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Find x if the cost of living index is 150.
| Group | Food | Clothing | Fuel & Lighting | House Rent | Miscellaneous |
| I | 180 | 120 | 300 | 100 | 160 |
| W | 4 | 5 | 6 | x | 3 |
Concept: Method of Constructing Cost of Living Index Numbers - Family Budget Method
Base year weights (W) and current year price relatives (I) are given in Problem. Calculate the cost of living index in:
Find y if the cost of living index is 200.
| Group | Food | Clothing | Fuel & Lighting | House Rent | Miscellaneous |
| I | 180 | 120 | 160 | 300 | 200 |
| W | 4 | 5 | 3 | y | 2 |
Concept: Method of Constructing Cost of Living Index Numbers - Family Budget Method
Choose the correct alternative :
The price Index Number by Weighted Aggregate Method is given by ______.
Concept: Construction of Index Numbers >> Weighted Aggregate Method
Paasche’s Price Index Number is given by ______.
Concept: Construction of Index Numbers >> Weighted Aggregate Method
Dorbish-Bowley’s Price Index Number is given by ______.
Concept: Construction of Index Numbers >> Weighted Aggregate Method
Walsh’s Price Index Number is given by _______.
Concept: Construction of Index Numbers >> Weighted Aggregate Method
`(sump_1q_0)/(sump_0q_0) xx 100` is Paasche’s Price Index Number.
Concept: Construction of Index Numbers >> Weighted Aggregate Method
`(sump_0(q_0 + q_1))/(sump_1(q_0 + q_1)) xx 100` is Marshall-Edgeworth’s price index number.
Concept: Construction of Index Numbers >> Weighted Aggregate Method
Find x if Laspeyre’s Price Index Number is same as Paasche’s Price Index Number for the following data
| Commodity | Base Year | Current Year | ||
| Price p0 |
Quantity q0 |
Price p1 |
Quantity q1 |
|
| A | 3 | x | 2 | 5 |
| B | 4 | 6 | 3 | 5 |
Concept: Construction of Index Numbers >> Weighted Aggregate Method
Solve the following problem:
If find x is Walsh’s Price Index Number is 150 for the following data
| Commodity | Base Year | Current Year | ||
| Price p0 |
Quantity q0 |
Price p1 |
Quantity q1 |
|
| A | 5 | 3 | 10 | 3 |
| B | x | 4 | 16 | 9 |
| C | 15 | 5 | 23 | 5 |
| D | 10 | 2 | 26 | 8 |
Concept: Construction of Index Numbers >> Weighted Aggregate Method
Choose the correct alternative:
Walsh's Price Index Number is given by
Concept: Construction of Index Numbers >> Weighted Aggregate Method
Marshall-Edgeworth's Price Index Number is given by ______
Concept: Construction of Index Numbers >> Weighted Aggregate Method
Calculate
a) Laspeyre’s
b) Passche’s
c) Dorbish-Bowley’s Price Index Numbers for following data.
| Commodity | Base Year | Current Year | ||
| Price | Quantity | Price | Quantity | |
| A | 10 | 9 | 50 | 8 |
| B | 20 | 5 | 60 | 4 |
| C | 30 | 7 | 70 | 3 |
| D | 40 | 8 | 80 | 2 |
Concept: Construction of Index Numbers >> Weighted Aggregate Method
Given P01(M-E) = 120, `sum"p"_1"q"_1` = 300, `sum"p"_0"q"_0` = 120, `sum"p"_0"q"_1` = 320, Find P01(L)
Concept: Construction of Index Numbers >> Weighted Aggregate Method
Find the missing wage if the Cost of Living Index for the following data is 150.
| Group | Food | Clothing | Fuel and Lighting |
House Rent |
Miscellaneous |
| I | 200 | 150 | 140 | 100 | 120 |
| W | 6 | 4 | x | 3 | 4 |
Concept: Method of Constructing Cost of Living Index Numbers - Family Budget Method
The Cost of Living Index Numbers for years 2003 and 2008 are 150 and 200 respectively. A person earned ₹ 18,000 per month in year 2003. What should be his earning per month in year 2008, so as to maintain same standard of living as 2003?
Concept: Uses of Cost of Living Index Number
State whether the following statement is true or false:
Dorbish-Bowley's Price Index Number is the square root of the product of Laspeyre's and Paasche's Index Numbers.
Concept: Construction of Index Numbers >> Weighted Aggregate Method
If P01 (L) = 121, P01 (P) = 100, then P01 (F) = ______.
Concept: Construction of Index Numbers >> Weighted Aggregate Method
Calculate the cost of living index number for the following data by aggregative expenditure method:
| Group | Base year | Current year | |
| Price | Quantity | Price | |
| Food | 120 | 15 | 170 |
| Clothing | 150 | 20 | 190 |
| Fuel and lighting | 130 | 30 | 220 |
| House rent | 160 | 10 | 180 |
| Miscellaneous | 200 | 11 | 220 |
Concept: Method of Constructing Cost of Living Index Numbers - Aggregative Expenditure Method
`sqrt((sump_1q_0)/(sump_0q_0)) xx sqrt((sump_1q_1)/(sump_0q_1)) xx 100`
Concept: Construction of Index Numbers >> Weighted Aggregate Method
