
Step 1: Calculate Primary Deficit \[ \text{Primary Deficit} = \text{Fiscal Deficit} - \text{Interest Payments} \]
Step 2: Calculate Fiscal Deficit \[ \text{Fiscal Deficit} = \text{Total Expenditure} - (\text{Revenue Receipts} + \text{Non-Debt Capital Receipts}) \] Given Data: - Revenue Deficit = Rs. 20 crore - Interest Payments = Rs. 10 crore - Revenue Receipts = Rs. 20 crore - Non-Debt Capital Receipts = 50% of Rs. 20 crore = Rs. 10 crore - Capital Expenditure = Rs. 30 crore
Step 3: Compute Values - Fiscal Deficit = (Revenue Deficit + Capital Expenditure) - (Revenue Receipts + Non-Debt Capital Receipts) \[ = 20 + 30 - 10 = Rs. 40 \text{ crore} \] - Primary Deficit = Fiscal Deficit - Interest Payments \[ = 40 - 10 = Rs. 30 \text{ crore} \]
Final Answers: - Fiscal Deficit: Rs. 40 crore - Primary Deficit: Rs. 30 crore
| Column-I | Column-II |
|---|---|
| (a) Non-tax Revenue | (ii) Free-rider |
| (b) Indirect Tax | (i) Goods and Services Tax |
| (c) Capital expenditure | (iii) Borrowings |
| (d) Private goods | (iv) Rivalrous in nature |
A racing track is built around an elliptical ground whose equation is given by \[ 9x^2 + 16y^2 = 144 \] The width of the track is \(3\) m as shown. Based on the given information answer the following: 
(i) Express \(y\) as a function of \(x\) from the given equation of ellipse.
(ii) Integrate the function obtained in (i) with respect to \(x\).
(iii)(a) Find the area of the region enclosed within the elliptical ground excluding the track using integration.
OR
(iii)(b) Write the coordinates of the points \(P\) and \(Q\) where the outer edge of the track cuts \(x\)-axis and \(y\)-axis in first quadrant and find the area of triangle formed by points \(P,O,Q\).