Maharashtra Board Class 12 Economics Chapter 6 Forms of Market Solutions

1. Choose The Correct Option:

Question 1. Statements that are incorrect in relation to index numbers.
(a) Index number is a geographical tool.
(b) Index numbers measure changes in the air pressure.
(c) Index numbers measure relative changes in an economic variable.
(d) Index numbers are specialized averages.
Options:
(1) c and d
(2) a and b
(3) b and c
(4) a and d
Answer: (2) a and b
In simple words: Index numbers are statistical tools used to measure changes in economic variables, not geographical tools or instruments for measuring air pressure. Options (a) and (b) are incorrect as index numbers focus on economic changes.

🎯 Exam Tip: Focus on understanding the fundamental definition and purpose of index numbers to easily identify incorrect statements related to their application.

 

Question 2. Statements that highlight the significance of index numbers.
(a) Index numbers are useful for making future predictions.
(b) Index numbers help in the measurement of inflation.
(c) Index numbers help to frame suitable policies.
(d) Index numbers can be misused.
Options:
(1) b, c and d
(2) a, c and d
(3) a, b and d
(4) a, b and c
Answer: (4) a, b and c
In simple words: Index numbers are crucial for economic planning as they help predict future trends, measure inflation, and guide policy formulation, making statements (a), (b), and (c) significant.

🎯 Exam Tip: Remember the broad applications of index numbers in economic analysis, policy-making, and forecasting to correctly identify their significance.

 

Question 3. Statements that apply to weighted index numbers.
(a) Every commodity is given equal importance.
(b) It assigns suitable 'weights' to various commodities.
(c) In most of the cases, quantities are used as weights.
(d) Laaspeyre's and Paasche's method is used in the calculation of weighted index numbers.
Options:
(1) b, c and d
(2) a, c and d
(3) a, b and d
(4)a, b, c and d
Answer: (1) b, c and d
In simple words: Weighted index numbers differentiate the importance of commodities by assigning 'weights', often using quantities, and specific methods like Laspeyres' and Paasche's are used for their calculation.

🎯 Exam Tip: Distinguish between simple and weighted index numbers by focusing on the concept of 'weights' and the specific methods associated with them.

 

Question 4. Statements related to limitations of index numbers.
(a) Index numbers are not completely reliable.
(b) There may be a bias in the data collected.
(c) Every formula has sorne kind of defect.
(d) Index numbers ignore changes in the qualities of products.
Options:
(1) a, c and d
(2) a, b, c and d
(3) a, b and d
(4) b, c and d
Answer: (2) a, b, c and d
In simple words: Index numbers face limitations such as potential unreliability, data bias, inherent defects in formulas, and their inability to account for qualitative changes in products.

🎯 Exam Tip: Be aware of the practical challenges and theoretical shortcomings of index numbers, including data quality, formula limitations, and qualitative changes.

 

Question 5. Choose the correct pair:

Group A	Group B
1) Price Index	(a) \( \frac{\Sigma p_1 q_1}{\Sigma p_0 q_0} \times 100 \)
2) Value Index	(b) \( \frac{\Sigma q_1}{\Sigma q_0} \times 100 \)
3) Quantity Index	(c) \( \frac{\Sigma p_1 q_0}{\Sigma p_0 q_0} \times 100 \)
4) Paasche's Index	(d) \( \frac{\Sigma p_1}{\Sigma p_0} \times 100 \)

Options:
(1) 1-d, 2-c, 3-a, 4-b
(2) 1-d, 2-a, 3-b, 4-c
(3) 1-b, 2-c, 3-d, 4-a
(4) 1-c, 2-d, 3-a, 4-b
Answer: (2) 1-d, 2-a, 3-b, 4-c
In simple words: This question matches various index numbers with their corresponding formulas: Price Index with simple price ratio, Value Index with total current value to total base value, Quantity Index with simple quantity ratio, and Paasche's Index with a specific weighted price formula.

