Fill in the blank : Quantity Index Number by Simple Aggregate Method is given by _______. - Mathematics and Statistics

Question

Fill in the blank :

Quantity Index Number by Simple Aggregate Method is given by _______.

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Solution

Quantity Index Number by Simple Aggregate Method is given by $\frac{\sum q_{1}}{\sum q_{0}} \times 100$ .

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Types of Index Numbers

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Q 2.02 Q 2.01 Q 2.03

Chapter 5: Index Numbers - Miscellaneous Exercise 5 [Page 91]

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Balbharati Mathematics and Statistics 2 (Commerce) [English] 12 Standard HSC Maharashtra State Board

Chapter 5 Index Numbers
Miscellaneous Exercise 5 | Q 2.02 | Page 91

RELATED QUESTIONS

Complete the Correlation:

Price Index : Inflation :: ______ : Agricultural production

Fill in the blank :

Price Index Number by Simple Aggregate Method is given by _______.

State whether the following is True or False :

$\frac{\sum p_{1}}{\sum p_{0}} \times 100$ is the price Index Number by Simple Aggregate Method.

Choose the correct alternative:

$\frac{\sum p_{1} q_{1} w}{\sum p_{0} q_{0} w} \times 100$ 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

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 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 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

Find x from following data if the Value Index Number is 200.

Commodity	Base Year		Current Year
Commodity	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

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

Choose the correct pair :

Group A	Group B
1) Price Index	a) $\frac{\sum p_{1} q_{1}}{\sum p_{0} q_{0}} \times 100$
2) Value Index	b) $\frac{\sum q_{1}}{\sum q_{0}} \times 100$
3) Quantity Index	c) $\frac{\sum p_{1} q_{1}}{\sum p_{0} q_{1}} \times 100$
4) Paasche's Index	d) $\frac{\sum p_{1}}{\sum p_{0}} \times 100$

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.

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:

Write the formula for calculation of price index.
Find the value of ∑P₀ and ∑P₁.
Find the price index P₀₁.

Choose the correct pair:

	Group A		Group B
1)	Price Index	a)	$\frac{\sum p_{1} q_{1}}{\sum p_{0} q_{0}} \times 100$
2)	Value Index	b)	$\frac{\sum q_{1}}{\sum q_{0}} \times 100$
3)	Quantity Index	c)	$\frac{\sum p_{1} q_{1}}{\sum p_{0} q_{1}} \times 100$
4)	Paasche's Index	d)	$\frac{\sum p_{1}}{\sum p_{0}} \times 100$

Fill in the blank : Quantity Index Number by Simple Aggregate Method is given by _______. - Mathematics and Statistics

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