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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 - Mathematics and Statistics

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Question

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
Chart
Sum

Solution

Commodity Price in 2005 (in ₹)
(Base year) p0
Price in 2015(in ₹)
(Current year p1)
P 10 32
Q 25 40
R 14 20
S 20 45
T 30 70
Total 99 207

From the table `sum"p"_0` = 99, `sum"p"_1` = 207

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

= `207/99 xx 100`

= 209.09

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Chapter 2.5: Index Numbers - Q.4

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Fill in the blank :

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


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


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


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


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Value Index Number by Weighted Aggregate Method is given by _______.


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Find the Quantity Index Number using Simple Aggregate Method.

Commodity Base year quantity Current year quantity
A 100 130
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C 210 250
D 90 110
E 50 150

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`sum("q"_1)/("q"_0) xx 100` is the Quantity Index Number by Simple Aggregate Method


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Base year Quantity 140 120 100 200 225
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Commodity Price (in ₹) for
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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

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) `(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`

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`

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Price in 2020 (₹) 20 30
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An index number measuring the general changes in the prices of goods over a period of time.


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Choose the correct pair :

Group A Group B
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`(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`

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`

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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