🎯 Exam Tip: Memorize the standard formulas for Price, Quantity, Value, and specific weighted indices like Laspeyres' and Paasche's to accurately match them.

 

2. Complete The Correlation:

Question. 1. Price Index: Inflation :: __________ : Agricultural production
Answer: Quantity Index
In simple words: Just as the Price Index measures inflation, the Quantity Index measures changes in agricultural production.

🎯 Exam Tip: Understand that different index types are used to measure changes in specific economic variables, such as price for inflation and quantity for production.

 

Question. 2. __________ : Base year prices :: P₁ : Current year prices
Answer: \( P_0 \)
In simple words: \( P_0 \) represents base year prices, similar to how \( P_1 \) represents current year prices.

🎯 Exam Tip: Remember the standard notations: \( P_0 \) for base year price and \( P_1 \) for current year price.

 

Question. 3. Laaspeyre's index : __________ :: Paasches index: Current year quantities
Answer: Base year quantity
In simple words: Laspeyres' index uses base year quantities as weights, while Paasche's index uses current year quantities as weights.

🎯 Exam Tip: Key distinction between Laspeyres' and Paasche's indices lies in the weights used: base year quantities for Laspeyres' and current year quantities for Paasche's.

 

Question. 4. __________ : Single variable :: Composite index: Group of variables
Answer: Univariate Index
In simple words: A univariate index measures changes in a single variable, contrasting with a composite index that measures changes in a group of variables.

🎯 Exam Tip: Understand the difference between indices that track one variable (univariate) versus those that combine multiple variables (composite).

 

3. Solve The Following:

Question 1. Calculate Price Index number from the given data:

Commodity	Price in 2005 (Rs.)	Price in 2010 (Rs.)
A	6	8
B	16	18
C	24	28
D	4	6

Answer:

Commodity	Base Year price 2005 (P₀)	Current Year price 2006 (P₁)
A	6	8
B	16	18
C	24	28
D	4	6
Total	\( \Sigma p_0 = 50 \)	\( \Sigma p_1 = 60 \)

Steps:
Add the price of base year (p₀)
Add the price of current year (p₁)
\[ P_{01} = \frac{\Sigma p_1}{\Sigma p_0} \times 100 \]
\[ = \frac{60}{50} \times 100 \]
= 120
Hence \( P_{01} = 120 \)
In simple words: To calculate the Price Index, sum the prices for the base year and the current year. Then, divide the sum of current year prices by the sum of base year prices and multiply by 100.

🎯 Exam Tip: Ensure correct summation of prices for base and current years, and apply the formula \( P_{01} = (\Sigma P_1 / \Sigma P_0) \times 100 \) accurately for calculating the simple price index.

 

Question 2. Calculate Quantity Index number from the given data:

Commodity	P	Q	R	S	T
Base year quantities	170	150	100	195	205
Current year quantities	90	70	75	150	95

Answer:

Commodity	Base Year Qty.(q₀)	Current Year Qty. (P₁)
P	170	90
Q	150	70
R	100	75
S	195	150
T	205	95
Total	\( \Sigma p_0 = 820 \)	\( \Sigma p_1 = 480 \)

Steps: Add quantities of base year (q₀).
Add quantities of current year (q ).
\[ Q_{01} = \frac{\Sigma q_1}{\Sigma q_0} \times 100 \]
\[ = \frac{480}{820} \times 100 \]
= 58.53
Hence, \( Q_{01} = 58.53 \)
As quantity in the current year has fallen \( Q_{01} \) is less than loo.
In simple words: To calculate the Quantity Index, sum the base year quantities and current year quantities. Then, divide the sum of current year quantities by the sum of base year quantities and multiply by 100.

🎯 Exam Tip: Be careful to correctly sum the quantities for base and current years, and apply the Quantity Index formula \( Q_{01} = (\Sigma Q_1 / \Sigma Q_0) \times 100 \) for accurate results.

