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Find Price Index Number using Simple Aggregate method by taking 2000 as base year Commodity Price (in ₹) for year 2000 Price (in ₹) for year 2007 Watch 900 1,475 Shoes 1,760 2,300 Sunglasses 60 1,040 - Mathematics and Statistics

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प्रश्न

Find Price Index Number using Simple Aggregate method by taking 2000 as base year

Commodity Price (in ₹) for
year 2000
Price (in ₹) for
year 2007
Watch 900 1,475
Shoes 1,760 2,300
Sunglasses 60 1,040
Mobile 4,500 8,500
तक्ता
बेरीज

उत्तर

Commodity Price in 2000
(Base year) p0
Price in 2007
(Current year) p1
Watch 900 1,475
Shoes 1,760 2,300
Sunglasses 60 1,040
Mobile 4,500 8,500
Total 7,760 13,315

From the table, `sum"p"_0` = 7,760, `sum"p"_1` = 13,315

Price Index Number (P01) = `(sum"p"_1)/(sum"p"_0) xx 100`

= `(13,315)/(7,760) xx 100`

=171.59

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पाठ 2.5: Index Numbers - Q.4

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 :

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

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


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 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 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

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

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) `(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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