Revenue, Fiscal and Primary Deficit: Formulas and Examples

Suppose a government can cover its schools, hospitals and administration from its regular receipts, but needs extra funds to build a railway. Does it have a deficit?

It can have a fiscal deficit even when its revenue deficit is zero. That is the first clue: revenue deficit, fiscal deficit and primary deficit answer different questions about the same budget.

Revenue deficit compares the revenue account’s spending and receipts. Fiscal deficit measures the overall funding gap before debt receipts. Primary deficit removes interest payments from that fiscal gap.

Once you know what each measure includes, the formulas become much easier to use. Let’s build them from a small budget, then try the questions where the figures are hidden or the answer is a surplus.

Revenue Deficit, Fiscal Deficit and Primary Deficit: Formula Table

We will use these short forms:

• RR: revenue receipts.
• RE: revenue expenditure.
• CE: capital expenditure used in the deficit calculation.
• NDCR: non-debt capital receipts.
• IP: interest payments.

Measure	Formula	Question it answers
Revenue deficit, RD	RE - RR	How far do revenue receipts fall short of revenue expenditure?
Fiscal deficit, FD	(RE + CE) - (RR + NDCR)	What gap remains before debt receipts?
Primary deficit, PD	FD - IP	What gap remains after excluding interest payments?

These are the conventions used in the Government of India’s Budget at a Glance 2026-27. The examples below are fictional classroom budgets, not actual government figures.

Two boundaries matter: expenditure in the fiscal-deficit formula excludes repayment of the government’s own debt principal, and interest payments remain included until we calculate primary deficit. We will work through both below.

Classify the Receipts and Expenditure First

Most wrong answers begin before the subtraction. A student sees money received, assumes it is revenue, and puts a loan in the wrong column.

Use this sorting guide, based on the Ministry of Finance’s Key to the Budget Documents:

Item	Where it belongs
Tax collections	Revenue receipts
Fees, dividends and interest received	Non-tax revenue receipts
Recovery of loans previously given by government	Non-debt capital receipts
Sale of government shareholdings	Non-debt capital receipts
Fresh borrowing by government	Debt capital receipts
Salaries, pensions, subsidies and interest paid	Revenue expenditure
Government purchase of buildings or machinery	Capital expenditure
Loans advanced by government	Capital expenditure

Interest received and loan principal recovered are different receipts. If a borrower returns Rs. 40 crore of principal and pays Rs. 4 crore interest, record 40 as non-debt capital receipts and 4 as revenue receipts. Both help reduce the overall gap, but only the interest enters RR.

Likewise, government borrowing means government receives a loan. Government lending means government gives a loan. Follow the direction of the money and ask whose liability or asset changes.

For more practice with receipts, use our guide to capital receipts and revenue receipts.

One Complete Budget: Calculate All Three Deficits

Imagine the following budget for a financial year. All amounts are in Rs. crore.

Budget item	Amount
Tax revenue	720
Non-tax revenue	180
Recovery of loans	35
Disinvestment receipts	65
Revenue expenditure, including interest	1,060
Capital expenditure, excluding own-debt repayment	340
Interest payments included in revenue expenditure	140

Before calculating any deficit, collect the totals:

RR = 720 + 180 = 900
NDCR = 35 + 65 = 100
Total expenditure = 1,060 + 340
                  = 1,400
Non-debt receipts = 900 + 100
                  = 1,000

Step 1: Revenue Deficit

RD = RE - RR
   = 1,060 - 900
   = Rs. 160 crore

Revenue receipts leave Rs. 160 crore of revenue expenditure uncovered. The railway or machinery spending does not enter this subtraction because we are looking only at the revenue account.

Step 2: Fiscal Deficit

FD = (RE + CE) - (RR + NDCR)
   = 1,400 - 1,000
   = Rs. 400 crore

The budget requires Rs. 400 crore of financing beyond its non-debt receipts. In a simple numerical with no cash-balance adjustment or other financing item, this is the borrowing requirement.

Notice that loan recoveries and disinvestment receipts reduce FD. They were left out of the revenue-deficit calculation because they are capital receipts.

Step 3: Primary Deficit

PD = FD - IP
   = 400 - 140
   = Rs. 260 crore

Even after excluding interest, expenditure exceeds non-debt receipts by Rs. 260 crore.