 

Question 3. Calculate Value Index number from the given data:

Commodity	Base Year		Current Year
	Price	Quantity	Price	Quantity
A	40	15	70	20
B	10	12	60	22
C	50	10	90	18
D	20	14	100	16
E	30	13	40	15

Answer:
Steps:
(1) Formula used for Value Index Number
\( V_{01} = \Sigma pq \times 100 \)
(2) We find product of prices and their respective quantities of the different commodities for the base year to derive \( p_0 q_0 \), then take the sum total of the products to derive \( \Sigma p_0 q_0 \).
(3) Similarly, find the product of prices and their respective quantities for the current year to derive \( p_1 q_1 \), then take the sum total of the products to derive \( \Sigma p_1 q_1 \).

Commodity	Base year		Current year		\( P_0 Q_0 \)	\( P_1 Q_1 \)
	Price P₀	Qty q₀	Price P₁	Qty q₁
A	40	15	70	20	600	1400
B	10	12	60	22	120	1320
C	50	10	90	18	500	1620
D	20	14	100	16	280	1600
E	30	13	40	15	390	600
					\( \Sigma p_0 q_0 = 1,890 \)	\( \Sigma p_1 q_1 = 6,540 \)

\[ \text{Value Index Number} = \frac{\Sigma p_1 q_1}{\Sigma p_0 q_0} \times 100 \]
\[ = \frac{6,540}{1,890} \times 100 \]
= 346.03
Value Index Number = 346.03
In simple words: To calculate the Value Index Number, first compute the total value for the base year (\( \Sigma p_0 q_0 \)) and the current year (\( \Sigma p_1 q_1 \)) by multiplying price and quantity for each commodity. Then, divide the total current year value by the total base year value and multiply by 100.

🎯 Exam Tip: For Value Index, carefully calculate each \( p_0 q_0 \) and \( p_1 q_1 \) before summing them up, and then apply the formula \( V_{01} = (\Sigma p_1 q_1 / \Sigma p_0 q_0) \times 100 \).

 

Question 4. Calculate Laaspeyre's and Paasche's index from the given dala:

Commodity	Base Year		Current Year
	Price	Quantity	Price	Quantity
X	8	30	12	25
Y	10	42	20	16

Answer:
I'm 7
\[ \text{Price Index } P_{01} = \frac{\Sigma p_1}{\Sigma p_0} \times 100 \]
\[ = \frac{42}{40} \times 100 \]
= 105
Hence, \( P_{01} = 105 \)
In simple words: The provided answer calculates a simple Price Index by summing current prices, summing base prices, dividing the current sum by the base sum, and multiplying by 100. This calculation does not include Laspeyres' or Paasche's indices.

🎯 Exam Tip: Pay close attention to the specific index type requested (e.g., Laspeyres', Paasche's, or simple Price Index) and apply the correct formula accordingly. Ensure all given data for prices and quantities are utilized.

 

4. Distinguish Between:

Question 1. Simple Index Numbers and Weighted Index Numbers.
Answer:

Simple Index Number	Weighted Index Number
(a) Simple index number is a simple average of index number of individual goods.	(a) Weighted index number is a weighted average of products after assigning suitable weights to individual goods.
(b) It is easy to calculate.	(b) It is difficult to calculate.
(c) All commodities are given equal importance.	(c) All commodities are given different levels of importance.
(d) It gives rough estimates of price change	(d) It gives an accurate estimate of price change.
(e) It is less used in practice.	(e) It is mostly used in practice.

In simple words: Simple index numbers treat all commodities equally and are easy to calculate but less accurate, whereas weighted index numbers assign different importance (weights) to commodities, are more complex to calculate, but provide more accurate estimates and are widely used.

🎯 Exam Tip: When distinguishing, clearly highlight the presence/absence of 'weights' and its implications on calculation complexity, accuracy, and practical usage for each type of index number.

