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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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Question

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
Chart
Sum

Solution

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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Chapter 2.5: Index Numbers - Q.4

RELATED QUESTIONS

Choose the correct alternative :

Price Index Number by Simple 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 _______.


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.


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 ______.


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 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

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`

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

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.


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.

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