Give the meaning of capital expenditure.
(h) Define fiscal policy.
(i) What do you mean by cost of living index number?
(,) What is A.P.C?
(k) Give the meaning of mission.
(1) Define macro economics.
1 P,T.O.
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7
8
BBABMC 2LSIBBMBMC 2t3SECTION _ B
(5 marks each)
Answer any five in not more than two pages each :
2. Define index numbers. How are they constructed?
3. Write a note on circular flow of money.
4. Point out canons of taxation.
5. Describe the different phases of trade cycle.
Discuss the major issues involved in macro-economics
State the qualitative tools of monetary policy
Explain the role of deficit financing in economic development
SECTION C
(15 marks each)
Arrswer the lollowing in not more than six pages each :
(a) Explain the causes and effects of inflation.Or
(b) Discuss the various sources of public revenue.
10. (a) Explain Keyne's theory of employment.
Or
(b) Discuss the impact of globahzation on Indian economy
1 I . (a) Explain the objectives and functions of W.T.O.
Or
(b) Describe the reasons for increasing public expenditure.
tir rlt il 11 t ilfl ililtiltilflilIiilil iil itiil ri iltilililililllll
(5x5=251
(3x 15=45)g
2
Reg. No
lil lil iilililllililliltxtililliltffi Ililllfr lfl iltfl BBABMC 2LI/BBMBMC 211
III Semester B.B.A./B.B.M. Degree Examination,October/November 2O19
(Credit Based Semester Scheme)
pA12 Scheme)
Income Tax
Time : 3 Hoursl [Max. Marks
Instntctions;
1. Show the working notes whereuer necessdry.
2. Follou the instntctions strictly.
3. A single ansu)er booklet containing 40 pages will be issued.
4. No odditional sheet will be issued.
t2a
1
SECTION _ A
(2 marks each)
Answer any ten of the following questions in one or trn o sentenceseach: (l0x2=20l(a) V/hat is tax free income?
(b) Give the meaning of gratuity.
(c) What is short term capital asset?
(d) State two characteristics of income.
(e) What is assessment year?
(0 Give examples for partly agriculture income.
(g) What is vocation?
1 P.T.O.
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4
BBABM c aL1/BBMBMC 21 1 lillil]llrlllillllllllilllllillllillf,tllilflllillltllllililH
(h) State the objectives of levying income tax.
(i) What is grossing up of interest?
U) Who is specified employee?
(k) What is fair rent of the house property?
(1) How do you treat interest on tax free central governmentsecurities?
SECTION B
(8 marks each)
Answer any five : (5x8=4Ol
2. How do you determine the residential status of an individual?
Explain the different kinds of securities.
Mr. Ranjith earns the following incomes during the P.Y. 2078-19 :
(a) Income from house property in Mysore Rs. 2,00,000.
(b) Profit from business in Mumbai, controlled from Dubai Rs.1,50,000.
(c) Income from agriculture in Mangalore Rs. 50,000.
(d) Income from house property in London Rs. 1,50,000
(e) Income from business in Dubai Rs. 2,00,000 (Il2 received inIndia).
(f) Profit on sale of building in Delhi received in London Rs. 3,00,000.
(S) Dividend from Indian company Rs. 8,000.
(h) Past untaxed profit brought to India Rs. 5,000.
Determine his gross total income if he is
(i) oR
(ii) NoR
(iii) NR
2
5
lil lllillllllil[lililillllillllllI rilr lllllllllilll]lllll]l BBABMC ?LI/BBMBMC 211
Ms. Arathi retired on 31.t October 2018 after serving for 21 years and4 months. Her salary at the time of retirement was Rs. 25,O0O permonth. Annual increment of Rs. 1,0O0 falls due on 1.t July every year.She received a gratuity of Rs. 3,00,000.
She also commuted % of pension and received Rs. 1,O0,0O0. Computetaxable gratuity and commuted pension for the A.Y 2Ol9-2O (notcovered under the Act)
Narya sold the following properties during the P.Y. 2018-19 :
(a) Jewellery costing Rs. 2,00,000 in January 2017, sold forRs. 2,80,000 in Jul1' 2018.
