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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 - Mathematics and Statistics

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प्रश्न

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
सारिणी
योग

उत्तर

Commodity Base Year Current Year    
p0 q0 p1 q1 p0q0 p1q1
A 30 13 40 15 390 600
B 40 15 70 20 600 1400
C 10 12 60 22 10 1320
D 50 10 90 18 500 1620
E 20 14 100 16 280 1600
Total 1890 6540

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

= `6540/1890 xx 100`

= 346.03

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 2.5: Index Numbers - Q.4

संबंधित प्रश्न

Complete the Correlation:

Price Index : Inflation :: ______ : Agricultural production


Choose the correct alternative :

Price Index Number by Simple Aggregate Method is given by


Choose the correct alternative :

Quantity 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 :

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


Fill in the blank :

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


Fill in the blank :

Quantity 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

Choose the correct alternative:

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


Price 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


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


State whether the following statement is True or False:

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


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 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

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.


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) `(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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