Check that conclusion directly:

Non-interest expenditure
= 1,400 - 140
= 1,260

PD = 1,260 - 1,000
   = Rs. 260 crore

The two routes agree. This is a useful check when the question contains several overlapping totals.

Why We Did Not Add Interest Again

The Rs. 140 crore interest payment is already inside RE of Rs. 1,060 crore. Adding it once more would inflate expenditure to Rs. 1,540 crore and give a wrong fiscal deficit of Rs. 540 crore.

If the question instead gives revenue expenditure excluding interest, add interest to obtain full RE before calculating RD and FD.

Why Borrowing Is Excluded From Fiscal-Deficit Receipts

Return to our worked budget. Expenditure is 1,400 and non-debt receipts are 1,000. The gap is 400.

Suppose government borrows exactly 400. Cash received now totals 1,400, enough to pay the expenditure. But borrowing has financed the deficit; it has not made the underlying fiscal gap disappear.

If you subtract all receipts including that borrowing, you get zero. You have checked whether the cash plan balances after financing, rather than measured fiscal deficit.

When Total Receipts Include Borrowing

A question gives:

• Total expenditure: Rs. 2,400 crore.
• Total receipts including borrowing: Rs. 2,400 crore.
• Borrowing included in those receipts: Rs. 620 crore.
• Interest payments: Rs. 190 crore.

First remove debt receipts:

Non-debt receipts = 2,400 - 620
                  = 1,780
FD = 2,400 - 1,780 = 620
PD = 620 - 190 = 430

The answers are FD = Rs. 620 crore and PD = Rs. 430 crore.

Can we also calculate revenue deficit? No. We need the separate revenue receipts and revenue expenditure. An overall spending total does not tell us how much belongs to the revenue account.

Interest Payments and Repayment of Principal

Think of a government loan with principal of Rs. 80 crore and annual interest of Rs. 8 crore.

The interest is the cost of using borrowed funds. Returning the principal settles the existing loan. They are not interchangeable.

For the standard Indian fiscal-deficit measure, own-debt principal repayment is excluded from expenditure, while debt receipts are excluded from receipts. The CAG explains this boundary in Report No. 21 of 2023, section 2.6.

If a problem gives total cash disbursements of 1,480, including own-debt principal repayment of 80, the expenditure figure for FD is 1,400. With non-debt receipts of 1,000, FD is 400.

If both that gap and the maturing principal are financed entirely by new loans, gross borrowing is 480. After principal repayment of 80, net borrowing is 400. This explains why fiscal deficit should not be confused with every rupee of gross borrowing raised during the year.

Do not deduct principal again when the question has already provided expenditure on the correct basis.

A Note About Net Interest

This guide uses PD = FD - interest payments, matching the Union Budget and the RBI’s fiscal definitions.

The NCERT chapter also presents a gross-primary-deficit formula using net interest liabilities, defined there as interest payments less interest receipts on net domestic lending. If a question explicitly requires that convention, use its stated interest measure. Do not silently switch conventions, or subtract interest receipts from interest payments in the examples here.

The Relationship Between Revenue Deficit and Fiscal Deficit

Start with the fiscal-deficit formula and regroup its terms:

FD = (RE + CE) - (RR + NDCR)
   = (RE - RR) + CE - NDCR

FD = RD + CE - NDCR

For our first example:

FD = 160 + 340 - 100
   = Rs. 400 crore

This identity shows why RD and FD can move differently. Higher capital expenditure increases FD if other figures stay fixed. A rise in non-debt capital receipts reduces FD without changing RD.

It also gives you a missing-figure shortcut. Rearranging the same identity:

CE = FD - RD + NDCR

If FD is 510, RD is 170 and NDCR is 90, then CE is 510 - 170 + 90 = Rs. 430 crore.

Do not assume FD must always exceed RD. Their difference is CE minus NDCR. If CE is 50 and NDCR is 90, FD is 40 below RD. For example, RD of 100 would coexist with FD of 60.

Missing-Figure Numerical: Work Backwards From Primary Deficit

Here is a budget with more information hidden:

Given item	Rs. crore
Primary deficit	210
Interest payments	120
Revenue deficit	90
Revenue receipts	760
Recovery of loans	25
Disinvestment receipts	45

Find revenue expenditure, capital expenditure and total expenditure.

