Paper Code: MNB-292

Roll Number:
EXAMINATION: April-May 2024
B.B.A PART-I (Semester-II)
Subject: BBA Paper: Minor
Title: Business Mathematics
Maximum Marks: 60 Duration: 3 hrs. (Part-A: 20 min. and Part-B & C: 2:40 hrs.)
Note: All questions are compulsory. Distribution of marks is given in the relevant section. In the question paper do not write
anything other than roll number.
lHkh iz'u vfuok;Z gSaA vadksa dk forj.k lEcfU/kr [k.Mksa esa fn;k x;k gSA iz’ui= esa vuqØekad ds vfrfjDr dqN Hkh uk fy[ksaA

PART - A
(MULTIPLE CHOICE QUESTIONS)

Note: Separate OMR Sheet for marking the correct options of multiple choice question paper is provided. Mark your option
on the OMR Sheet by properly darkening the circle.
cgqfodYih; iz’uksa ds lgh fodYi vafdr djus ds fy;s i`Fkd OMR Sheet nh xbZ gSA vius fodYi blh 'khV ij iw.kZ :i ls xksys
dks Hkj dj vafdr djsaA
Marks: 12 (12 questions of 1 mark each)

A-01: A and B share the profits in the ratio 4:5. If the profit is Rs.9900, A’s share is:
^v* rFkk ^c* 4%5 ds vuqikr esa ykHk ck¡Vrs gSaA ;fn ykHk 9900 :- gks] rks ^v* dk fgLlk gS%
(A) Rs.5000 (B) Rs.4400 (C) Rs.5500 (D) Rs.4000

A-02: Dinesh’s expenses are increased from Rs.730 to Rs.876. The percentage increase is:
fnus'k ds [kpZ 730 :- ls c<+dj 876 :- gks tkrs gS] izfr’kr o`f) gS%
(A) 16.67% (B) 17% (C) 22% (D) 20%

A-03: A broker receives brokerage from seller and buyer @2.5% and 1.5% respectively. If transaction was
settled for Rs.1,27,000, then broker’s total brokerage is:
,d nyky foØsrk rFkk Øsrk ls Øe’k% 2-5 izfr’kr rFkk 1-5 izfr’kr nykyh ysrk gSA ;fn lkSnk 1]27]000 :- esa
r; gqvk gks] rks nyky dh dqy nykyh gS%
(A) Rs.1,905 (B) Rs. 3,175 (C) Rs. 5,080 (D) Rs. 8,500

A-04: A certain sum doubles itself after 8 years on simple interest. What times it will be after 40 years?
dksbZ /ku lk/kkj.k C;kt ij 8 o"kZ esa nksxquk gks tkrk gS] rks 40 o"kZ ds ckn ;g fdruk xquk gksxk\
(A) 5 (B) 6 (C) 7 (D) 8

A-05: In what time (years) will Rs.1,100 amount to Rs. 2,794 @ 6.6% compound interest per annum?
fdrus le; ¼o"kZ½ esa 1]100 :- 6-6 izfr’kr okf"kZd pØo`f) C;kt dh nj ls 2]794 gks tk,¡xs\
(A) 16 (B) 12 (C) 8 (D) 7

A-06: If 3x-20 = 0, then the value of x is:

;fn 3x-20 = 0 gks rks x dk eku gS%
𝟐𝟎 −𝟐𝟎 −𝟑 𝟑
(A) (B) (C) (D)
𝟑 𝟑 𝟐𝟎 𝟐𝟎

A-07: The difference between the average of even and odd numbers from 1 to 10 is:
1 ls 10 rd dh le la[;kvksa o fo"ke la[;kvksa ds vkSlr dk vUrj gS%
(A) 9 (B) 6 (C) 5 (D) 1

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 Paper Code: MNB-292

A-08: If 𝐥𝐨𝐠 2 = 0.3010, the value of 𝐥𝐨𝐠 0.00002 is:

;fn 𝐥𝐨𝐠 2 = 0.3010 rks 𝐥𝐨𝐠 0.00002 dk eku gS%
(A) 𝟐. 𝟑𝟎𝟏𝟎 (B) 𝟓. 𝟑𝟎𝟏𝟎 (C) 5. 𝟑𝟎𝟏𝟎 (D) 2. 𝟑𝟎𝟏𝟎