 

Question 2. Price Index and Quantity Index.
Answer:

Price Index Number	Quantity Index Number
(a) Price index number measures the changes in price over a period of time.	(a) Quantity index number measures the changes in quantity over a period of time.
(b) It can be used for measuring the changes in prices as well as other purpose e.g. in fixing wages, interest rates, tax rates, etc.	(b) It can be used only for measuring the changes in the quantities e.g. of items like exports, imports, etc.
(c) It is a very popular concept and can be easily calculated and understood.	(c) It is not so popular as it cannot be easily calculated.

In simple words: Price index measures changes in prices and has broad applications like wage adjustments, while Quantity index measures changes in quantities for specific uses like trade volume, but is less popular due to its calculation complexity.

🎯 Exam Tip: Focus on what each index specifically measures (price vs. quantity) and their respective practical applications to effectively distinguish them.

 

Question 3. Laaspeyre's Index and Paasche's Index.
Answer:

Laspeyre's Index Number	Paasche's Index Number
(a) Laspeyre uses base year quantity (\( Q_0 \)) as weights to calculate index numbers.	(a) Paasche uses current year quantity (\( Q_1 \)) as weights to calculate index number.
(b) He gave this formula \( P_{01} = \frac{\Sigma p_1 q_0}{\Sigma p_0 q_0} \) [where \( P_{01} \) = Price index number \( P_0 \) = Price of the base year \( P_1 \) = Price of the current year \( q_0 \) = Quantities of the base year]	(b) He gave this formula = \( P_{01} = \frac{\Sigma p_1 q_1}{\Sigma p_0 q_1} \) [where \( P_{01} \) = Price index number \( P_0 \) = Price of the base year \( P_1 \) = Price of the current year \( q_0 \) = Quantities of the base year]
(c) He is a German Economist who gave the method of calculating Index Number in the year 1871.	(c) He is a German Statistician who devised the method of calculating Index Number in the year 1874.

In simple words: Laspeyres' index uses base year quantities as weights, while Paasche's index uses current year quantities as weights; this difference in weighting leads to distinct formulas and historical origins for each method.

🎯 Exam Tip: The critical distinction lies in the weighting: Laspeyres' uses base year quantities (\( q_0 \)) and Paasche's uses current year quantities (\( q_1 \)). Always remember their respective formulas and the weights applied.

 

5. State With Reasons Whether You Agree Or Disagree With The Following Statements:

Question 1. Index numbers measure changes in the price level only.
Answer: No, I do not agree with this statement.
• Index numbers are statistical devices which are used to measure changes in some quantities which cannot be measured directly.
• It shows the changes in the variables like price, quantity of output, exports, standard of living, cost of living, stock markets, etc.
• Index numbers are like economic barometers, measuring changes in variables over time with respect to a chosen base year.
• Hence, it is not right to say Index Numbers measures changes in price only.
In simple words: I disagree because index numbers are versatile statistical tools that measure changes across various economic variables, not just price levels, making them vital for tracking output, trade, living costs, and market trends.

🎯 Exam Tip: To score well, provide a clear disagreement and support it with multiple examples of variables that index numbers can measure, beyond just price.

 

Question 2. Index numbers are free from limitations.
Answer: No, I do not agree with this statement.
Although index numbers are very useful in business and industry, they suffer from following limitation:
• Bias in the data: If the data is not collected properly, we may not get proper index numbers.
• Based on samples : If the samples are not collected properly, there may be error in index number calculations.
• Misuse of index number : We compare the index numbers with the base year, but if a businessman chooses a base year in which profits are high and show that his profits are falling now.
• Changes in the economy : In long run habits, tastes, etc of people may change, so it is difficult to include all such changes in index number.
Hence, it is not right to say that index numbers are free from limitations.
In simple words: I disagree because index numbers, despite their utility, have limitations such as potential data bias, sampling errors, the possibility of misuse in interpreting trends, and difficulties in accounting for long-term economic changes like shifting consumer habits.

🎯 Exam Tip: When discussing limitations, provide specific examples like data bias, sampling issues, and the inability to capture qualitative changes, rather than general statements.