1. Recover Fiscal Deficit

FD = PD + IP
   = 210 + 120
   = 330

2. Recover Revenue Expenditure

RE = RR + RD
   = 760 + 90
   = 850

3. Calculate Capital Expenditure

NDCR = 25 + 45 = 70
CE = FD - RD + NDCR
   = 330 - 90 + 70
   = 310

Total expenditure is 850 + 310 = Rs. 1,160 crore.

Check the whole budget: non-debt receipts are 760 + 70 = 830. Subtracting 830 from 1,160 gives FD of 330, and removing interest of 120 returns PD of 210. Every given figure fits.

The order matters. Beginning with capital expenditure would leave too many unknowns. Starting with PD and IP immediately reveals FD.

Zero Deficits and Surpluses: Read the Sign

A negative answer is not automatically an arithmetic mistake. Under the formulas used here, a positive result is a deficit and a negative result is a surplus of that amount.

Zero Revenue Deficit Can Coexist With Fiscal Deficit

Suppose RR = RE = 800, CE = 250 and NDCR = 50.

RD = 800 - 800 = 0
FD = (800 + 250) - (800 + 50)
   = Rs. 200 crore

The revenue account balances. Capital expenditure still exceeds non-debt capital receipts by 200, creating a fiscal gap.

Zero Primary Deficit Does Not Mean Zero Borrowing

Suppose FD = 200 and IP = 200.

PD = 200 - 200 = 0

Non-interest expenditure is covered by non-debt receipts, but the overall gap is still Rs. 200 crore. Borrowing may still be needed to finance interest.

This is an accounting interpretation. It does not mean lenders attach a label to each rupee saying that it can only pay interest.

A Primary Surplus Can Coexist With Fiscal Deficit

Suppose FD = 150 and IP = 210.

PD = 150 - 210 = -60

Write primary surplus = Rs. 60 crore. The budget has 60 available after non-interest spending, but this covers only part of the 210 interest bill. The remaining 150 is the fiscal deficit.

Similarly, RR of 940 and RE of 900 gives RD of -40, meaning a revenue surplus of Rs. 40 crore. Keep the negative sign if substituting RD into another formula.

What Changes Each Deficit?

Use our first budget again: RD = 160, FD = 400 and PD = 260. Consider each change separately, holding every other item fixed. All figures are Rs. crore.

Independent change	New RD	New FD	New PD
Tax receipts rise by 30	130	370	230
Non-interest revenue spending falls by 30	130	370	230
Capital expenditure falls by 30	160	370	230
Disinvestment receipts rise by 30	160	370	230
Interest payments rise by 30	190	430	260

The last row is worth pausing over. Additional interest increases both RE and FD by 30. But the interest deducted to calculate PD also rises by 30. The two changes cancel, leaving PD unchanged.

This does not make interest harmless. It means primary deficit deliberately removes that expense from the measure.

The middle rows show another useful distinction. Selling more shares or cancelling a capital project can lower FD without repairing the revenue-account gap. Always ask which figure changed and why, rather than treating every deficit reduction as the same event.

Deficit as a Percentage of GDP

The rupee amount measures the size of the gap. A GDP ratio expresses it relative to the economy’s output.

Use nominal GDP at market prices for the same period, with both amounts in the same units:

FD as % of GDP
= (Fiscal deficit / GDP) x 100

For fictional Country A, FD is Rs. 4.8 lakh crore and GDP is Rs. 120 lakh crore:

FD ratio = (4.8 / 120) x 100
         = 4%

If interest payments equal 2.5% of the same GDP, the primary deficit is 4% - 2.5% = 1.5% of GDP. In money terms, interest is 3 lakh crore and PD is 1.8 lakh crore.

Now suppose next year’s FD rises to 5.2 lakh crore while GDP rises to 140 lakh crore. The ratio becomes about 3.71%. The money deficit has increased, but its share of GDP has fallen. Both statements can be true.

When reading an actual budget, also keep Budget Estimates, Revised Estimates and Actuals distinct. An initial plan and a completed year’s outturn answer different questions. The official deficit statistics table displays these columns separately.

Economic Implications: Explain the Cause, Then the Consequence

Revenue Deficit: Pressure on the Revenue Account

A revenue gap means some revenue expenditure must be financed from outside revenue receipts. Repeated dependence on borrowing can add future interest obligations; selling assets may sacrifice future income. NCERT discusses these concerns in its government budget chapter.