𝟐 −𝟐 𝟐 𝟐
A-09: If 𝑨 = 𝒂𝒏𝒅 𝑩 = , then A+B is:
−𝟐 𝟐 𝟐 𝟐

;fn 𝑨 = 𝟐 −𝟐
𝒂𝒏𝒅 𝑩 =
𝟐 𝟐
gks] rks A+B gS%
−𝟐 𝟐 𝟐 𝟐
(A) Column Matrix LrEHk vkO;wg (B) Row Matrix iafDr vkO;wg
(C) Scalar Matrix vfn’k vkO;wg (D) Null Matrix ’kwU; vkO;wg

A-10: Number of sub-sutras in Vedic Mathematics is:

oSfnd xf.kr esa mi&lw=ksa dh la[;k gS%
(A) 16 (B) 15 (C) 14 (D) 13

A-11: By selling an item of Rs.550 is Rs.500, the rate of discount is:

550 :- ewY; dh oLrq 500 :- esa cspus ij cV~Vs dh nj gksxh%
𝟏 𝟏 𝟏
(A) 𝟗 𝟏𝟏 % (B) 𝟏𝟏 𝟗 % (C) 𝟏𝟎 % (D) 𝟗 𝟗 %

A-12: What is the geometric mean of 2, 8 and 4?

2] 8 vkSj 4 dk xq.kksÙkj ek/; D;k gS\
(A) 2 (B) 4 (C) 8 (D) 16

PART - B
(SHORT ANSWER TYPE QUESTIONS)
Marks: 16(4 questions of 4 marks each)

B-01: In a mixture of 160 litres of milk and water, the ratio of milk and water is 7:1. If 10 litres of water is added
to mixture, then what will be the ratio of milk and water in new mixture?
160 yhVj ds feJ.k esa nw/k ,oa ikuh dk vuqikr 7%1 gSA ;fn bl feJ.k esa 10 yhVj ikuh vkSj feyk fn;k tk,
rks u, feJ.k esa nw/k ,oa ikuh dk vuqikr D;k gksxk\
Or/vFkok
Explain difference between General and Del-Credere Commission.
lkekU; ,oa ifj’kks/k deh’ku esa varj dk o.kZu dhft,A

B-02: Solve the following equations by elimination method:

fuEu lehdj.kksa dks foyksiu fof/k }kjk gy dhft,%
𝒙 𝒚 𝒙 𝒚
+ = 𝟐, + = 𝟏,
𝟐 𝟑 𝟑 𝟗

Or/vFkok
Explain “Cross multiplication method” of solving simultaneous equations.
;qxir lehdj.k gy djus ds ^^ctz xq.kuQy fof/k** dks le>kb,A

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 Paper Code: MNB-292

B-03: When two matrices are conformable for addition and multiplication?
nks vkO;wg dc ;ksx rFkk xq.kk ds fy, vuqdwyuh; gksrs gSa\
Or/vFkok
Explain the terms logarithm and antilogarithm.
y?kqx.kd ,oa izfry?kqx.kd ’kCnksa dks le>kb,A

B-04: Find the value of following equation using log table:

y?kqx.kd lkj.kh dk mi;ksx djrs gq, fuEufyf[kr lehdj.k dk eku Kkr dhft,%
𝟑 𝟓
𝟎. 𝟎𝟏𝟐𝟑𝟓 × 𝟎. 𝟎𝟎𝟐𝟓
Or/vFkok
Explain main features of Vedic Mathematics.
oSfnd xf.kr ds izeq[k fo’ks"krkvksa dk o.kZu dhft,A

PART -C
(ESSAY TYPE QUESTIONS)
Marks: 32 (4 questions of 8 marks each)

C-01: A salesman gets a monthly salary and certain commission based on sales. If he gets a total
remuneration of Rs.2,240 and Rs.2,470 on the consecutive sales in two months, amounting to
Rs.28,200 and Rs.32,800, find the rate of his commission and monthly salary.
,d foØsrk dks ekfld osru rFkk fcØh ij vk/kkfjr dqN izfr’kr deh’ku fn;k tkrk gSA yxkrkj nks ekg ds
28]200 :- rFkk 32]800 :- dh fcØh ij ;fn mls Øe’k% 2]240 :- rFkk 2]470 :- dqy izkIr gq, gks] rks
ekfld osru rFkk fcØh ij izkIr deh’ku dh nj Kkr dhft,A
Or/vFkok
In examination 70% examinees passed in Business Mathematics and 65% in Financial Accounting while
15% failed in both the subjects. If 2700 examinees passed in both the subjects, find the total number of
examinees.
fdlh ijh{kk esa 70 izfr’kr ijh{kkFkhZ O;olkf;d xf.kr esa rFkk 65 izfr’kr foÙkh; ys[kkadu esa mÙkh.kZ gq,] tcfd 15
izfr’kr nksuksa fo"k;ksa esa vuqÙkhZ.kZ gq,A ;fn 2]700 ijh{kkFkhZ nksuksa fo"k;ksa esa mÙkh.kZ gq, rks ijh{kkfFkZ;ksa dh la[;k Kkr
dhft,A

