Index Numbers

Fisher's Ideal Price Index is defined as the _________ of the Laspeyres and the Paasche's Index.

Which index number method uses current year quantities as weights?

The number of tests of Adequacy

Fishers' Ideal Index number is

Time reversal and factor reversal are:

A series of numerical figures which show the relative position is called

The number of test of Adequacy is:

$\displaystyle P_{01}$ is the index for time

The circular test is an extension of

Price - relative is expressed in term of

Circular test is satisfied by

The multiplicative time series model is (from Time Series Topic - deleted from syllabus)

Which of the following statement is true?

The simple average method is used to calculate (Time Series Topic - deleted from syllabus)

The sale of Cold Drink would go up in summers and go down in the winters is an example of

Which is called an ideal index numbers

In semi averages method, if the number of values is odd then we drop (Time Series Topic - deleted from syllabus)

Which is not satisfied by Fisher's ideal index number?

Trend in semi average is:(Time Series Topic - deleted from syllabus)

The most commonly used mathematical method for finding secular trend is (Time Series Topic - deleted from syllabus)

When sale of cold drink increases in summer and decreases in winters is an example of?

Seasonal variations take place within:(Time Series Topic - deleted from syllabus)

Fisher's index number does not satisfy:

In semi-average method if the no. of values is odd, we exclude:(Time Series Topic - deleted from syllabus)

Fisher's ideal index number does not satisfy

Index numbers are expressed as

The cost of living index is always

Fisher's index number does not satisfy

When the prices for quantities consumed of all commodities are changing in the same ratio, then the index numbers due to Laspeyre's and Paasche's will be.

If $\displaystyle P_{0n}$ and $\displaystyle P_{n0}$ are index for $\displaystyle 1$ on $\displaystyle 0$ and $\displaystyle 0$ on $\displaystyle 1$ respec. then formula $\displaystyle P_{01} \times P_{10} = 1$ is used for

The weighted averaged of price relatives of commodities, when the weights are equal to the value of commodities in the current year, yields _________ index number.

Index numbers are not helpful in

The three index numbers, namely, Laspeyre, Paasche and Fisher do not satisfy ____ test.

Geometric mean method used in which index number to find it out

Which test is known for shift base index no.

Laspeyre and Paasche do not satisfy ____.

Laspeyre's index number is based on?

Price relative is-

Which one of the following is not appropriate for calculation of index number?

Which of the following index measures the change from month to month in the cost of a representative basket of goods and services of the type which are bought by a typical household?

Fisher's index number is called as ideal index number because it is satisfying

In price index, when a new commodity is required to be added, which of the following index is used?

Which of the below index is computed by taking the average of base year and current year?

Weighted geometric mean of relative formula satisfies ____ test while Factor Reversal test is satisfied by ____.

An index number constructed to measure the relative change in the price of an item or a group of item is called:

Fisher's index does not satisfy following test

The average of base year and current years is used in ____ index number

What index number formula satisfies both the time reversal and factor reversal tests?

What of the following is not a test of adequacy in the context of index numbers?

Which index number formula does not satisfy the time reversal test?

Time reversal test is satisfied by:

The value index is equal to:

Which one of the following test of adequacy is concerned with the measurement of price changes over a period of years, when it is desirable to shift the base?

The ____ is satisfied when $\displaystyle P_{01} \times P_{10} = 1$

Fishers Ideal Formula satisfies (1) Unit Test (2) Circular Test (3) Factor Reversal Test (4) Time Reversal Test

While construction of Index numbers which of the following has to be considered as point of reference in company various data describing individual behaviour.

Which of the options does not contain the proper use of Index numbers.

Weighted G.M. of relative formula satisfy --- test

Laspeyre's method and Paasche's method do not satisfy

Fisher's index number is based on

Purchasing Power of Money is

Chain index is equal to

The formula should be independent of the unit in which or for which price and quantities are quoted in

The formula for conversion to current value

Circular test is the extension of

Unit test is not satisfied by

The best average for construction of Index Number is

Fisher's index number satisfies the --- tests

Fisher's ideal index number is

Factor reversal test is satisfied by

The number of test inadequacy is

Fishers Price Index number is said is

Which is called an ideal index number

____________ satisfies circular test

Laspeyres formula does not satisfy

The weighted average of price relatives of commodities when the weight is equal to the value of commodities in base year yields ________ index number

The number of tests of Adequacy is

Fisher's ideal formula for calculating Index number satisfies the

The Circular Test is known as:

Laspeyres index number is a weighted aggregate method by taking ________ as weights.

The number of test adequacy is

Laspeyres method and Paasches method do not satisfy

Fisher's index number is called as ideal index number because it is satisfies.

