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Solve the following problem : Find the Quantity Index Number using Simple Aggregate Method. - Mathematics and Statistics

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प्रश्न

Solve the following problem :

Find the Quantity Index Number using Simple Aggregate Method.

Commodity Base year quantity Current year quantity
A 100 130
B 170 200
C 210 250
D 90 110
E 50 150
योग

उत्तर

Commodity Base Year
Quantity q0
Current Year
Quantity q1
A 100 130
B 170 200
C 210 250
D 90 110
E 50 150
Total 620 840

From the table, `sum"q"_0 = 620, sum"q"_1 = 840`

Quantity Index Number (Q01) = `(sum"q"_1)/(sum"q"_0) xx 100`

= `(840)/(620) xx 100`

= 135.48

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Index Numbers - Miscellaneous Exercise 5 [पृष्ठ ९२]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Commerce) [English] 12 Standard HSC Maharashtra State Board
अध्याय 5 Index Numbers
Miscellaneous Exercise 5 | Q 4.02 | पृष्ठ ९२

संबंधित प्रश्न

Fill in the blank :

Value 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.


Choose the correct alternative:

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


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


Price Index Number by Weighted Aggregate Method is given by ______


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 Price Index Number using Simple Aggregate method by taking 2005 as base year.

Commodity P Q R S T
Price in 2005 (in ₹) 10 25 14 20 30
Price in 2015 (in ₹) 32 40 20 45 70

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 Value Index Number for the following using Simple Aggregate Method

Commodity Base Year Current Year
Price Quantity Price  Quantity
A 30 13 40 15
B 40 15 70 20
C 10 12 60 22
D 50 10 90 18
E 20 14 100 16

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

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`

Choose the correct pair:

Group A Group B
1) Price Index a) `(sump_1q_1)/(sump_0 q_0) × 100`
2) Value Index b) `(sumq_1)/(sumq_0) × 100`
3) Quantity Index c) `(sump_1q_1)/(sump_0 q_1) × 100`
4) Paasche's Index d) `(sump_1)/(sump_0) × 100`

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.


Identify and explain the concept from the given illustration:

Pooja collected information regarding a change in the quantity of imports of India from 2019 to 2020 and prepared an 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`

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