(b) Residential house propertlr, sold on 15th September 2078 forRs.34,OO,OO0. She had purchased this house at a cost of Rs.4,50,OOOin 20O3-O4. She had purchased another house in November 2018for Rs. 13,00,000 and deposited Rs. 4,00,O00 in CGAS.
(c) Motor truck was soid for Rs. 12,00,0O0 on 10ft July 2018, thewritten down value of which was Rs. 12,50,0OO as on 1.4.2018.Compute taxable capital gains. The CII for 2003-04 : 109,2Al8-19 : 28O.
Mr. Kisiran furnishes the following particulars of his income for the P.Y.20tB-19.
(a) 10% Rs. 70,000 debentures of a company.
(b) 8% Rs. 20,O0O Karnataka Govt. loan.
(c) Winning from lottery Rs. 7O,O0O (net)
(d) Income from letting machinery and plant Rs. 20,000
(e) Rs. 1,000 as interest on POSB a/c.
(0 Income from royalfy Rs. 10,000.
(g) Income from subletting the house Rs. 10,000
(h) looh,36,000 tax free debentures of Reema Ltd.
Compute income from other sources.
6
7
J P.T.O.
BBABM c 2rllBBMBMc zLL fllllllffillfilllllllillfllillllilNfilffillilllllillil[ll
8. Calculate the qualifying amount under Section 80 C for the A.Y2019-2020.
(a) Life insurance policy premium on own life policy Rs. 4O,000.
(b) LIC premium on son's life Rs. 10,000.
(c) Contribution to RPF Rs. 25,000.
(d) Contribution of ULIP of UTI Rs. 10,000.
(e) Tuition fees for 2 sons Rs. 40,O0O.
(0 Repayment of home loan Rs. 50,000.
(g) Deposit in bank for 2 years Rs. 10,000.
SECTION C
(2O marks each)
Answer any three questions : (3 x 2O = 60l
Mr. David is working as Marketing Manager in Ram Ltd. Bangalore(popuiation above 25 lakhs). He provides the following particulars of hisincome
(a) Basic Rs. 25,00O p.m.
(b) Bonus Rs. 10,O00
(c) DA Rs. 2,000 p.m.
(d) CCA Rs. 80o p.m.
(e) Hostel allowance Rs. 400 p.m. per child.
(0 Medical allowance Rs. 2OO p.m.
(S) He contributes l4oh of his salary to RPF to which the employercontributes equally. Interest on RPF at 1l% amounted toRs. 1 1,O00.
(h) He is provided with rent free furnished house owned by thecompany. The company furnished the house with furniture worthRs. 1,50,000.
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ili Il illliI ilillilililllilllliliilill iltillillilll]lili]llit BBABMC ZL\IBBMBMC 211
(i) The company has provided large car for official as r,r,e1l as personalpurposes. A11 the expenses on running and maintenance is met bvthe company including drivers salary.
t,) He is provided with the services of watchman and gardener rnho
are paid Rs. 700 p.m. and Rs. 800 p.m. respectively.
(k) During the year he made the following payment :
Professional tax Rs. 2,4OO
LIC premium Rs. 10,000
NSC Rs. 10,000
Compute his taxable salary and deduction u/s 80 C.
10. Compute income from house property of Mr. Rekha from the followingparticulars :
Particulars II IIi IV
Purpose LOHP LOHP LOHP SOHP
Municipal value 45,000 42,OAO 50,000 48,000
FRV 48,000 38,000 48,000 59,000
Rent received 50,000 40,000 48,000
Standard rent 46,000 40,000 45,000 60,000
Collection charges 1,000 2,AOO
Municipal tax paid 5,000 4,000 2,5OO 3,000
Vacancy 1 month
For the construction of the III house he had borrowed Rs. 8,00,000 at11o/o p.a. on 1.1O.2O14. The house was completed on 1.7.2076.
I
5 P.T.O.
BBABMC 2L1IBBMBMC 211 liltrt1{tilllililililllillliilrilitllil il1ilil|i tiliilt1lil1 itit
1 1. Given below is the summary of cash transactions of Mr. Varun Patel, apractising chartered accountant :
Rs. Rs.
