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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
बेरीज

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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पाठ 5: Index Numbers - Miscellaneous Exercise 5 [पृष्ठ ९२]

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

संबंधित प्रश्‍न

Distinguish between:

Price Index and Quantity Index.


Choose the correct alternative :

Value Index Number by Weighted Aggregate Method is given by


Fill in the blank :

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


Fill in the blank :

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


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

Explain the types of index numbers.


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


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


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 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

The Price Index Number for year 2004, with respect to year 2000 as base year. is known to be 130. Find the missing numbers in the following table if ∑p0 = 320

Commodity A B C D E F
Price (in ₹) in 2000 40 50 30 x 60 100
Price (in ₹) in 2000 50 70 30 85 y 115

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`

Identify and explain the concept from the given illustration:

Mihir prepared the share price index number.


State with reasons whether you agree or disagree with the following statement.

There are many types of index numbers.


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) `(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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