- Official section
- National VII: Real Estate Calculations and Illinois II.E: Compensation
- Broker weight
- Supporting skill within 7% of the national portion
- Expected scored items
- The PSI outline assigns about 7 of 100 scored national items to Calculations, but does not name commission splits as a standalone family
Real estate math guide
Commission math without guesswork
Write the money chain before multiplying. Price becomes total compensation only if price is the stated base. Total compensation may then split between brokerages, and one brokerage's share may split again with its sponsored licensee. Each arrow has its own rate and dollar starting point.
Last updated: August 1, 2026
What calculation do you need to make?
Short answer: Total commission or brokerage fee equals the stated compensation base times the stated decimal rate. Reverse the formula by dividing commission by rate to find the base or dividing commission by the base to find the rate. For split chains, calculate one level at a time: total fee, brokerage-side share, sponsored-licensee share, then any separately stated referral or expense. A 50% firm split followed by a 70% licensee split gives the licensee 35% of the original total, not 70%. Rates are negotiable, so never assume a standard percentage. In Illinois, consumer compensation terms belong in the written brokerage agreement, and sponsored-licensee payment ordinarily flows through the sponsoring broker.
The June 24, 2026 PSI calculation outline does not list commission or split math as its own named family, though brokerage fees can appear in seller-net problems and compensation is tested elsewhere. Actual fee bases, payment triggers, cooperating-broker offers, seller or buyer obligations, internal splits, caps, referral fees, team deductions, taxes, and payment timing depend on written agreements and law. This guide teaches exam arithmetic, not compensation, tax, antitrust, or employment advice. Sources were checked through August 1, 2026.
The SPLIT method for commission problems
- State the target. Decide whether the problem asks for total fee, firm side, licensee share, referral amount, seller net, base, or rate.
- Pick the base. Circle sale price, rent, side commission, or other amount that the current rate actually applies to.
- List the chain. Draw arrows for total fee, firm allocation, licensee split, referral, and other stated deductions.
- Input decimal rates. Convert every percentage before multiplying or dividing.
- Test the result. Recombine splits, check magnitude, preserve cents, and confirm the answer addresses the requested level.
- Target
- Total commission
- Formula
- Base x decimal rate
- Most common trap
- Use percent as whole number
- Target
- Compensation base
- Formula
- Commission / decimal rate
- Most common trap
- Multiply instead of divide
- Target
- Commission rate
- Formula
- Commission / base x 100
- Most common trap
- Leave answer as decimal
- Target
- Brokerage side
- Formula
- Total fee x side percentage
- Most common trap
- Use sale price again
- Target
- Licensee gross share
- Formula
- Brokerage side x licensee percentage
- Most common trap
- Apply split to total fee
- Target
- Referral amount
- Formula
- Named referral base x referral rate
- Most common trap
- Assume wrong base
- Target
- Tiered fee
- Formula
- Tier 1 fee + Tier 2 fee
- Most common trap
- Apply high rate to full price
- Target
- Lease fee
- Formula
- Stated rent base x fee rate
- Most common trap
- Assume annual or monthly base
- Target
- Seller net
- Formula
- Seller proceeds - all seller debits
- Most common trap
- Subtract commission twice
- Target
- Effective rate
- Formula
- Total fee / full base x 100
- Most common trap
- Average tier percentages
Can you follow the calculation from facts to answer?
Basic percentage fee
Scenario: A brokerage agreement states a fee equal to 4.5% of a $425,000 sale price. No other fee component applies.
- Convert 4.5% to 0.045.
- $425,000 times 0.045 equals $19,125.
Answer: The total brokerage fee is $19,125.
Reverse the formula
Scenario: A brokerage fee is $18,500 and equals 5% of the sale price. What was the sale price?
- The unknown is the base, so divide rather than multiply.
- $18,500 divided by 0.05 equals $370,000. Checking: $370,000 times 0.05 equals $18,500.
Answer: The sale price was $370,000.
Two-level split
Scenario: Total transaction compensation is $24,000. The two brokerages split it 50-50, and a sponsored licensee receives 70% of the licensee's brokerage side.
- The brokerage side is $24,000 times 0.50, or $12,000.
- The licensee share is $12,000 times 0.70, or $8,400. The combined factor is 0.50 times 0.70, or 0.35 of total.
Answer: The sponsored licensee's gross share is $8,400.
Tiered fee
Scenario: A written agreement charges 5% on the first $300,000 and 3% on any sale-price amount above $300,000. The property sells for $440,000.