By Office expenses
20L7-t820tB-19
By Office rent
By Salaries
By Stationery
By journals
By books
To Audit fees
2017-t82078-19
2AL9-20
To consuitation fees
To App. Tribunalappearance
To Miscellaneous income
To Interest on govt.securities
To Rent received
To bad debts recovered
2,000
5,56,000
r,2LO
10,000
15,000
20,000
10,000
1,000
9,000
4,500
1,12,55O
i,000
3,000
6,300
8 00
3,000
5,000
4,83,1 10
To Gift from clients
10,000 By Travellingexpenses
9,050 By Interest on bankloan
1,000 By Donation
By Balance
6,34,260
(a) Loan from the bank was for personal purpose.
(b) I la of the travelling expenses relate to private purposes
Compute Mr. Varun's gross total income for the AY 2019-20.
12. Define perquisites. Explain the different types of perquisites.
5
6,34,260
6
Reg. No
fl iltirili[llililfi rltilfl ltitililmililillfl ffi }l
(Credit Bd.sed Semester Sctrcme)
(2012 Scheme)
Corpora(e Accounting - I.^./
Time : 3 HoursJ
Instntctions : Prouide working notes whereuer necessary.
SECTION _ A
(2 marks each)
BBABMC ?I?IB.BMBMC 212
[Max.Marks :12O
III Semester B.B.A./B.B.M. Degree Examination,October/November 2O19
1 Answer any ten questions : (lO x 2 = 2Ol
(a) What do you mean by cumulative preference share?
(b) What is calls in arrears?
(c) What do you mean by 'Capital Redemption Reserve?
(d) What is under-subscription of shares?
(e) What are contingent liabilities?
(0 What do you mean by post incorporation profits?
(d State the various methods of valuing goodwill.
(h) How audit fees is treated under profit prior to incorporationaccount?
(i) How do you deal with the following items in final accounts in jointstock companies?
(i) Bank overdraft
(ii) Salaries
(,) What are marked applications?
1 P.T.O.
BBABMC 2L2IBBMBMC 2L2 llllll rlllll llil llllllfrll
(k) A company offers to its existing shareholders the right to buv oneshare of Rs. 1OO each at Rs. l2O for every two shares held. Themarket value of the share is Rs. 24O. Calculate the value of right.
(1) What is cash bonus?
SECTION B
(8 marks each)
Answer any five : (5x8=40)
2 What are the conditions which must be fulfilled for the redemption ofpreference shares?
3. Explain the process of book building.
4. The following is the baiance sheet of 'Magnum Ltd.'as on 31.3.2018Liabilities Rs. Assets Rs.
Share capital 3,28,000 Land & buildings 72,OOO
Reserve fund 80,000 Plant 1,09,000
Creditors 50,000 Investment 60,000
Bills payable 26,080 Stock 52,7OO
Bank 1,51,980
Debtors 38,400
4,84,O8O 4,84,O8O
The following u,ere the net profits for the vear ended :
2015 - 16 Rs. 64,560
2076 - 17 Rs. 73,740
2017 - 18 Rs. 86,700
The above amounts include income from investments Rs. 3,600 eachyear.
Ascertain the value of goodwill at 2 years purchase of the average superprofits for 3 years, taking into account the standard rate of return oncapital employed in such type of business is 10%.
2
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ill lllrll illr ilfl lllill llllffi llllililr [fi llllilllll,lillrl BBABMC 2I2IBBMBMC 2L2
Ashish Ltd., has authorized capital of Rs. 50,00,000 divided into50,000 equity shares of Rs. 100 each. The entire issue was underwritten as follows :
A - 30,000 shares (firm underwriting - 5000 shares)
B - 15,000 shares (firm underwriting- 2000 shares)
C - 5,000 shares (firm underwriting - 1000 shares)
Out of the total issue 45,000 shares including firm underwriting weresubscribed. The follou'ing were the marked forms :
A - 16000 shares ; B - 10.000 shares ; C -,4,000 shares.
Calculate the liabilitv of each underwriter.
