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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
सारिणी
योग

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

संबंधित प्रश्न

Distinguish between:

Price Index and Quantity Index.


Choose the correct alternative :

Quantity 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 :

Price 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 :

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

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


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


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

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

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`

Calculate the price index number for the given data.

Commodity A B
Price in 2020 (₹) 20 30
Price in 2021 (₹) 40 40

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.


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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