Q.(a) "In an economy, the autonomous consumption is ₹ 100 and Marginal Propensity to Consume (MPC) is 0.6. If the equilibrium level of Income is 2,000, then the autonomous investment is ₹ 300." Justify the statement with valid calculation.
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🔒 Start your 14-day free trial to unlock the full solution →Part (a)Concept understanding — Aggregate Demand Equilibrium
Aggregate Demand Equilibrium: The Economy's Balancing Act
Think of a seesaw. On one side sits everything people, firms, and the government want to buy. On the other side sits everything firms produce. When the seesaw is perfectly level — when total spending exactly matches total output — the economy is in equilibrium. That's the core idea.
But why should you care? Because when the seesaw tilts, real things happen. If spending exceeds output, prices rise (inflation). If output exceeds spending, factories shut down and people lose jobs. Equilibrium is the sweet spot where neither happens.
The Precise Meaning
In macroeconomics, Aggregate Demand (AD) is the total planned spending on final goods and services in an economy during a given period. Aggregate Supply (AS) is the total output firms plan to produce.
Equilibrium occurs where:
AD=AS
At this point, what buyers intend to spend exactly equals what sellers intend to produce. No unwanted inventories pile up, and no shortages force prices up. The economy is "at rest."
Y=C+I+G+(X−M)
Where:
- Y = National Income (also equals Aggregate Supply)
- C = Household consumption expenditure
- I = Investment expenditure by firms
- G = Government spending on goods and services
- X = Exports
- M = Imports
- (X−M) = Net exports
This is the AD identity from your NCERT textbook. It tells you that total spending in the economy comes from four sources: households, firms, government, and foreigners (net of what we buy from them).
How Equilibrium Actually Works
Imagine a simple economy with only households and firms. Households earn income Y from firms. They spend part of it on consumption C and save the rest S. Firms produce output and also invest I (buying machines, building factories).
Equilibrium condition becomes:
Y=C+I
But households don't spend all their income. They save. So C=Y−S. Substituting:
Y=(Y−S)+I
Which simplifies to:
S=I
In equilibrium, planned savings must equal planned investment. This is the Keynesian cross condition. If people save more than firms invest, total spending falls short of output — inventories pile up, firms cut production, and income falls until savings and investment match again.
The 45° Line Diagram (Describe It)
Draw a graph with Aggregate Demand (AD) on the vertical axis and National Income (Y) on the horizontal axis.
- Draw a 45° line from the origin. Every point on this line represents AD=Y — the equilibrium condition.
- Draw the AD curve (which is C+I+G+(X−M)). It slopes upward because as income rises, consumption rises.
- Where the AD curve crosses the 45° line — that's the equilibrium point. …
Part (b)Concept understanding — Marginal Propensity to Consume
Marginal Propensity to Consume (MPC)
Start with everyday intuition
Think about what happens when you get some extra money — say, a ₹500 bonus from your part-time job, or a cash gift on your birthday. You don't save all of it, and you don't spend all of it either. Most people spend a part and save the rest. That part you spend — the fraction of the extra income that goes into consumption — is exactly what economists call the Marginal Propensity to Consume.
The word "marginal" here means "extra" or "additional." So MPC answers one simple question: Out of every extra rupee you earn, how much do you spend?
The precise meaning
Formally, MPC is the ratio of change in consumption expenditure to the change in income that brought it about.
MPC=ΔYΔC
where ΔC = change in consumption, ΔY = change in income.
For example, if your income rises by ₹1,000 and your consumption rises by ₹750, your MPC is 750/1000=0.75 (or 75%). This means you spend 75 paise of every extra rupee and save the remaining 25 paise.
The other side of the coin is the Marginal Propensity to Save (MPS) — the fraction of extra income that is saved. Since every extra rupee is either spent or saved:
MPC+MPS=1
This is not a theory; it's an accounting identity. If MPC = 0.75, then MPS must be 0.25.
Why MPC matters
MPC is not just a number — it is the engine of the multiplier effect, one of the most powerful ideas in macroeconomics.
When someone spends money, that spending becomes someone else's income. That second person, in turn, spends a fraction (their MPC) of that income, which becomes a third person's income, and so on. A single initial injection of spending — say, government investment in a road — ripples through the economy, generating total income many times larger than the original spending.
The size of this ripple depends directly on MPC. The higher the MPC, the larger the multiplier.
Multiplier (k)=1−MPC1=MPS1
If MPC = 0.8, the multiplier is 1/(1−0.8)=5. An initial ₹100 crore investment can generate ₹500 crore of total income. If MPC = 0.5, the multiplier is only 2.
A word on the diagram …
Part (a)
Equilibrium income satisfies Y=C+I, with consumption function C=Cˉ+bY.
Given Cˉ=100, b=0.6, Y=2000:
C=100+0.6×2000=100+1200=1300
Using Y=C+I:
2000=1300+I⇒I=700 …
- Part (a): C=100+0.6(2000)=1300, so I=2000−1300=₹700 — the claim of ₹300 is not justified.
- Part (b): At equilibrium S=I=70; with autonomous saving −1000, MPS=1070/4400≈0.24.
Part (a)
In a two-sector economy, equilibrium income occurs where aggregate demand equals aggregate supply, i.e. Y=C+I. Consumption has an autonomous part Cˉ and an induced part bY, where b is the marginal propensity to consume; investment I is autonomous.