- First-tier fee is $300,000 times 0.05, or $15,000.
- The excess is $140,000, and $140,000 times 0.03 is $4,200. Add the tiers.
Answer: The total tiered fee is $19,200.
Referral off the brokerage side
Scenario: A brokerage receives a $15,000 side. Its referral agreement requires 25% of that gross side to the referring brokerage. The sponsored licensee then receives 70% of the remainder.
- Referral is $15,000 times 0.25, or $3,750, leaving $11,250.
- The licensee share is $11,250 times 0.70, or $7,875.
Answer: The referral is $3,750 and the sponsored licensee's stated post-referral gross share is $7,875.
Commission inside seller net
Scenario: A property sells for $500,000. The seller pays a 5% brokerage fee, a $310,000 mortgage payoff, an $8,000 buyer credit, and $6,000 in other seller costs.
- Commission is $500,000 times 0.05, or $25,000.
- Total seller debits are $25,000 plus $310,000 plus $8,000 plus $6,000, or $349,000.
Answer: Seller net before any other adjustment is $151,000.
Which math errors cost the most points?
- Trap
- Multiply price by 5 for a 5% commission.
- Correction
- Convert 5% to 0.05. Using 5 makes the result 100 times too large.
- Trap
- Every commission uses sale price as its base.
- Correction
- The agreement can use price, rent, a tier, a flat fee, or another defined base. Read the stated basis.
- Trap
- A 70% licensee split applies to total transaction compensation.
- Correction
- It generally applies to the brokerage-side amount identified by the internal agreement, not automatically to total fee.
- Trap
- Add a 50% firm split and 70% licensee split to get 120%.
- Correction
- Sequential percentages multiply. The licensee receives 0.50 times 0.70, or 35% of the original total in that simple chain.
- Trap
- Apply the higher tier rate to the entire sale price.
- Correction
- A marginal tier applies only to the amount within that tier unless the agreement expressly states otherwise.
- Trap
- Subtract a seller-paid commission and its cooperating split twice.
- Correction
- If the total fee already includes the cooperating allocation, subtract the total seller charge once.
- Trap
- Payment source determines agency.
- Correction
- Agency follows the brokerage relationship and designated agency, not merely whose funds contribute to compensation.
- Trap
- A commission rate is fixed by Illinois law.
- Correction
- Rates and fee structures are negotiable and belong in the written brokerage agreement.
- Trap
- A purchase contract can casually change the brokerage fee.
- Correction
- Current Illinois rules require a written signed brokerage-agreement amendment for the agreed amount or payment-time change.
- Trap
- Any referral payment is lawful if the math is correct.
- Correction
- Licensing, sponsorship, Illinois compensation law, and federal RESPA restrictions can prohibit a mathematically correct payment.
- Trap
- Round every intermediate split to the nearest dollar.
- Correction
- Carry full precision through the chain and round only as the problem directs, normally at the final money result.
- Trap
- Commission splits deserve more study time than PSI's named math families.
- Correction
- Know the supporting percentage skill, but prioritize seller net, buyer funds, prorations, transfer fees, PITI, equity, cap rate, LTV, and points.
Can you solve these original problems?
These questions are original study items aligned to the published outline. They are not copied, recalled, or predicted PSI questions.
1. A property sells for $360,000 and the stated brokerage fee is 4%. What is the fee?
- $1,440
- $14,400
- $40,000
- $144,000
Show answer and explanation
Answer: $14,400
$360,000 times 0.04 equals $14,400.
2. A $21,000 commission equals 5% of the fee base. What is the base?
- $105,000
- $400,000
- $420,000
- $1,050,000
Show answer and explanation
Answer: $420,000
$21,000 divided by 0.05 equals $420,000.
3. Total compensation is $30,000, the brokerage side is 50%, and the licensee receives 80% of that side. What is the licensee's gross share?
- $12,000
- $15,000
- $24,000
- $27,000
Show answer and explanation
Answer: $12,000
$30,000 times 0.50 equals $15,000; $15,000 times 0.80 equals $12,000.
4. Which statement about Illinois real estate commission rates is correct?
- The state fixes one rate
- All firms must charge the same rate
- The parties negotiate the written compensation terms
- The county assessor sets the rate
Show answer and explanation
Answer: The parties negotiate the written compensation terms
Illinois does not prescribe a standard commission percentage. The brokerage agreement states the negotiated basis or amount and payment time.
