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Question 40 of 104

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.

(OR)
(b) An Economy is in equilibrium, calculate the Marginal Propensity to Save (MPS) from the following :
(i) National Income (Y) = ₹ 4,400
(ii) Autonomous Consumption (C̄) = ₹ 1,000
(iii) Investment Expenditure (I) = ₹ 70
Jammu Kashmir JkboseCBSE Class XII Board 2022Subjective· 2mImportance★★★★★
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  • Part (a): C=100+0.6(2000)=1300C = 100 + 0.6(2000) = 1300, so I=2000−1300=₹700I = 2000 - 1300 = \text{₹}700 — the claim of ₹300 is not justified.
  • Part (b): At equilibrium S=I=70S = I = 70; with autonomous saving −1000-1000, MPS=1070/4400≈0.24\text{MPS} = 1070/4400 \approx 0.24.

Part (a)

In a two-sector economy, equilibrium income occurs where aggregate demand equals aggregate supply, i.e. Y=C+IY = C + I. Consumption has an autonomous part Cˉ\bar{C} and an induced part bYbY, where bb is the marginal propensity to consume; investment II is autonomous.

C=Cˉ+bYandY=C+IC = \bar{C} + bY \qquad\text{and}\qquad Y = C + I

Given Cˉ=100\bar{C} = 100, b=0.6b = 0.6, Y=2000Y = 2000:

C=100+(0.6×2000)=100+1200=1300C = 100 + (0.6 \times 2000) = 100 + 1200 = 1300

Now apply the equilibrium condition:

2000=1300+I  ⇒  I=2000−1300=7002000 = 1300 + I \;\Rightarrow\; I = 2000 - 1300 = 700

The autonomous investment is ₹700 crore. Since the statement claims ₹300 crore, and 700≠300700 \ne 300, the statement is not justified. …

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