 

Question 3. Index numbers can be constructed without the base year.
Answer: No, I do not agree with this statement.
Index numbers can be constructed without the base year because :
• Index Numbers are the tools for measuring J the changes in the magnitude of a variable or a group of variables over time with respect to a chosen year.
• Prices of some goods may increase and of other may decrease during the two periods. Index numbers solves this problem by taking the average change.
• For example, to know cost of living of people in general in India, Government chooses a base year 2010 which is taken as 100. Then cost of living is calculated in 2019 which may be 140.
• This difference of 40(140-100) shows that cost of living in India has increased by 40% (since 2010.
Hence, Index Numbers cannot be constructed - without the base year.
In simple words: I disagree because a base year is fundamental for constructing index numbers, as it serves as a reference point (usually set to 100) against which all subsequent changes in economic variables are measured.

🎯 Exam Tip: Emphasize the base year's role as a fixed reference point for comparison; without it, measuring relative changes over time is impossible.

 

6. Answer The Following:

Question 1. Explain the features of index numbers.
Answer: Features of Index Numbers :
• Index numbers are a specialised form of averages.
• They are expressed in percentage form without using a percentage sign.
• The year for which index number is being prepared is the current year.
• The year from which index number is being prepared is called the base year which is ? always taken as 100.
• They are used in measuring the changes (in magnitudes which cannot be measured directly.
• The formula used for Price Index Number = \[ \frac{\text{Total price of the current year}}{\text{Total price of the base year}} \times 100 \]
• They are considered as barometer of economic activity.
• Index number which is calculated from a single variable is called "univariate index" and which is constructed from a group of variables is called a "composite index".
In simple words: Index numbers are specialized averages expressed as percentages, used to measure changes in economic variables over time relative to a base year (set at 100), acting as economic barometers and categorized as univariate or composite.

🎯 Exam Tip: When listing features, remember to include their nature (specialized averages), expression (percentage without sign), role of base year, function (measuring change), and classification (univariate/composite).

 

Question 2. Explain the significance of index numbers in economics
Answer: Index numbers are significant tools of economic analysis in the following ways:
(1) Help in formulating Policies : Index numbers help the government and business organisations in framing their suitable economic policies for agriculture and industrial sector, wage and dearness allowance policies, etc.
(2) Help in the study of Trends and Tendencies : Index numbers study the relative changes in the level of phenomenon of different periods of time, so they can be used to predict future events. The economists can study the general trends of changes in price levels, agricultural and industrial production, export, imports, etc.
(3) Economic Barometer : Just as barometer is used to measure atmospheric pressure, index numbers measure the level of economic and business behaviour. They are very important for an economist, businessman, planners, policy makers, etc.
(4) Helps in Measurement of Inflation : It helps the government to take measures against inflation by giving additional D.A. to the employees on the basis of Dearness Index.
(5) Help to adjust National Income : By comparing current year's national product prices with the base year's prices, the Domestic Product (GDP) produced. Hence, this shows changes in real national income.
(6) To present Financial Data in Real Income : Index numbers are used to adjust price change, wage change, etc. Thus deflating helps to present the financial data at constant prices.
(Note: Deflating means to make adjustments in the original data)
(7) Helps in determining Depreciation Cost: The price index helps in determining the depreciation cost of durable goods. At the time of inflation, it is useful to know the original cost of the commodities.
In simple words: Index numbers are vital economic tools as they assist in policy formulation, trend analysis, act as economic barometers, measure inflation, adjust national income, present real financial data by deflating, and help determine depreciation costs.

🎯 Exam Tip: For significance, categorize the points into key economic functions like policy-making, trend analysis, inflation measurement, and national income adjustments, providing a comprehensive overview.

