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HSC Commerce (English Medium) १२ वीं कक्षा - Maharashtra State Board Important Questions for Mathematics and Statistics

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Find x if the cost of living index is 150.

Group Food Clothing Fuel & Lighting House Rent  Miscellaneous
I 180 120 300 100 160
W 4 5 6 x 3
Appears in 1 question paper
Chapter: [13] Index Numbers
Concept: Method of Constructing Cost of Living Index Numbers - Family Budget Method

Base year weights (W) and current year price relatives (I) are given in Problem. Calculate the cost of living index in:

Find y if the cost of living index is 200.

Group Food Clothing Fuel & Lighting House Rent Miscellaneous
I 180 120 160 300 200
W 4 5 3 y 2
Appears in 1 question paper
Chapter: [13] Index Numbers
Concept: Method of Constructing Cost of Living Index Numbers - Family Budget Method

Choose the correct alternative :

The price Index Number by Weighted Aggregate Method is given by ______.

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

Paasche’s Price Index Number is given by ______.

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

Dorbish-Bowley’s Price Index Number is given by ______.

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

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

`(sump_1q_0)/(sump_0q_0) xx 100` is Paasche’s Price Index Number.

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

`(sump_0(q_0 + q_1))/(sump_1(q_0 + q_1)) xx 100` is Marshall-Edgeworth’s price index number.

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

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
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