The following are extracts from the balance sheet of a limited company.
Issued/subscribed/ca11edup/paidup capital Rs. 4,00,000
Reserve fund Rs. 2,40,0O0
Profit & Loss a/c Rs. 1,20,000
It ri-as resolr-ed to declare a bonus of 40% on equity shares by issuingequin shares to be provided Rs. 1,20,000 out of reserve fund andbalance out of profit and ioss account.
Set ou'. iournal entries to give effect to the above and show how theyrn'ould atlect the balance sheet.
7. The fo11on'rng rs the balance sheet of 'A" Ltd., as on 31.3.2018.Liabilities Rs. Assets Rs.
3000 equin' shares of 3,00,000 Cash in hand 2,000Rs. 100 each
1500 8%o preference shares 1,50,000 Cash at bank 20,000ofRs. 100 each
General reserve 40,000 Sundry debtors 80,000
Profit and Loss a/c 1O,0O0 Stock 1,40,000
Bank loan 5O,O00 Land & Buildings 2,05,000
Sundry creditors 15,0000 Furniture 30,000
Goodwill - 7O,OOO
Discount on shares 18,000
5,65,000 5,65,O00
6
aJ P.T.O
BBABTTIC 2L2 IB,BMBMC 212
Opening stock.
Purchases and sales
Wages
Salaries
Rent
Commission
Interim dividend
Cash
Debtors
Bills receivable
Bad debts
{l tfrlNilrflllililililfl illiltilltfi llfl rlllmm
8
The value of assets were as follows :
(a) Furniture to be depreciated at lOo/o.
(b) Debtors are expected to realized 80% of book value.
(c) Value of stock, land and buildings and goodwill is estimated atRs. 1,20,000, Rs. 2,50,000 and Rs. 80,000 respectively.
Find out the intrinsic value of equity share.
Ahuja Ltd., has 100,0OO equity shares of Rs. 10 each and 8O,0OO, I2o/opreference shares of Rs. 10 each. The company transfers lOo/o ofdivisible profits to reserve every year. The expected profit before tax isRs. 4,00,000. The rate of tax is 3O%. Normal rate of return is l2o/o.
Compute the value of each equity shares under yield method.
SECTION C
(20 marks each)
Answer any three (3x2O=6Ol
From the following trial balance of Gururaj Ltd., as on 31.3.2018,prepare final accounts in vertical form with relevant notes :
Particulars Dr. C,.,
.Rs. Rs.
9
3,26,OOO
(
24;80,000
2,64,OOO
.2,48,00096,000
12,000
2,00,o00
2,68,000
3,60,000
1,64,O00
19,o00
37,60,0b0
4
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Particulars
Preliminary expenses
Investment
Discount
Goodwill
Interest on debentures
Furniture
Plant & Machinery
Land & Buiidings
Sales returns
2,00,000 equity=hares of Rs. 1O each
Interest
Profit and loss a/c
Reserve fund !-
Creditors1
Bills payable --'Discount
67o debentures
Purihase returns
Transfer fees
BBABMC ?LzIBIBMBMC 212
Dr.
1,20,000
3,46,000
, 60,000
2,4O,OOO
24,OOO
2,t2,OOO
9,60,O00
17,40,000
92,OOO
20,00,000
40,000
4,48,.OOO
3,50,O00
5,48,000
76,OOO
92,OOO
8,00,000
1,00,000
6,O00
82,30,000 82,30,O00
Adjustments :
(a) Provision for doubtful debts on debtors is to be made at Soh.
(b) Closing stock Rs.16,50,000
(c) Transfer to reserve fund Rs. 1,50,000
(d) Transfer to reserve fund Rs. 1,50,000
(e) Write off preliminary expenses by 50%.
(0 Provide for taxation Rs. 50,OO0.
5 P.T.O
BBABM c 2t2 1BBMBMC 212 llillliilllllllilllllllillilllillfllillillllilillllfllllllilillt
10. Following is the balance sheet of Emperor Ltd. as on 31 .3.2018.
Liabilities Rs. Assets Rs.