 

7. Answer In Detail:

Question 1. Explain the steps involved in the construction of index numbers.
Answer: Steps involved in the construction of j index numbers are as follows :
1. Purpose of an Index Number : Before constructing an index number, one must know the purpose for which the index number is constructed. E.g. for the whole c sale price or retail price or for agricultural - output, etc.
2. Selection of a Base Year : It is important to select a base year against which comparisons are made. So base year or reference year should be
(i) a recent year and not a distant past.
(ii) it should be normal and free from natural calamities, war, etc.
3. Selection of Commodities: When the cost c of living index number of the middle class jj families is to be constructed, the items that are used by middle class families in everyday life should be included and items like big cars, AC's, etc. should not be included.
4. Selection of Prices : Prices differ from city to city and even from shop to shop in the same city. Hence, we should take a few standard shops from where middle class families buy goods and take the average of the prices of goods sold by them. Otherwise index number constructed may be misleading.
5. Selection of suitable Average : An; index number is a special kind of average, Generally arithmetic mean is commonly ? used for construction of index number as it is simple to calculate.
6. Selection of Formula : Number of formulae can be used for construction, of index numbers. Economists have to decide which formula to use for the construction of a particular index number.
7. Assigning proper Weights : Weights refer to the relative importance of different items in the construction of an index number. (Weights may either be quantity weights (q) or value weights (p). All weights may not be equally important. Therefore, by s assigning specific weights better result can be obtained.
In simple words: Constructing an index number involves defining its purpose, carefully selecting a recent and normal base year, choosing relevant commodities, collecting appropriate price data, selecting a suitable averaging method, deciding on the correct formula, and assigning proper weights to ensure accurate and meaningful results.

🎯 Exam Tip: Outline the steps in a logical sequence, emphasizing the importance of each stage—from initial purpose definition to final weighting—for a comprehensive answer.

 

Index Questions

Find Out (Textbook Page 58) :

Question. (a) List of crops included in the Index of Agricultural Production in India.
Answer:
Food grains : Rice, Wheat, Jowar, Bajra, Maize, Ragi, Barley and Small Millets. Gram, Tur and other pulses.
Fibres: Cotton, Jute, Mesta and Sannhemp.
Non-food grains : Oilseeds Groundnut, Sesame, Rapeseed and Mustard, Linseed, Castorseed, Safflower, Nigerseed, Soyabean, Sunflower, Coconut and Cottonseed.
Plantation crops: Tea, Coffee and Rubber.
Condiments and Spices : Pepper, Ginger, Garlic, Chillies, Turmeric, Arecanut, Coriander and Cardamom.
Fruits and Vegetables : Potato, Onion, Banana, Cashewnut, Tapioca and Sweet Potato.
Other Crops : Sugarcane, Tobacco and Guarseed.
In simple words: The Index of Agricultural Production in India encompasses a wide range of crops including food grains, fibers, non-food grains (oilseeds), plantation crops, condiments and spices, fruits, vegetables, and other significant crops like sugarcane and tobacco.

🎯 Exam Tip: When listing crops, categorize them (e.g., food grains, fibers, plantation) to ensure completeness and clarity in your answer.

 

Question. (b) List of products included in the Index j of Industrial Production in India.
Answer:
Index of Industrial Production in ; India includes - Consumer Durable goods, Consumer non-durable goods, manufacturing goods, mining, electricity, infrastructure or construction goods, etc.
In simple words: The Index of Industrial Production in India measures the output across various sectors, covering consumer durable and non-durable goods, manufacturing, mining, electricity generation, and infrastructure or construction products.

🎯 Exam Tip: Remember to include the main categories of industrial output - consumer goods (durable/non-durable), manufacturing, mining, electricity, and infrastructure - for a comprehensive list.

 

Find Out (Textbook Page 59) :

Question. Newspaper headlines related to the following types of index numbers :
(a) Price Index
(b) Agricultural Productivity Index
(c) Index of Industrial Production
(d) Equity Share Price Index
Answer: [Students should do this activity by themselves.]
In simple words: Students should look for newspaper headlines that reflect changes in general prices (Price Index), agricultural output (Agricultural Productivity Index), industrial output (Index of Industrial Production), and stock market performance (Equity Share Price Index).

🎯 Exam Tip: For activities like this, focus on current events and real-world applications. Connect specific headlines to the respective index types to demonstrate practical understanding.

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