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Q.If consumption function C = 40 + 0.75 Y and investment I = 10 crore rupee are given then calculate the value of expected aggregate demand.

Rajasthan RbseRBSE Rajasthan Senior Secondary (Class-12) Commerce Board 2025Subjective· 2mImportance★★★★★
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AD = C + I = 50 + 0.75Y; setting AD = Y gives equilibrium income Y = ₹200 crore.

Given: Consumption function C = 40 + 0.75Y; Investment I = ₹10 crore (autonomous).

Step 1 — Write aggregate demand. In a two-sector economy, aggregate demand is planned consumption plus planned investment:

ItemExpression
Consumption (C)40 + 0.75Y
Investment (I)10
Aggregate Demand (AD = C + I)40 + 0.75Y + 10 = 50 + 0.75Y

Step 2 — Find equilibrium income. The economy is in equilibrium when aggregate demand equals income/output (AD = Y):

StepWorking
Set AD = YY = 50 + 0.75Y
Collect Y termsY − 0.75Y = 50
Simplify0.25Y = 50

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