Which index measures the change from month to month in the cost of a representative basket of goods and services of the type bought by a typical household?

Which test should be considered necessarily to verify the consistency while we select an appropriate index formula

Circular test is satisfied by which of the following index?

The purchasing power of money is ________

Fisher's method of calculating the index number is based on the ________

Fisher index number is ________ of Laspeyres and Paasches Index Number

Circular test is satisfied by which of the below?

The cost of index number is always

Fisher's ideal formula for calculating index number satisfies the ________

Shifted Price Index = $\displaystyle \frac{\text{Original Price Index}}{\text{Price Index of the year on which it has to be shifted}} \times 100$

The number of test of Adequacy in Index numbers:

Circular Test is satisfied by:

Consumer price index is commonly known as

________ is an extension of time reversal test.

Fisher's method for construction of Index Numbers uses________.

The ________ is satisfied when $\displaystyle P_{01} \times P_{10} = 1$.

The tests of shifting bases are called ________.

Purchasing power of money is stated as ________ price index?

When the product of price index and the quantity index is equal to the corresponding value index then the test that holds is

If $\displaystyle \sum P_0q_0 = 1360$, $\displaystyle \sum P_1q_0 = 1900$ $\displaystyle \sum P_0q_1 = 1344$ $\displaystyle \sum P_1q_1 = 1880$ then Laspeyres's Index number is

If the 1970 index with base 1965 is 200 and 1965 index with base 1960 is 150, what will be the index of 1970 on base 1960?

If Laspeyres's Index Number is 250 and Paasche's Index Number is 160, then Fisher's Index number is

If $\displaystyle \sum P_0q_0 = 240$, $\displaystyle \sum P_1q_0 = 480$, $\displaystyle \sum P_0q_1 = 600$ and $\displaystyle \sum P_1q_1 = 192$, then Laspeyres's Index Number is

The prices and quantities of 3 commodities in base and current years are as follows: | | $\displaystyle P_0$ | $\displaystyle q_0$ | $\displaystyle P_1$ | $\displaystyle q_1$ | |---|---|---|---|---| | T2 | 12 | 14 | 20 | 20 | | T0 | 8 | 10 | 20 | 30 | | T8 | 10 | 30 | 10 | 10 | The Laspeyre price index is

The cost of living index numbers in years 2015 and 2018 were 97.5 and 115 respectively. The salary of a worker in 2015 was $\displaystyle 19500$. How much additional salary was required for him in 2018 to maintain the same standard of living as in 2015?

The index number of prices at place in the year 2008 is 225 with 2004 as the base then there is:

In Laspeyre's index number is 110 and Fisher's ideal index number is 109. Then Paasche's index number is

The weighted aggregate price index turnover for 2001 with 2000 as the base year using Fisher's Index Number is: | Commodity | Price (In $) | Quantity | |---|---|---| | | 2000 | 2001 | 2000 | 2001 | | A | 10 | 12 | 20 | 22 | | B | 8 | 8 | 16 | 18 | | C | 5 | 6 | 10 | 11 | | D | 4 | 7 | 8 | 7 |

The weighted aggregate price index turnover for 2001 with 2000 as the base year using Paasche's Index Number is: | Commodity | Price (In $) | Quantities | |---|---|---| | | 2000 | 2001 | 2000 | 2001 | | A | 10 | 12 | 20 | 22 | | B | 8 | 8 | 16 | 18 | | C | 5 | 6 | 10 | 11 | | D | 4 | 7 | 8 | 7 |

If in an additive model, O refers to original data as 875, T refers to trend 700, S refers to seasonal variations 200, C refers to cyclical variations 75 then the value of I which refers to irregular variation is:

The weighted aggregative price index turnover for 2001 with 2000 as the base year using Marshall Edgeworth Index Number is: | Commodity | Price In ($) | Quantities | |---|---|---| | | 2000 | 2001 | 2000 | 2001 | | A | 10 | 12 | 20 | 22 | | B | 8 | 8 | 16 | 18 | | C | 5 | 6 | 10 | 11 | | D | 4 | 7 | 8 | 7 |

The consumer price index goes up from 120 to 180 when salary goes up from 240 to 540, what is the increase in real terms?

From the following data base year: | Commodity | Base Year | Current Year | |---|---|---| | | Price | Qty | Price | Qty | | A | 4 | 3 | 6 | 2 | | B | 5 | 4 | 6 | 4 | | C | 7 | 2 | 8 | 5 | | D | 2 | 3 | 1 | 5 | Fisher's Ideal Index is

Consider the data: Year Base year Current year Commodities Price Quantity Price Quantity A 10 5 20 2 B 15 4 25 8 C 20 2 30 4 D 25 3 40 4. Laspeyre's index is

The index number of prices for a country at a given data is $\displaystyle 250$. In comparison to the base period price, the price of all commodities in the country has increased by ______ times.