C=Cˉ+bYandY=C+I
Given Cˉ=100, b=0.6, Y=2000:
C=100+(0.6×2000)=100+1200=1300
Now apply the equilibrium condition:
2000=1300+I⇒I=2000−1300=700
The autonomous investment is ₹700 crore. Since the statement claims ₹300 crore, and 700=300, the statement is not justified. …
- HPBOSE Himachal Plus Two Class 12 (Commerce) 2026Set ANNUAL1 markMCQQ.Formula to calculate marginal propensity to consume (MPC) is:(a) MPC = ΔC/ΔY(b) MPC = C/Y(c) MPC = S/Y(d) MPC = f(Y)
›Reveal solutionSolution
The correct option is (a) MPC = ΔC/ΔY.
The Marginal Propensity to Consume (MPC) is the proportion of an additional unit of income that is spent on consumption: MPC = change in consumption ÷ change in income = ΔC/ΔY. Its value lies between 0 and 1, and MPC + MPS = 1. …
- HPBOSE Himachal Plus Two Class 12 (Commerce) 2026Set ANNUAL1 markMCQQ.Assertion (A): There is an equilibrium in the economy when AD = AS. Reason (R): AD = AS when the intended production in the economy is equal to the intended purchase.(a) Both (A) and (R) true and (R) is the correct explanation of (A)(b) Both (A) and (R) true and (R) is not the correct explanation of (A)(c) (A) is true but (R) is false.(d) (A) is false but (R) is true.
›Reveal solutionSolution
The correct option is (a) — both true and R correctly explains A.
Assertion (A): 'There is equilibrium in the economy when AD = AS.' True — the economy is in equilibrium when aggregate demand equals aggregate supply.
Reason (R): 'AD = AS when the intended production in the economy is equal to the intended purchase.' True — aggregate supply represents planned (intended) production and aggregate demand represents planned (intended) purchases; they are equal exactly when there is no unplanned change in inventories.
…
- CA Foundation 2025Set may-20251 markMCQQ.Under the Keynesian theory of determination of national income, the assumption is that the consumption increases with an increase in disposable income but the increase in consumption will be _______ the increase in disposable income. (A) Equal to (B) Opposite to (C) Greater than (D) Less than
›Reveal solutionSolution
By Keynes's fundamental psychological law, a rise in income raises consumption by less than the rise in income.
Step 1 — Keynes's psychological law of consumption
Keynes held that as disposable income increases, consumption increases too, but not by the full amount of the increase — people save a part of the additional income.
Step 2 — Express with MPC
The marginal propensity to consume measures the share of extra income that is consumed:
MPC=ΔYΔC,0<MPC<1
Since MPC<1, the change in consumption ΔC is less than the change in disposable income ΔY. …
- CA Foundation 2025Set may-20251 markMCQQ.Which of the following is true in respect of relation of Marginal Propensity to Consume (MPC) and Marginal Propensity to Save (MPS) as per the Keynesian theory of determination of National Income ? (A) MPC = MPS (B) MPC + MPS = 1 (C) MPC + MPS = 0 (D) No relation exists between MPC and MPS
›Reveal solutionSolution
Because extra income is either spent or saved, MPC + MPS = 1.
Step 1 — Split additional income
A change in disposable income (ΔY) is divided between a change in consumption (ΔC) and a change in saving (ΔS):
ΔY=ΔC+ΔS
Step 2 — Divide through by ΔY
ΔYΔC+ΔYΔS=1⇒MPC+MPS=1
So the two marginal propensities always sum to one, and MPS = 1 − MPC.
Why the other options are wrong: (A) MPC = MPS only in the special case where each equals 0.5; it is not a general rule. (C) MPC + MPS = 0 is impossible, since both are non-negative and their sum is 1. (D) A definite relation clearly exists, so 'no relation' is wrong. …
- HPBOSE Himachal Plus Two Class 12 (Commerce) 2025Set ANNUAL1 markMCQQ.Average Propensity to Consume (APC) is equal to:(a) y/c(b) Δy/Δc(c) c/y(d) Δc/Δy
›Reveal solutionSolution
The correct option is (c) c/y.
The Average Propensity to Consume (APC) is the proportion of total income that is spent on consumption: APC = total consumption ÷ total income = C/Y. (In contrast, the marginal propensity …
- HPBOSE Himachal Plus Two Class 12 (Commerce) 2024Set ANNUAL1 markMCQQ.What is the formula of Marginal Propensity to save?(a) ΔY/ΔS(b) ΔS/ΔY(c) S/Y(d) Y/S
›Reveal solutionSolution
The correct option is (b) ΔS/ΔY.
The Marginal Propensity to Save (MPS) is the proportion of an additional unit of income that is saved. It is calculated as MPS = change in saving ÷ change in income = ΔS/ΔY. Its value lie …
- HPBOSE Himachal Plus Two Class 12 (Commerce) 2024Set ANNUAL1 markMCQQ.Full Employment Equilibrium is a situation in which:-(a) AD>AS(b) AD<AS(c) AD=AS(d) None of these
›Reveal solutionSolution
The correct option is (c) AD = AS.
Equilibrium income and employment are determined where aggregate demand (AD) equals aggregate supply (AS). Full-employment equilibrium is the particular situation in which this equality (AD = AS) occurs at the full-employment level of output — i.e. all those willing to work a …
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