2,25,OOO equity shares of 22,5O,OOO Plant & Machinery 12,50,000
Rs. 10 each
32,500 preference shares 6,50,000 Furniture 4,60,000
of Rs. 20 each
Reserve fund 1,60,000 Stock 7,50,000
Profit & Loss a/c 3,00,000 Debtors 10,00,000
Creditors 5,00,000 Investments 1,75,000
Bills payable 50,000 Cash at bank 3,O0,OOO
Provision for taxation 25,000
39,35,000 39,35,000
The company decided to redeem its preference shares at a premium of
5% and in order to facilitate the redemption, it was decided :
(a) To sell investments for Rs. 1,50,000
(b) To finance part of the redemption from company's fund subject to
leaving a balance of Rs. 1,00,000 in the profit and loss account.
(c) To issue sufficient number of equity shares of Rs. 10 each at apremium of Rs. 2.50 per share to raise the balance of funds.
The preference shares are redeemed on the due date and the equity
shares are fuliy subscribed.
Pass journal entries to record the above and prepare baiance sheet
after redemption.
6
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11. Shadow Ltd., was incorporated on 1.5.2018 to take over a businessfrom 1.I.2018. Profit and loss account showed the following results.
Profit and Loss Account for the year ending 31 .12.2018
Rs.
9,60,000To Salaries
To Rent 4,000
To Directors fees
To Commission on sales
To Office expenses
To Bad debts
To Discounts
To Audit fees
To Depreciation
To Debentures interest
To Interest on purchaseconsideration upto 1. 10.2018
To Preliminary expenses
To Carriage outll'ards
To Net profit
9,64,O00 9,64,OOO
Additional information :
(a) Out of total sales Rs. 48,00,000, sales for the pre-incorporationperiod was Rs. 20,00,000
(b) Out of bad debts Rs. 2,OOO relates to debts created prior toincorporation.
(c) Recovery of bad debts was in respect of debts written off in 2017.
Rs.
1,20,000
49,000
30,000
24,OOO
1,20,0o0
5,000
36,O00
6,000
18,000
10,000-
4s,ooo
50,o00
12,000
4,40,000
By Gross profitbld
By bad debtsrecovered
7 P.T.O.
BBABM c 2L2 1BJBMBMC 212 illllliilllllllllllllulillililllllilililliilllllilll
(d) Rent upto 3O.4.2O18 was Rs. 1,000 per month and thereafter itwas increased tq Rs. 5,500 p.m.
(e) Salaries for the post-incorporation period was Rs. 96,000.
12. X Ltd., issued 1O,OOO shares of Rs. 1O each at a premium of Rs. 1 pershare. The money was payable as follows :
On application Rs. 2
On allotment (including premium) Rs. 5
Balance on call
The entire issue was underwritten as foliows :
A : 5000 shares (firm underwriting 20O0 shares)
B : 30O0 shares (firm underu,riting 1000 shares)
C : 2000 shares (firm underwriting 500 shares)
Shares applied for were 7500 shares.
The marked forms including firm underwriting were :
A : 25O0 shares
B: 1500 shares
C : 1000 shares.
The underwriters were entitled to a commission of 5%. The call wasduly made, and all allottees including the underwriters paid the money.
Calculate the liability of each underwriter. Also pass the necessaryjournal entries in the books of the company for recording the abovetransactions.
8
Apportion the profits into pre and post incorporation profits.
Reg. No
fi lfi 1ilililililflil]illliliil!il1ililtiiilil]til 1ilil
Time : 3 Hours]
SECTION _ A
1. Answer any ten questions. 2 marks each :
(a) Write the meaning of service.
(b) What is market segmentation?
(c) What is packaging?
(d) What is personal seiling?
(e) Write the meaning of meta marketing.
(0 Give the meaning of advertising copy.
(g) What is psychological pricing?
(h) Wtrat is brand?
(i) What is meant by rural marketing?
0) What is discount stores?
(k) State the meaning of labeling.