If Fisher's index number is $\displaystyle 160$ and Paasche's index number is $\displaystyle 140$, then Laspeyre's index number is

The gross monthly pay of an employee was $\displaystyle 15,000$ in a year $\displaystyle 2020$. The consumer price index number in $\displaystyle 2023$ is $\displaystyle 155$ with $\displaystyle 2020$ as base year. If employee is to rightly compensate what dearness allowance is required to be paid?

If the Laspeyre's index is $\displaystyle 110$ and Paasche's index is $\displaystyle 108$, then what is the value of Fisher's index?

From the year $\displaystyle 2013$ to $\displaystyle 2023$, Consumer price index number is increased from $\displaystyle 135$ to $\displaystyle 180$. During this period, salary of the employees as per pay commission recommendation goes up from $\displaystyle 25,000$ to $\displaystyle 30,000$. In real terms, an employee should get following additional amount (upto nearest whole number) to maintain his previous standard of living

If the prices of all commodities in the base year are twice the values of the respective commodities in the current year, then the Fisher's ideal index number is equal to:

The consumer price index for the year $\displaystyle 2023$ is $\displaystyle 273$ with $\displaystyle 2010$ as base year. The average monthly wages of industrial worker in year $\displaystyle 2023$ is $\displaystyle 8,190$. What is the real wage?

During a certain period the cost of living index goes up from $\displaystyle 110$ to $\displaystyle 200$ and the salary of a worker is also raised from $\displaystyle 330$ to $\displaystyle 500$. Then in the real terms, the raise in salary is effectively-

The index number of prices at a place in $\displaystyle 2008$ is $\displaystyle 355$ with $\displaystyle 2003$ as base. This means

The Paasches and Fishers index numbers are $\displaystyle 169$ and $\displaystyle 156$ respectively, then Laspeyre's Index number is

The whole sale price index number or agricultural commodities in a given region at a given date is $\displaystyle 280$. The percentage increase in prices of agricultural commodities over the base year is:

During the certain period the C.L.I. goes up from $\displaystyle 110$ to $\displaystyle 200$ and the Salary of a worker is also raised from $\displaystyle 330$ to $\displaystyle 500$, then the change in real terms is

In year $\displaystyle 2005$, the whole sale price index number is $\displaystyle 386$ with $\displaystyle 1985$ as base year. By how much the prices have increased in $\displaystyle 2005$ in comparison to $\displaystyle 1995$?

The prices of commodity in the year $\displaystyle 2015$ and $\displaystyle 2020$ were $\displaystyle 25$ and $\displaystyle 30$ respectively taking $\displaystyle 2020$ as base year the price relative is

For year $\displaystyle 2015$, price index was $\displaystyle 267\%$ with base year $\displaystyle 2005$. The percentage increase in price index over base year $\displaystyle 2005$ is:

If an increase of $\displaystyle 10\%$ in prices. The rise in wages is $\displaystyle 20\%$ then the real wage has increased by

The cost of living index numbers in years $\displaystyle 2015$ and $\displaystyle 2021$ were $\displaystyle 97.5$ and $\displaystyle 115$ respectively. The salary of a worker in $\displaystyle 2015$ was $\displaystyle 19,500$. How much additional salary is required for him in $\displaystyle 2021$ to maintain living standard of $\displaystyle 2015$?

If Laspeyre's index number is $\displaystyle 250$ and Paasche's index number is $\displaystyle 160$, then Fishers Index is

If the price of a commodity in a place have decreased by $\displaystyle 30\%$ over the based period places, then the index number of that place is

From the following data for the $\displaystyle 5$ groups combined: Group Weights Index no Food 35 425 cloth 15 235 Power & Fuel 20 215 Rent & Rates 8 115 Miscellaneous 22 150. The general Index number is

If $\displaystyle \sum P_0 Q_0 = 1360$, $\displaystyle \sum P_1 Q_0 = 1900$, $\displaystyle \sum P_0 Q_1 = 1880$ then the Laspeyre's Index is

The consumer price index for April $\displaystyle 1985$ was $\displaystyle 125$. The food price index was $\displaystyle 120$ and other items index was $\displaystyle 135$. The percentage of food out of the total weight of the index is

