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HSC Commerce: Marketing and Salesmanship १२ वीं कक्षा - Maharashtra State Board Important Questions for Mathematics and Statistics

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Mathematics and Statistics
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Find x if Laspeyre’s Price Index Number is same as Paasche’s Price Index Number for the following data

Commodity Base Year Current Year
  Price
p0
Quantity
q0
Price
p1
Quantity
q1
A 3 x 2 5
B 4 6 3 5
Appears in 1 question paper
Chapter: [13] Index Numbers
Concept: Construction of Index Numbers >> Weighted Aggregate Method

Solve the following problem:

If find x is Walsh’s Price Index Number is 150 for the following data

Commodity Base Year Current Year
  Price
p0
Quantity
q0
Price
p1
Quantity
q1
A 5 3 10 3
B x 4 16 9
C 15 5 23 5
D 10 2 26 8
Appears in 1 question paper
Chapter: [13] Index Numbers
Concept: Construction of Index Numbers >> Weighted Aggregate Method

Choose the correct alternative:

Walsh's Price Index Number is given by

Appears in 1 question paper
Chapter: [13] Index Numbers
Concept: Construction of Index Numbers >> Weighted Aggregate Method

Marshall-Edgeworth's Price Index Number is given by ______

Appears in 1 question paper
Chapter: [13] Index Numbers
Concept: Construction of Index Numbers >> Weighted Aggregate Method

Calculate
a) Laspeyre’s
b) Passche’s
c) Dorbish-Bowley’s Price Index Numbers for following data.

Commodity Base Year Current Year
Price Quantity Price Quantity
A 10 9 50 8
B 20 5 60 4
C 30 7 70 3
D 40 8 80 2
Appears in 1 question paper
Chapter: [13] Index Numbers
Concept: Construction of Index Numbers >> Weighted Aggregate Method

Given P01(M-E) = 120, `sum"p"_1"q"_1` = 300, `sum"p"_0"q"_0` = 120, `sum"p"_0"q"_1` = 320, Find P01(L)

Appears in 1 question paper
Chapter: [13] Index Numbers
Concept: Construction of Index Numbers >> Weighted Aggregate Method

Find the missing wage if the Cost of Living Index for the following data is 150.

Group Food Clothing Fuel and
Lighting
House
Rent
Miscellaneous
I 200 150 140 100 120
W 6 4 x 3 4
Appears in 1 question paper
Chapter: [13] Index Numbers
Concept: Method of Constructing Cost of Living Index Numbers - Family Budget Method

The Cost of Living Index Numbers for years 2003 and 2008 are 150 and 200 respectively. A person earned ₹ 18,000 per month in year 2003. What should be his earning per month in year 2008, so as to maintain same standard of living as 2003?

Appears in 1 question paper
Chapter: [13] Index Numbers
Concept: Uses of Cost of Living Index Number

State whether the following statement is true or false:

Dorbish-Bowley's Price Index Number is the square root of the product of Laspeyre's and Paasche's Index Numbers.

Appears in 1 question paper
Chapter: [13] Index Numbers
Concept: Construction of Index Numbers >> Weighted Aggregate Method

If P01 (L) = 121, P01 (P) = 100, then P01 (F) = ______.

Appears in 1 question paper
Chapter: [13] Index Numbers
Concept: Construction of Index Numbers >> Weighted Aggregate Method

Calculate the cost of living index number for the following data by aggregative expenditure method:

Group Base year Current year
Price Quantity Price
Food 120 15 170
Clothing 150 20 190
Fuel and lighting 130 30 220
House rent 160 10 180
Miscellaneous 200 11 220
Appears in 1 question paper
Chapter: [13] Index Numbers
Concept: Method of Constructing Cost of Living Index Numbers - Aggregative Expenditure Method

`sqrt((sump_1q_0)/(sump_0q_0)) xx sqrt((sump_1q_1)/(sump_0q_1)) xx 100`

Appears in 1 question paper
Chapter: [13] Index Numbers
Concept: Construction of Index Numbers >> Weighted Aggregate Method

Laspeyre’s Price Index Number uses current year’s quantities as weights.

Appears in 1 question paper
Chapter: [13] Index Numbers
Concept: Construction of Index Numbers >> Weighted Aggregate Method

Calculate Marshall – Edgeworth’s price index number for the following data:

Commodity Base year Current year
Price Quantity Price Quantity
P 12 20 18 24
Q 14 12 21 16
R 8 10 12 18
S 16 15 20 25
Appears in 1 question paper
Chapter: [13] Index Numbers
Concept: Construction of Index Numbers >> Weighted Aggregate Method

The cost of living index number using Weighted Relative Method is given by ______.

Appears in 1 question paper
Chapter: [13] Index Numbers
Concept: Cost of Living Index Number

Feasible region is the set of points which satisfy ______.

Appears in 1 question paper
Chapter: [14] Linear Programming
Concept: Basic Concepts of Linear Programming

A doctor prescribed 2 types of vitamin tablets, T1 and T2 for Mr. Dhawan. The tablet T1 contains 400 units of vitamin and T2 contains 250 units of vitamin. If his requirement of vitamin is at least 4000 units, then the inequation for his requirement will be ______

Appears in 1 question paper
Chapter: [14] Linear Programming
Concept: Basic Concepts of Linear Programming

Heramb requires at most 400 calories from his breakfast. Every morning he likes to take oats and milk. If each bowl of oats and a glass of milk provides him 80 calories and 50 calories respectively, then as a constraint this information can be expressed as ______

Appears in 1 question paper
Chapter: [14] Linear Programming
Concept: Basic Concepts of Linear Programming

Conditions under which the object function is to be maximum or minimum are called ______.

Appears in 1 question paper
Chapter: [14] Linear Programming
Concept: Basic Concepts of Linear Programming

A job production unit has four jobs A, B, C, D which can be manufactured on each of the four machines P, Q, R and S. The processing cost of each job is given in the following table:

         Jobs

 

 

                          Machines

P

Q

R

S

                Processing Cost (Rs.)

 

A

31

25

33

29

B

25

24

23

21

C

19

21

23

24

D

38

36

34

40

 How should the jobs be assigned to the four machines so that the total processing cost is minimum?

Appears in 1 question paper
Chapter: [15] Assignment Problem and Sequencing
Concept: Assignment Problem
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