0 What is public relation?
BBABMC 2IOIB.BMBMC zLO
III Semester B.B.A./B.B.M. Degree Examination,October/November 2Ol9
(Credit Based Semester Sch.eme)
(2012 Scheme)
Marketing Management
[Mur..Marks : l2O
(1Ox2=2Ol
1 P.T.O.
-c
4
5
6
7
8
BBABMC 2LOIBBMBMC 2LO I I I I il lt Ililllilll lllil til IlllllI I ilt lllllllllil illl
SECTION _ B
Answer any five questions. 8 marks each (5x8=40)
2. Explain the various types of brands
What are the essentials of a good advertising copy?
What are the reasons for failure of a new product?
What are the objectives of pricing?
What are the different tools of sales promotion?
What are the merits of packaging?
What are the characteristics of services?
SECTION _ C
Answer all questions. 2O marks each : (3x2O=60)
9. (a) Explain the concepts of marketing.
Or
(b) What are the factors influencing selection of a channels of
distribution?
10. (a) Explain the different stages of product life cycle with suitable
strategies.
Or
(b) What are the features of rural market? Explain its significance
2
I I I llllrll ilfl lllllllllllllll I lllili I il1rililil llfl llll BBABMC ?LOIBBMBMC 2tO
1i. (a) Explain the different stages of new product development.
Or
(b) (i) Explain the importance of service marketing.
(i0 Chocovit, a Mait chocolate milk drink, was manufactured by
a large MNC. The product was launched in the Indian marketin 2O1O after a successful test market in Mumbai andBengaluru. It was brown coloured powder packaged in500 gms glass jars. Its refill packs were also available.Consumer acceptance of the brand was good and the sales
kept on growing till 2018, reached to highest and starteddeclining.
(1) What promotion strategr would you suggest to popularizethis product?
(21 How "Chocovit" can compute with major player?
3
Reg. No
il I it ilt ii I i I lil I r tililillill lt i [ fi lt lil I ilt11ililtil tl
Time : 3 Hours]
Instntctions1.
2.
3.
4.
BBABMC ?OgIBBMBMC 2O9
III Semester B.B.A./B.B.M. Degree Examination,October/November 2019
(Credit Based Semester Scheme)
(2012 Scheme)
Commercial Law
[Max.Marks :12O
Support Aour ansu)er uith releuant case latus.
Section A : Ansuer in one or tuto sentences each.
Section B : Answer in not more than two pages each.
Sectioru C : Anstuer in not more than six pages each.
1
SECTION _ A
(2 marks each)
Answer any ten from the following :
(a) What is meant by counter offer?
(b) What is "consensus ad idem"?
(c) Give two examples for negotiable instruments
(d) What do you mean by privacy of contract?
(e) What do you mean by contingent contract?
(0 Give the meaning of biiateral contract.
(g) What is remission?
(h) Give the meaning of intellectual property.
(i) What do you mean by digital signature?
0) What is "Quantum Meruit"?
(1Ox2=2Ol
1 P.T.O.
BBABilIC ?OgIB.BMBMC 2O9 ll lilll lllr illlillilillllilllllllI lil] llilli lffi lllillfr I I
(k) Mention the two circumstances in which the court awardvindictive damages.
{U What do you mean by'Ab-initio-void"?
SECTION. B
(8 marks each)
Answ-er any five of the following : (5 x 8 = 4Ol
'2" Expiain the case Carlill V/s Carbolic smoke ball company.
3. Distinguish between a cheque and a bill of exchange.
4. What is misrepresentation and fraud? Distinguish betweenmisrepresentation and fraud.
5. Explain the different categories of cyber crimes.
6. Explain the sources of Indian Mercantile Law.
7 . Make a comparative analysis of copyright and trademark.
8. Explain the differences between agreement and contract.
e. (a)
(b)
SECTION - C(20 marks each)
(3x2O=60)What objects are unlawful? Explain the agreements opposed topublic policy.
OrGive the meaning of discharge of contract and explain the differentmodes of discharge of a contract.
Give the meaning of breach of contract. Explain the differentremedi.es available for breach of contract.
OrDefine acceptance. Explain the essential elements of a validacceptance.