Net monthly salary of an employee was $\displaystyle 3,000$ in $\displaystyle 1980$. The consumer price index number in $\displaystyle 1985$ is $\displaystyle 250$ with $\displaystyle 1980$ as base year. If the has to be rightly compensated then, $\displaystyle 7^{th}$ dearness allowances to be paid to the employee is

The index number for the year $\displaystyle 2012$ taking $\displaystyle 2011$ as the base year from the data given below by using simple average of price relative method isCommodity | A | B | C | D | EPrice in 2011 | 115 | 108 | 95 | 95 | 90Price in 2012 | 125 | 117 | 108 | 95 | 95

Suppose a business executive was earning $\displaystyle 2,050$ in the base period. What should his salary in the current period for his standard of living to remain the same? Given $\displaystyle \sum W = 25$ and $\displaystyle \sum IW = 3544$.

Find the Paasche's index number for prices from the followingCommodity | Base Year | Current Year| P | Q | P | QA | 1 | 6 | 3 | 5B | 3 | 5 | 8 | 5C | 4 | 8 | 10 | 6

The simple index number for the current year using simple aggregate method for the following dataCommodity | Base year Price (P0) | Current Year Price (P1)Wheat | 80 | 100Rice | 100 | 150Gram | 120 | 250Pulses | 200 | 300

The cost-of-living index number in year $\displaystyle 2015$ and $\displaystyle 2018$ were $\displaystyle 97.5$ and $\displaystyle 115$ respectively. The salary of CA Jitendra in $\displaystyle 2015$ was $\displaystyle 195000$. How much additional salary was required for him in $\displaystyle 2018$ to maintain the same standard of living as in $\displaystyle 2015$?

Consumer Price Index Number goes up from $\displaystyle 100$ to $\displaystyle 200$ and salary of a worker is also raised from $\displaystyle 300$ to $\displaystyle 500$, then Real Wage is

In the data group, Bowley's and Laspeyre's index number is as follows. Bowley's index number is $\displaystyle 150$, Laspeyre's index number is $\displaystyle 180$ then Paasche's index number is

The prices and quantities of $\displaystyle 3$ commodities in base and current years are as follows:$\displaystyle P_0$ | $\displaystyle P_1$ | $\displaystyle Q_0$ | $\displaystyle Q_1$12 | 14 | 10 | 2010 | 8 | 20 | 308 | 10 | 30 | 10The Laspeyre's Price Index Number is:

The cost of living index number in year $\displaystyle 2015$ and $\displaystyle 2018$ were $\displaystyle 97.5$ and $\displaystyle 115$ respectively. The salary of a worker in $\displaystyle 2015$ was $\displaystyle 195000$. How much additional salary was required for him in $\displaystyle 2018$ to maintain the same standard of living as in $\displaystyle 2015$?

From the following data constructed the index number by Laspeyre's method$\displaystyle \sum P_1 Q_0 = 100$, $\displaystyle \sum P_0 Q_0 = 86$,$\displaystyle \sum P_1 Q_1 = 83$, $\displaystyle \sum P_0 Q_1 = 106$

If Fisher's index is $\displaystyle 150$ and Paasche's Index is $\displaystyle 144$, then Laspeyre's index is

If Laspeyres index is A and Fisher's index is B. Find the value of Paasche's index?

$\displaystyle \sum P_1 Q_0 = 1360$, $\displaystyle \sum P_0 Q_0 = 1900$$\displaystyle \sum P_1 Q_1 = 1344$, $\displaystyle \sum P_0 Q_1 = 1880$ then the Laspeyres Index number is

If Laspeyres Index number is $\displaystyle 250$ and Paasches Index number is $\displaystyle 160$, then Fishers Index number

If $\displaystyle \sum P_1 Q_1 = 249$, $\displaystyle \sum P_0 Q_0 = 150$ Paasche's Index Number $\displaystyle = 150$ and Dorbish and Bowley's Index Number $\displaystyle = 145$, then the Fisher's Ideal Index Number is

If the $\displaystyle 2018$ index with base $\displaystyle 2015$ is $\displaystyle 250$ and $\displaystyle 2015$ index with base $\displaystyle 2012$ is $\displaystyle 150$, the index $\displaystyle 2018$ on base $\displaystyle 2012$ will be?

