NCERT Solutions Class 11, Economics, Introductory Microeconomics, Chapter- 2, Theory of Consumer Behaviour
1. What do you mean by the budget set of a consumer?
Solution:
A budget set is a combination of consumption bundles that are available to the consumer at the existing income levels and at the existing market prices.
Examples: Suppose income of a consumer is (M).
He wants to buy two commodities (x and y) at given price (p1 and p2).
2. What is budget line?
Solution:
A budget line shows all the different combination of the two commodities that a consumer can purchase, given his money income and the price of two commodities. Equation of Budget line:
M = Px.
3. Explain why the budget line is downward sloping.
Solution:
The budget line is downward sloping because when more and more of units of one goods are bought, it leads to a fall in demand of the units of other goods at a constant level of income.
Slope of a budget line is \(\frac{P_x}{P_y}\)
4. A consumer wants to consume two goods. The prices of the two goods are ₹4 and ₹5 respectively. The consumer’s income is ₹20.
(i) Write down the equation of the budget line.
(ii) How much of good 1 can the consumer consume if she spends her entire income on that good?
(iii) How much of good 2 can she consume if she spends her entire income on that good?
(iv) What is the slope of the budget line?
Solution:
(i) Let us assume than the consumer wants to buy amount of Good 1 and Y amount of Good 2.
Therefore, budget line can be represented using the equation.
4X + 5Y = 20
(ii) If the consumer spends the entire income on Good 1, then the value of Good Y will be zero.
4X + 5(0) = 20
x = \(\frac{20}{4}\)
x = 5
5 units of Good 1 can be bought if she spends her entire income.
(iii) If the consumer spends the entire income of Good 2, the value of good X will be zero.
4(0) + 5Y = 20
Y = \(\frac{20}{5}\)
Y = 4
4 units of Good 2 can be bought if the entire income is spent.
(iv) The slope of the budget line can be determined by the unit of good 1 that the consumer is willing to sacrifice for obtaining equivalent amount of Good 2.
Slope of budget line = \(\frac{p_1}{p_2}\)
= \(\frac 45\)
= 0.8
5. How does the budget line change if the consumer’s income increases to ₹40 but the prices remain unchanged?
Solution:
When there is an increase in the income of the consumer, the purchasing power of the consumer will also increase. If consumer’s income increases to ₹40 then he can buy more goods. Therefore, there will be a rightward shift in the budget line due to an increase in income.

Hence, AB is the initial budget line and A1B1 is the new budget line.
6. How does the budget line change if the price of good 2 decreases by a rupee but the price of good 1 and the consumer’s income remain unchanged?
Solution:
As the price of Good 2 decreases by ₹1 the consumer will be able to purchase more quantity of Good 2 as compared to Good 1 at the given income. Therefore, there will be an upward shift along the vertical axis. (as there is no change in Good 1)

7. What happens to the budget set if both the prices as well as the income double?
Solution:
If both the prices and the income of the consumer doubles, there will be no change in the budget set.
8. Suppose a consumer can afford to buy 6 units of good 1 and 8 units of good 2 if she spends her entire income. The prices of the two goods are ₹6 and ₹8 respectively. How much is the consumer’s income?
Solution:
As per the information given:
P1 → Price of Good 1
P2 → Price of Good 2
x1 → Quantity of Good 1
x2 → Quantity of Good 2
x1 = 6, P1 = ₹6
x2 = 8, P2 = ₹8
M = income
M = P1x1 + P2x2
M = (6 × 6) + (8 × 8)
= ₹36 + ₹64
M = ₹100
Consumer’s income is ₹100.
9. Suppose a consumer wants to consume two goods which are available only in integer units. The two goods are equally priced at ₹10 and the consumer’s income is ₹40.
(i) Write down all the bundles that are available to the consumer.
(ii) Among the bundles that are available to the consumer, identify those which cost her exactly ₹40.
Solution:
(i) Given, Income of the consumer = ₹40
Price of both the goods = ₹10
The bundles that are available to the consumer are (0, 0), (0, 1), (0, 2), (0, 3), (0, 4), (1, 0), (1, 1), (1, 2), (1, 3), (2, 0), (2, 1), (2, 2), (3, 0), (3, 1), (4, 0).
(ii) The bundles that cost her exactly ₹40 are (0, 4), (1, 3), (2, 2), (3, 1), (4, 0).
as: (0, 4)
⇒ 0 × 10 + 4 × 10 = ₹40
(1, 3)
⇒ 1 × 10 + 3 × 10 = ₹40
(3, 1)
⇒ 3 × 10 + 1 × 10 = ₹40
(4, 0)
⇒ 4 × 10 + 0 × 10 = ₹40
10. What do you mean by ‘monotonic preferences’?
Solution:
Monotonic preference means that rational consumer will always prefer more of a commodity without sacrificing the other commodity as it will offer a higher level of satisfaction.