But avoid saying all revenue expenditure is wasteful. A teacher’s salary helps turn a school building into an education service. Maintenance keeps a public water system usable.

There is also an accounting nuance: Union Government grants for assets created by recipient bodies are recorded as revenue expenditure in the Union’s books. Effective revenue deficit adjusts RD by subtracting grants for creation of capital assets. It is a separate measure, not another name for RD.

Fiscal Deficit: Examine How the Gap Is Used and Financed

Borrowing can support useful investment or help sustain demand in a downturn. It can also increase debt-service pressure, compete with private borrowers for funds, or contribute to inflation when spending presses against limited productive capacity. These outcomes depend on economic conditions and financing. The IMF’s fiscal-policy explainer discusses these trade-offs.

For an answer about a proposed irrigation project, explain the chain: reliable water may improve farm output, which can strengthen incomes and future receipts. Then state the condition: benefits depend on completion, maintenance and effective use.

A deficit number alone cannot prove that the project is worthwhile. Equally, a reduction achieved by stopping a useful project is not automatically evidence of better public services.

Primary Deficit: Separate Non-Interest Spending From Interest

Primary deficit helps you inspect the budget after interest is removed. It is not a measure of every new policy introduced this year: existing salaries, ongoing programmes and capital projects can all remain in non-interest spending.

A primary surplus is useful information, but it does not by itself establish that debt is sustainable. The existing debt burden, interest rates and economic growth also matter, as explained in the IMF’s April 2024 Fiscal Monitor, page 15.

Fiscal Deficit Is a Flow; Government Debt Is a Stock

Fiscal deficit covers a period, usually a financial year. Debt is the amount outstanding on a particular date. The House of Commons Library’s short guide to deficits explains this general distinction.

Consider a simplified example with no valuation changes, cash adjustments or other debt changes:

• Opening debt: 2,000.
• First year’s deficit, entirely financed by net borrowing: 300.
• Closing debt: 2,300.
• Next year’s deficit, financed the same way: 200.
• Next closing debt: 2,500.

The deficit fell from 300 to 200, yet debt rose from 2,300 to 2,500. Government added less debt than before; it did not stop adding debt.

In actual accounts, changes in cash balances, valuation and other transactions can affect the reconciliation. The simplified example isolates the idea you need for a short answer.

A Reliable Answer Format

Use four steps for a numerical:

1. Classify: collect RR, RE, CE, NDCR and IP without double counting.
2. State the formula: identify the requested deficit.
3. Substitute and calculate: show the intermediate totals when needed.
4. Interpret: write the amount, unit and whether it is a deficit or surplus.

For example: “Primary deficit = Fiscal deficit - Interest payments = 400 - 140 = Rs. 260 crore. Therefore, non-interest expenditure exceeds non-debt receipts by Rs. 260 crore.”

Practice Questions With Answers

All amounts below are in Rs. crore, except question 6. Expenditure figures exclude repayment of the government’s own debt principal. Interest is included in RE unless stated otherwise.

1. Find All Three Deficits

RR = 1,200, RE = 1,420, CE = 380, NDCR = 80 and IP = 170.

Answer: RD = 220. FD = 1,800 - 1,280 = 520. PD = 520 - 170 = 350.

2. Find Missing Revenue Receipts

RE = 970 and revenue surplus = 50.

Answer: RR = 970 + 50 = 1,020. A surplus means receipts exceed expenditure. Equivalently, RD = -50 and RR = RE - RD.

3. Find Capital Expenditure

PD = 180, IP = 90, RD = 60 and NDCR = 40.

Answer: FD = 270. CE = 270 - 60 + 40 = 250.

4. Remove Borrowing From Receipts

Total expenditure = 1,650. Total receipts = 1,600, including borrowing of 350. IP = 120.

Answer: Non-debt receipts = 1,250. FD = 400 and PD = 280. The stated receipts leave another 50 of financing to arrange; do not force FD to equal the borrowing figure supplied.

5. Interpret a Negative Primary Deficit

FD = 125 and IP = 160.

Answer: PD = -35, so there is a primary surplus of 35. The budget still has a fiscal deficit of 125.

6. Convert a Deficit Ratio Into Money

Nominal GDP is Rs. 80 lakh crore. Fiscal deficit is 4.5% of GDP and interest payments are 3% of GDP.