In $\displaystyle 2017$ the average price of a commodity was $\displaystyle 20\%$ more than in $\displaystyle 2016$ but $\displaystyle 20\%$ less than in $\displaystyle 2015$; and more over it was $\displaystyle 50\%$ more than in $\displaystyle 2018$ to price relatives using $\displaystyle 2016$ as base ($\displaystyle 2016$ price relative $\displaystyle 100$) deduce the data is:

From the following dataGroup | A | B | C | D | E | FGroup Index | 120 | 132 | 98 | 115 | 108 | 95Weight | 6 | 3 | 4 | 2 | 1 | 4The general Index (I) is given by:

Consumer price index number goes up from $\displaystyle 110$ to $\displaystyle 200$ and the salary of a worker is also raised from $\displaystyle 7,000$ to $\displaystyle 12,000$. Therefore, in real terms to maintain his previous standard of living he should get an additional amount of -

In the data group, Bowley's and Laspeyre's index number is as follows. Bowley's Index number $\displaystyle = 150$, Laspeyre's index number $\displaystyle = 180$ then Paasche's index number is:

Monthly salary of an employee was $\displaystyle 10,000$ in the year $\displaystyle 2010$ and it was increased to $\displaystyle 22,000$ in the year $\displaystyle 2023$ while the consumer price index number is $\displaystyle 250$ in year $\displaystyle 2023$ with the base year $\displaystyle 2010$, what should be his salary in comparison of consumer price index in the year $\displaystyle 2023$ salary?

The consumer price index in $\displaystyle 1980$ increases by $\displaystyle 80$ per cent as compared to the base $\displaystyle 1980$. A person in $\displaystyle 1980$ getting $\displaystyle 60,000$ per annum should now get

If $\displaystyle \sum P_0Q_0 = 1360$, $\displaystyle \sum P_nQ_0 = 1900$, $\displaystyle \sum P_0Q_n = 1344$, $\displaystyle \sum P_nQ_n = 1880$, then the Laspeyres's Index number is

The index number of prices at a place in 2008 is 355 with 2003 as base. This means -

$\displaystyle \sum P_0Q_0 = 1360$, $\displaystyle \sum P_nQ_0 = 2000$, then the Laspeyres Index number is:

If the index number of prices at a place in 2018 is 280 with 2008 as base year, then the prices have increased on average by

In 1980, the net monthly income of the employee was $\displaystyle \text{₹ } 800/-$ p. m. The consumer price index number was 160 in 1980. It rises to 200 in 1984. If he has to be rightly compensated. The additional D. A. to be paid to the employee is

Consumer price index number goes up from 110 to 200 and the Salary of a worker is also raised from $\displaystyle \text{₹ } 325$ to $\displaystyle \text{₹ } 500$. Therefore, in real terms, to maintain his previous standard of living he should get an additional amount of:

The prices of a commodity in the year 1975 and 1980 were 25 and 30 respectively taking 1980 as base year the price relative is :

Which one of the following index uses the method of average of base year and current year quantities?

If the prices of all the goods change in the same ratio, then

Given that $\displaystyle \Sigma p_n q_n = 300, \Sigma p_0 q_0 = 125$ and Paasche's index number is 200 then the value of $\displaystyle \Sigma p_0 q_n$ is

If Laspeyre's index number is 125 and Paasche's index number is 500 then Fisher's index number is

When the cost of Beverages increased by 40%, the person said that the rise had increased his cost of living by 8%. Before the change in price, the percentage of his cost of living was due to buying Beverages is :

The test of shift ability of the base is called?

The property of an index number that allows shifting of the base year without referring each time to the original base is tested by which of the following?

Which of the following index does not satisfy the time reversal test?

If $\displaystyle \Sigma P_n q_n = 249$, $\displaystyle \Sigma P_0 q_0 = 150$, $\displaystyle \Sigma P_n q_0 = 145$ and Paasche's Index Number = 150, then Fisher's Ideal Price Index Number is

From the following data, find out an Index number for 2022 taking 2021 as base (using simple aggregative method): A (80, 120), B (220, 200), C (300, 400).

From the following chain base index numbers based on 2015, find out new chain base index number for the year 2022 by shifting the base year 2019. Index No Base 2015: 2015(100), 2016(105), 2017(95), 2018(85), 2019(120), 2020(110), 2021(130), 2022(150)

The prices of a commodity in the years 2015 and 2020 were 50 and 60 respectively. Price relative of 2015 on 2020 is

Chain Index is equal to

Two indices that is current on base and base on current should be reciprocals of each other in

If $\displaystyle \Sigma p_0q_0 = 160.7$ and $\displaystyle \Sigma p_1q_0 = 178.6$, then the cost of living index is

Which sampling technique can be used for the construction of Index numbers?

From the year 2015 to 2025, Consumer price index increased from 125 to 196. During this period, salary of the employees as per 7th pay commission recommendations was revised from ₹ 25,000 to ₹ 37,250. In real terms, an employee should get following amount as an additional amount to maintain his previous standard of living:

If the consumer price index number is 750, then the purchasing power of one rupee is _______.