10. (a) Deline contract. Explain the essentials of a valid contract.Or
(b) "No consideration, No contract". Explain with exceptions andessentials
il. (a)
(b)
2
lllllrlllllillllllllllillllllllllllllllllllillllll BBABM c 2o7 IBBMBMc zor
III Semester B,B.A./B.B.M. Degree Examination,October/Novembet 2OL9
(Credit Based Semester Scheme)
(2012 Scheme)
Business MathematicsTime : 3 Hours] [Max.Marks: 80
Insttttctions ;
1. Use of scientific calatlator is not permitted.
2. Logarithm tables uill be prouided on request.
SECTION _ A
(1 mark each)
1. Answer any ten of the following : (1O x 1 = 1Ol
Reg. No
is a singular matrix. Find x.(a)Ir
rf r=L; x+50
(b) If A is a matrix of order 3x2 and B is a another matrix of order2x4. Then u,hat is the order of AB.
(c) Find l,tJ rt t:
(d)
(e)
(0
(e)
10
1
1l-11
Simplify the equation xr -27 x + 50 = 0 .
Find 12ft term of the sequence 3, 8, 13 ......
If first term of GP is 3 and common ratio is 2. Write the fourthterm.
The ratio of two numbers is 2 : 3 and their sum is 85. Find thenumbers.
1 p.T.o.
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(h) Find the simple interest of Rs. 4OO0 for 3 years at 9o/o per annum.
(il Calculate the selling price of an article worth Rs. 8,150 after 15%
trade discount.
(,} Find x if log..216 =3 .
(k) Calculate compound interest on Rs. 8,540 at l2o/o p.a. for 2 years.
(l) Divide Rs. 1,500 among A and B in the ratio of 2 : 3.
SECTION B
(5 marks each)
Answer any five of the follo"l,ing : (5x5=251
2. If A=, ;lu=[]L
310t0 4l471
Find 4A+385
0
1
nJ
4
1
I
5
1
..,\J
4
s,
6
I
The sum of trno numbers is 15 and their difference is 5. Find thenurnbers.
If the 4th term and 6ft term of A.P are 13 and 19 respectively. Find thefirst term and common difference.
Find the selling price if the listed price is Rs. 2,5OO, when a tradediscount of lOah and a cash discount of 2o/o for immediate payment.
The bankers gain on certain bill due after 6 month is Rs. 4O. The rate ofinterest being 160/o p.a. Find the face value of the bill. Also find truediscount and banker's discount.
There are four bills on each for Rs. 2,000, Rs. 800, Rs. 600 andRs. 1,200. Their respective due dates are l21e. March, 27tr, March,1Sth April and 26ft April. Find the equated due date.
Compr.rte the compound interest on Rs. 5,000 for two years at 60/o p.a.the interest heing calculated quarterly.
2
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SECTION C
(15 marks each)
Answer any three questions (3x15=45)
9. (a) Solve the following equations by Cramer's rule. {lCIl
7x+6y-52=303x-4y*z=0x +2y -32 =10
(b) A man saved Rs. 16,500 in ten years in each year after the first he
saved Rs. 100 more than he did in the preceding year. Horri, rnuch
he did saw in the first year? (51
10. (a) Solve the lbllowing equations by matrix method. (101
2xr4y*z=5x-l!-fz=62x+3y*z=6
(b) The sum and product of three numbers in GP are 19 and 2t6
respectively. Find the numbers. (51
11. (a)
(b)
(c)
TWo numbers are in the ratio 5:8. If 9 is added t.o each they are in
the ratio of 8: 1 1. Find the numbers. {5}
Find the rate of simple interest at which a sum of Rs. 1,500 will be
come Rs. 1,815 in 3 years time. t5)
If 5 men earn Rs. 4,2O0 in 15 days working 8 hours a day. How
much will 6 men earn in 8 days working in 6 hours a daSr? {51
3 P.T.O.
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(b) If interest is to be compounded half yearly at lOo/o p.a. in howmany years would money triple? (51
(c) Find the present value of perpetuity immediate of Rs. 4,000 atl2oh p.a. compound interest and perpetuity due of Rs. 6,0OO atl5o/o p.a. (51
Evaluate ton{ - ton9 n lon 128
"15 "6 '243
4