Answer: FD = Rs. 3.6 lakh crore. IP = Rs. 2.4 lakh crore. PD = Rs. 1.2 lakh crore, or 1.5% of GDP.

7. Handle Revenue Spending Excluding Interest

Non-interest RE = 900, IP = 100, RR = 850, CE = 200 and NDCR = 50.

Answer: Full RE = 1,000. RD = 150. FD = 1,200 - 900 = 300. PD = 200.

8. Separate Interest From the Underlying Gap

A budget’s FD rises from 360 to 410 while IP rises from 140 to 190. What happens to PD?

Answer: PD remains 220 in both cases. The rise in FD is exactly matched by the rise in interest payments.

Sources and Further Reading

• NCERT, Introductory Macroeconomics, reprint 2026-27: Government Budget and the Economy, sections 5.1 and 5.2, for classroom definitions and the net-interest formulation.
• Ministry of Finance, February 2026: Budget at a Glance 2026-27, introductory definitions and deficit statistics.
• Ministry of Finance, February 2026: Key to the Budget Documents, for receipt, expenditure and grant classification.
• Reserve Bank of India, Handbook of Statistics on the Indian Economy 2023-24: Explanatory Notes, fiscal-sector definitions for gross and net measures.
• Comptroller and Auditor General of India, Report No. 21 of 2023: Accounts of the Union Government for 2021-22, section 2.6, for the debt-principal boundary.
• Mark Horton and Asmaa El-Ganainy, IMF Finance & Development: Fiscal Policy: Taking and Giving Away, for spending, taxation and financing trade-offs.
• IMF, April 2024: Fiscal Monitor, page 15, for debt, interest and growth relationships.
• House of Commons Library: The Budget Deficit: A Short Guide, section 9, for the distinction between annual deficit and outstanding debt.

Frequently Asked Questions

1. What is the main difference between revenue deficit and fiscal deficit?

Revenue deficit compares revenue expenditure with revenue receipts. Fiscal deficit also brings in capital expenditure and non-debt capital receipts to measure the overall gap before debt financing.

2. What is the formula for primary deficit?

Under the Union Budget convention used here, primary deficit = fiscal deficit - interest payments. If your question explicitly uses net interest liabilities, follow that stated convention.

3. Why are borrowings excluded when calculating fiscal deficit?

Borrowing finances the gap that fiscal deficit measures. Including borrowing among the receipts used to measure that gap would mix financing with the deficit itself.

4. Are interest payments added separately to revenue expenditure?

Only when the given revenue expenditure excludes interest. If it says “including interest” or “of which interest”, adding the amount again would double count it.

5. Does zero primary deficit mean the government has no debt?

No. It means fiscal deficit equals interest payments under the convention used here. Existing debt can remain, and borrowing may still be required to cover the overall fiscal gap.

6. Can there be a fiscal deficit and a primary surplus together?

Yes. If FD is 150 and interest payments are 210, PD is -60, meaning a primary surplus of 60. That surplus covers part of the interest bill, leaving FD of 150.

7. Can revenue deficit be zero while fiscal deficit is positive?

Yes. If the revenue account balances but capital expenditure exceeds non-debt capital receipts, the remaining capital-account gap produces a fiscal deficit.

8. How do loan recoveries and disinvestment affect the deficits?

They are non-debt capital receipts. Holding expenditure and other receipts fixed, an increase reduces fiscal deficit and primary deficit, but leaves revenue deficit unchanged.

9. Is repayment of the government’s own loan principal deducted to find primary deficit?

No. Primary deficit removes interest payments from fiscal deficit. Own-debt principal repayment is excluded when forming the expenditure figure for fiscal deficit; it is not the interest adjustment.

10. Does a lower fiscal deficit mean government debt has fallen?

No. A smaller deficit financed by borrowing can still add to debt. It means the annual addition is smaller in the simplified case, not that outstanding debt has necessarily decreased.

11. Is revenue expenditure always unproductive?

No. Teachers, nurses and maintenance services can provide lasting benefits. Revenue classification describes the accounting treatment, not a verdict on social usefulness.

12. What should I check when my answer differs from the solution?

Check whether borrowing was excluded, interest was already included, capital receipts were split correctly and a negative deficit was recognised as a surplus. Then verify the units and any stated net-interest convention before repeating the arithmetic.