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

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 - Mathematics and Statistics

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प्रश्न

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
तक्ता
बेरीज

उत्तर

Commodity Base year quantity (q0) Current year quantity (q1)
A 170 190
B 150 70
C 100 75
D 195 150
E 205 95
Total 820 480

From the table `sum"q"_0` = 820, `sum"q"_1` = 480

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

= `480/820 xx 100`

= 58.54

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पाठ 2.5: Index Numbers - Q.4

संबंधित प्रश्‍न

Choose the correct alternative :

Price Index Number by Simple Aggregate Method is given by


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 :

Quantity 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 _______.


Choose the correct alternative:

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


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


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

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 values x and y if the Price Index Number by Simple Aggregate Method by taking 2001 as base year is 120, given `sum"p"_1` = 300.

Commodity A B C D
Price (in ₹) in 2001 90 x 90 30
Price (in ₹) in 2004 95 60 y 35

Choose the correct pair :

Group A Group B
1) Price Index a) `(sum p_1q_1)/(sum p_0q_0) xx 100`
2) Value Index b) `(sum q_1)/(sum q_0) xx 100`
3) Quantity Index c) `(sum p_1q_1)/(sum p_0 q_1) xx 100`
4) Paasche's Index d) `(sum p_1)/(sum p_0) xx 100`

Calculate the price index number for the given data.

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

Give an economic term:

An index number measuring the general changes in the prices of goods over a period of time.


Choose the correct pair :

Group A Group B
1) Price Index a)

`(sump1q1)/(sump0q0)xx100`

2) Value Index b) `(sumq1)/(sumq0)xx100`
3) Quantity Index c) `(sump1q1)/(sump0q1)xx100`
4) Paasche's Index d) `(sump1)/(sump0)xx100`

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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