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महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

Quantity Index Number by Weighted Aggregate Method is given by ______. - Mathematics and Statistics

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प्रश्न

Quantity Index Number by Weighted Aggregate Method is given by ______.

रिकाम्या जागा भरा

उत्तर

Quantity Index Number by Weighted Aggregate Method is given by `bbunderline((sumq_1w)/(sumq_0w) xx 100)`.

Explanation:

The Quantity Index Number by the Weighted Aggregate Method is given by Q1 = `((sumq_1w)/(sumq_0w) xx 100)` where quantities are weighted to reflect their relative importance.

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पाठ 2.5: Index Numbers - Q.2

संबंधित प्रश्‍न

Complete the Correlation:

Price Index : Inflation :: ______ : Agricultural production


Choose the correct alternative :

Price Index Number by Simple Aggregate Method is given by


Quantity Index Number by Weighted Aggregate Method is given by ______.


Choose the correct alternative :

Value Index Number by Weighted Aggregate Method is given by


Fill in the blank :

Value Index Number by Simple Aggregate Method is given by _______.


Fill in the blank :

Price Index Number by Weighted Aggregate Method is given by _______.


`sum ("p"_0"q"_0)/("p"_1"q"_1) xx 100` is Value Index Number by Simple Aggregate Method.


Solve the following problem :

Find the Price Index Number using Simple Aggregate Method. Consider 1980 as base year.

Commodity Price in 1980 (in ₹) Price in 1985 (in ₹)
I 22 46
II 38 36
III 20 28
IV 18 44
V 12 16

Solve the following problem :

Find the Value Index Number using Simple Aggregate Method.

Commodity Base Year Current Year
  Price Quantity Price Quantity
I 20 42 22 45
II 35 60 40 58
III 50 22 55 24
IV 60 56 70 62
V 25 40 30 41

Choose the correct alternative:

`(sum"p"_1"q"_1"w")/(sum"p"_0"q"_0"w") xx 100` gives


State whether the following statement is True or False:

The three types of Index numbers are
i. Price Index Number
ii. Quantity Index Number
iii. Value Index Number


State whether the following statement is True or False:

`sum("q"_1)/("q"_0) xx 100` is the Quantity Index Number by Simple Aggregate Method


Find Quantity Index Number using Simple Aggregate method

Commodity A B C D E
Base year Quantity 170 150 100 195 205
Current year Quantity 90 70 75 150 95

Calculate Quantity Index Number using Simple Aggregate method

Commodity I II III IV V
Base year Quantity 140 120 100 200 225
Current year Quantity 100 80 70 150 185

Find x if the Price Index Number by Simple Aggregate Method is 125

Commodity P Q R S T
Base Year Price (in ₹) 10 8 12 24 18
Current Year Price (in ₹) 14 10 x 28 22

Find values x and y if the Price Index Number by Simple Aggregate Method by taking 2001 as base year is 120, given `sum"p"_1` = 300.

Commodity A B C D
Price (in ₹) in 2001 90 x 90 30
Price (in ₹) in 2004 95 60 y 35

Find x from following data if the Value Index Number is 200.

Commodity Base Year Current Year
Prive Quantity Price Quantity
A 10 10 20 10
B 8 20 22 15
C 2 x 8 10
D 9 10 16 10
E 5 6 3 10

Choose the correct pair:

Group A Group B
A. Price Index (a) `(sump_1q_1)/(sump_0q_0) xx 100`
B. Value Index (b) `(sumq_1)/(sumq_0) xx 100`
C. Quantity Index (c) `(sump_1q_1)/(sump_0q_1) xx 100`
D. Paasche's Index (d) `(sump_1)/(sump_0) xx 100`

Calculate the price index number for the given data.

Commodity A B
Price in 2020 (₹) 20 30
Price in 2021 (₹) 40 40

State with reason whether you agree or disagree with the following statement:

The quantity index number is one type of index number.


Give an economic term:

An index number measuring the general changes in the prices of goods over a period of time.


Explain the meaning of the Price Index Number.


Observe the following table and answer the questions given below it:

Commodities Prices in 2006 (in ₹) (Base Year) P0 Prices in 2006 (in ₹) (Current Year) P1
A 20 30
B 30 45
C 40 60
D 50 75
E 60 90

Questions:

  1. Write the formula for calculation of price index.
  2. Find the value of ∑P0 and ∑P1.
  3. Find the price index P01.

Choose the correct pair :

  Group A   Group B
1) Price Index a) `(sump_1q_1)/(sump_0q_0) xx 100`
2) Value Index b) `(sumq_1)/(sumq_0) xx 100`
3) Quantity Index c) `(sump_1q_1)/(sump_0q_1) xx 100`
4) Paasche's Index d) `(sump_1)/(sump_0) xx 100`

Choose the correct pair:

  Group A   Group B
1) Price Index a) `(sum"p"_1"q"_1)/(sum"p"_0"q"_0)xx100`
2) Value Index b) `(sum"q"_1)/(sumq"_0)xx100`
3) Quantity Index c) `(sum"p"_1"q"_1)/(sum"p"_0"q"_1)xx100`
4) Paasche's Index d) `(sum"p"_1)/(sum"p"_0")xx100`

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