C-02: A grain merchant suffer a loss of Rs.12,000 on selling 60 bags of wheat at the rate of Rs.9 per kg. On
selling it at the rate of Rs.11 per kg he gains a profit of Rs.1,200. Find out the quantity of wheat per bag
and cost price of wheat per kg.
vukt ds ,d O;kikjh dks 60 cksjs xsgw¡ 9 :- izfr fdyksxzke dh nj ls cspus ij 12]000 :- dh gkfu gksrh gSA 11
:- izfr fdyksxzke dh nj ls cspus ij 1]200 :- dk ykHk gksrk gSA izR;sd cksjs esa xsgw¡ dh ek=k rFkk xsgw¡ dk izfr
fdyksxzke Ø; ewwY; Kkr dhft,A
Or/vFkok
Find out the missing wages (measurement) of the following data. If Arithmetic mean is Rs.115.86:
fuEu vk¡dM+ksa ls vKkr etnwjh ¼i{kewY;½ Kkr dhft, tcfd lekUrj ek/; 115-86 :- gS%
Wages (in Rs.): 110 112 113 117 x 125 128 130
etnwjh ¼:i;ksa esa½
No. of workers: 25 17 13 15 14 8 6 2
etnwjksa dh la[;k

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 Paper Code: MNB-292

C-03: Calculate compound interest for 6 years on Rs.432.50 at 5% per annum. What difference will it make if
interest is calculated half-yearly?
5 izfr’kr okf"kZd ls 432-50 :- dk 6 o"kksZa ds fy, pØo`f) C;kt dh x.kuk dhft,A ;fn C;kt dh x.kuk
v)Z&okf"kZd dh tkrh gS rks D;k varj iMs+xk\
Or/vFkok
Solve following equation by log-antilog Method:
y?kqx.kd&izfry?kqx.kd fof/k ls fuEukafdr lehdj.k dks gy dhft,%
𝟎.𝟎𝟎𝟎𝟏𝟑𝟐𝟒
÷ (𝟎. 𝟎𝟑)𝟑
𝟎.𝟎𝟑𝟐𝟏×𝟎.𝟎𝟎𝟏𝟑𝟒𝟐

𝟎 𝟎 𝟏
C-04: If matrix 𝑨 = 𝟐 −𝟑 𝟎 , then find the value of 𝑨𝟑 + 𝟒𝑨𝟐 − 𝑨 .
𝟏 𝟏 −𝟏
𝟎 𝟎 𝟏
;fn vkO;wg 𝑨 = 𝟐 −𝟑 𝟎 gks rks 𝑨𝟑 + 𝟒𝑨𝟐 − 𝑨 dk eku Kkr dhft,A
𝟏 𝟏 −𝟏

Or/vFkok

What is determinant? Explain its properties with suitable examples.

Lkkjf.kd D;k gS\ mi;qDr mnkgj.kksa }kjk blds xq.k/keksZa dk o.kZu dhft,A

The End

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 Paper Code: MNB-292

fo’ks"k Vhi% osclkbV ij izdkf’kr ikVZ&, dh dqta h ds lanHkZ esa fdlh izdkj dh folaxfr gksus ij fo|kFkhZ viuk izfrosnu ijh{kk fu;a=d dks
osclkbV ij izdkf’kr frfFk ls vkxkeh rhu dk;Zfnolksa esa izLrqr dj ldrs gSaA blds i'pkr~ izLrqr izfrosnuksa ij fopkj fd;k
tkuk laHko ugha gksxkA
ijh{kk fu;a=d

Key to Part-A
(Objective Type Questions)
Paper Code: MNB-292
Question Answer Key
A-01: B

A-02: D

A-03: C

A-04: B

A-05: A

A-06: A

A-07: D

A-08: B

A-09: C

A-10: D

A-11: A

A-12: B

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