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

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प्रश्न

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
बेरीज

उत्तर

Commodity Base Year Current Year p0q0 p1q1
  p0 q0 p1 q1    
I 20 42 22 45 840 990
II 35 60 40 58 2100 2320
III 50 22 55 24 1100 1320
IV 60 56 70 62 3360 4340
V 25 40 30 41 1000 1230
Total 8400 10200

From the table, `sum"p"_1"q"_1 = 8,400, sum"p"_1"q"_1 = 10,200`

Value Index Number (V01) = `(sum"p"_1"q"_1)/(sum"p"_0"q"_0) xx 100`

= `(10200)/(8400) xx 100`

= 121.43

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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 4.03 | पृष्ठ ९२

संबंधित प्रश्‍न

Complete the Correlation:

Price Index : Inflation :: ______ : Agricultural production


Choose the correct alternative :

Value Index Number by Weighted Aggregate Method is given by


Fill in the blank :

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


Fill in the blank :

Quantity Index Number by Simple 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 _______.


Explain the types of index numbers.


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

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 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

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) `(sum p_1q_1)/(sum p_0q_0) xx 100`
2) Value Index b) `(sum q_1)/(sum q_0) xx 100`
3) Quantity Index c) `(sum p_1q_1)/(sum p_0 q_1) xx 100`
4) Paasche's Index d) `(sum p_1)/(sum p_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

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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