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महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

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 - Mathematics and Statistics

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प्रश्न

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
तक्ता
बेरीज

उत्तर

Commodity Base Year
Quantities q0
Current Year
Quantities q1
I 140 100
II 120 80
III 100 70
IV 20 150
V 255 185
Tota 785 585

From the table, `sum"q"_0` = 785, `sum"q"_1` = 585

Quantity Index Number (Q01) = `(sum"q"_1)/(sum"q"_0) xx 100`

= `585/785 xx 100`

= 74.52

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2.5: Index Numbers - Q.4

संबंधित प्रश्‍न

Complete the Correlation:

Price Index : Inflation :: ______ : Agricultural production


Quantity Index Number by Weighted 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 _______.


State whether the following is True or False :

`(sum"p"_1)/(sum"p"_0) xx 100` is the price Index Number by Simple Aggregate Method.


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

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 ______.


Price Index Number by Weighted Aggregate Method is given by ______


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

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 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 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

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`

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`

Identify and explain the concept from the given illustration:

Mihir prepared the share price index number.


State with reasons whether you agree or disagree with the following statement.

There are many types of index numbers.


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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