Index Numbers
167 Practice MCQs available for CA Foundation
Paper
Paper 3: Quantitative Aptitude
Exam Weightage
4-6 Marks
Key Topics
Construction of Index Numbers, Time Series
This chapter covers Construction of Index Numbers, Time Series and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.
Exam Strategy Tip
This topic carries 4-6 Marks weightage. Focus on understanding core concepts rather than memorizing.
Key Terms
Comparison Tables
All 167 Questions
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:
$P_{01}$ 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 $P_{0n}$ and $P_{n0}$ are index for $1$ on $0$ and $0$ on $1$ respec. then formula $P_{01} \times P_{10} = 1$ 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 $P_{01} \times P_{10} = 1$
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 = $\frac{\text{Original Price Index}}{\text{Price Index of the year on which it has to be shifted}} \times 100$
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 $P_{01} \times P_{10} = 1$.
$The tests of shifting bases are called ________.$
$Purchasing power of money is stated as ________ price index?$
When the product of price index and the quantity index is equal to the corresponding value index then the test that holds is
If $\sum P_0q_0 = 1360$, $\sum P_1q_0 = 1900$ $\sum P_0q_1 = 1344$ $\sum P_1q_1 = 1880$ 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 $\sum P_0q_0 = 240$, $\sum P_1q_0 = 480$, $\sum P_0q_1 = 600$ and $\sum P_1q_1 = 192$, then Laspeyres's Index Number is
The prices and quantities of 3 commodities in base and current years are as follows: | | $P_0$ | $q_0$ | $P_1$ | $q_1$ | |---|---|---|---|---| | 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 $19500$. 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 $250$. 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 $160$ and Paasche's index number is $140$, then Laspeyre's index number is
The gross monthly pay of an employee was $15,000$ in a year $2020$. The consumer price index number in $2023$ is $155$ with $2020$ as base year. If employee is to rightly compensate what dearness allowance is required to be paid?
If the Laspeyre's index is $110$ and Paasche's index is $108$, then what is the value of Fisher's index?
From the year $2013$ to $2023$, Consumer price index number is increased from $135$ to $180$. During this period, salary of the employees as per pay commission recommendation goes up from $25,000$ to $30,000$. 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 $2023$ is $273$ with $2010$ as base year. The average monthly wages of industrial worker in year $2023$ is $8,190$. What is the real wage?
During a certain period the cost of living index goes up from $110$ to $200$ and the salary of a worker is also raised from $330$ to $500$. Then in the real terms, the raise in salary is effectively-
The index number of prices at a place in $2008$ is $355$ with $2003$ as base. This means
The Paasches and Fishers index numbers are $169$ and $156$ 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 $280$. The percentage increase in prices of agricultural commodities over the base year is:
During the certain period the C.L.I. goes up from $110$ to $200$ and the Salary of a worker is also raised from $330$ to $500$, then the change in real terms is
In year $2005$, the whole sale price index number is $386$ with $1985$ as base year. By how much the prices have increased in $2005$ in comparison to $1995$?
The prices of commodity in the year $2015$ and $2020$ were $25$ and $30$ respectively taking $2020$ as base year the price relative is
For year $2015$, price index was $267\%$ with base year $2005$. The percentage increase in price index over base year $2005$ is:
If an increase of $10\%$ in prices. The rise in wages is $20\%$ then the real wage has increased by
The cost of living index numbers in years $2015$ and $2021$ were $97.5$ and $115$ respectively. The salary of a worker in $2015$ was $19,500$. How much additional salary is required for him in $2021$ to maintain living standard of $2015$?
If Laspeyre's index number is $250$ and Paasche's index number is $160$, then Fishers Index is
If the price of a commodity in a place have decreased by $30\%$ over the based period places, then the index number of that place is
From the following data for the $5$ 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 $\sum P_0 Q_0 = 1360$, $\sum P_1 Q_0 = 1900$, $\sum P_0 Q_1 = 1880$ then the Laspeyre's Index is
The consumer price index for April $1985$ was $125$. The food price index was $120$ and other items index was $135$. The percentage of food out of the total weight of the index is
Net monthly salary of an employee was $3,000$ in $1980$. The consumer price index number in $1985$ is $250$ with $1980$ as base year. If the has to be rightly compensated then, $7^{th}$ dearness allowances to be paid to the employee is
The index number for the year $2012$ taking $2011$ 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 $2,050$ in the base period. What should his salary in the current period for his standard of living to remain the same? Given $\sum W = 25$ and $\sum IW = 3544$.
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 $2015$ and $2018$ were $97.5$ and $115$ respectively. The salary of CA Jitendra in $2015$ was $195000$. How much additional salary was required for him in $2018$ to maintain the same standard of living as in $2015$?
Consumer Price Index Number goes up from $100$ to $200$ and salary of a worker is also raised from $300$ to $500$, then Real Wage is
In the data group, Bowley's and Laspeyre's index number is as follows. Bowley's index number is $150$, Laspeyre's index number is $180$ then Paasche's index number is
The prices and quantities of $3$ commodities in base and current years are as follows:$P_0$ | $P_1$ | $Q_0$ | $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 $2015$ and $2018$ were $97.5$ and $115$ respectively. The salary of a worker in $2015$ was $195000$. How much additional salary was required for him in $2018$ to maintain the same standard of living as in $2015$?
From the following data constructed the index number by Laspeyre's method$\sum P_1 Q_0 = 100$, $\sum P_0 Q_0 = 86$,$\sum P_1 Q_1 = 83$, $\sum P_0 Q_1 = 106$
If Fisher's index is $150$ and Paasche's Index is $144$, then Laspeyre's index is
If Laspeyres index is A and Fisher's index is B. Find the value of Paasche's index?
$\sum P_1 Q_0 = 1360$, $\sum P_0 Q_0 = 1900\sum P_1 Q_1 = 1344$, $\sum P_0 Q_1 = 1880$ then the Laspeyres Index number is
If Laspeyres Index number is $250$ and Paasches Index number is $160$, then Fishers Index number
If $\sum P_1 Q_1 = 249$, $\sum P_0 Q_0 = 150$ Paasche's Index Number $= 150$ and Dorbish and Bowley's Index Number $= 145$, then the Fisher's Ideal Index Number is
If the $2018$ index with base $2015$ is $250$ and $2015$ index with base $2012$ is $150$, the index $2018$ on base $2012$ will be?
In $2017$ the average price of a commodity was $20\%$ more than in $2016$ but $20\%$ less than in $2015$; and more over it was $50\%$ more than in $2018$ to price relatives using $2016$ as base ($2016$ price relative $100$) 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 $110$ to $200$ and the salary of a worker is also raised from $7,000$ to $12,000$. 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 $= 150$, Laspeyre's index number $= 180$ then Paasche's index number is:
Monthly salary of an employee was $10,000$ in the year $2010$ and it was increased to $22,000$ in the year $2023$ while the consumer price index number is $250$ in year $2023$ with the base year $2010$, what should be his salary in comparison of consumer price index in the year $2023$ salary?
The consumer price index in $1980$ increases by $80$ per cent as compared to the base $1980$. A person in $1980$ getting $60,000$ per annum should now get
If $\sum P_0Q_0 = 1360$, $\sum P_nQ_0 = 1900$, $\sum P_0Q_n = 1344$, $\sum P_nQ_n = 1880$, 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 -
$\sum P_0Q_0 = 1360$, $\sum P_nQ_0 = 2000$, 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 $\text{₹ } 800/-$ 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 $\text{₹ } 325$ to $\text{₹ } 500$. 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 :
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