5. A seller is charged a $20,000 total brokerage fee that already includes a cooperating-broker allocation. How much should be deducted from seller net for that fee?
- $10,000
- $20,000
- $30,000
- $40,000
Show answer and explanation
Answer: $20,000
Deduct the total seller charge once. The internal or interbroker allocation does not create a second seller debit.
Which numbers and formulas are easy to confuse?
- Terms
- Commission rate vs. commission dollars
- Difference
- The rate is a percentage of the stated base. Commission dollars are the rate multiplied by that base.
- Question cue
- Percent input versus money output.
- Terms
- Total fee vs. brokerage side
- Difference
- Total fee is the full transaction compensation calculated under the stated agreement. A brokerage side is the portion allocated to one firm.
- Question cue
- Whole pie versus one firm's slice.
- Terms
- Brokerage split vs. licensee split
- Difference
- The first allocates compensation between firms. The second allocates one firm's share between the sponsoring broker and sponsored licensee.
- Question cue
- Firm-to-firm first, firm-to-licensee second.
- Terms
- Gross share vs. net pay
- Difference
- Gross share is the amount before other stated deductions. Net pay follows referral, team, transaction, desk, tax, or other applicable deductions.
- Question cue
- Before deductions versus after deductions.
- Terms
- Fee obligation vs. funding source
- Difference
- Obligation identifies who promised payment. Funding source identifies whose money is used at closing to satisfy that obligation.
- Question cue
- Who owes versus where dollars come from.
- Terms
- Percentage fee vs. flat fee
- Difference
- A percentage fee changes with its base. A flat fee remains the stated dollar amount unless another provision changes it.
- Question cue
- Variable multiplication versus fixed dollars.
- Terms
- Tiered rate vs. blended rate
- Difference
- Tiered rates apply different percentages to separate portions. The blended rate is total fee divided by the full base after the tiers are calculated.
- Question cue
- Marginal pieces versus one effective percentage.
- Terms
- Referral percentage vs. co-broker percentage
- Difference
- A referral fee compensates a referring brokerage under the referral agreement. A co-broker split allocates transaction compensation between participating brokerages.
- Question cue
- Introduced business versus transaction side.
- Terms
- Commission deduction vs. seller payoff
- Difference
- Commission is brokerage compensation. A payoff satisfies secured debt. Both can reduce seller net but represent different obligations.
- Question cue
- Service fee versus lien debt.
- Terms
- Negotiated rate vs. fixed market rate
- Difference
- A negotiated rate comes from the parties' agreement. A supposed marketwide standard is not a lawful or reliable assumption.
- Question cue
- Read the contract, never invent a norm.
What does the outline expect you to calculate?
- Topic
- Commission vocabulary
- What to know
- Commission, brokerage fee, compensation, percentage fee, flat fee, hourly fee, retainer, bonus, referral fee, valuable consideration, seller obligation, buyer obligation, sponsoring broker, sponsored licensee, cooperating broker, split, gross share, and net share
- Best exam move
- Identify the dollar base, rate, recipient, and deduction before using the word commission as if it were one universal amount.
- Topic
- Core percentage formula
- What to know
- Commission equals base times rate, C = B times R, sale price, compensation base, decimal rate, percentage, multiplication, dollars, cents, and written agreement
- Best exam move
- Convert the percentage to a decimal and multiply it by the stated base exactly once.
- Topic
- Percentage conversion
- What to know
- Percent sign, decimal point, divide by 100, 6 percent, 0.06, 4.5 percent, 0.045, 0.75 percent, 0.0075, basis points, fraction, calculator entry, and magnitude
- Best exam move
- Move two decimal places left and estimate the size before accepting the calculator result.
- Topic
- Reverse sale-price problem
- What to know
- Known commission, known rate, unknown base, division, commission divided by decimal rate, sale price, fee base, gross revenue, equation, inverse operation, reasonableness, and proof multiplication
- Best exam move
- Divide the dollar fee by the decimal rate, then multiply the answer by the rate to verify the original fee.
- Topic
- Reverse rate problem
- What to know
- Known commission, known base, unknown rate, commission divided by base, decimal, percentage conversion, multiply by 100, effective rate, blended rate, and no assumed agreement
- Best exam move
- Divide fee by base and express the decimal result as a percentage only at the end.
- Topic
- Compensation base
- What to know
- Sale price, gross sale price, net sale price, amount above threshold, rent, total lease value, first-year rent, flat dollar base, written definition, seller credit, personal property, concession, price reduction, and excluded amount
- Best exam move
- Use the base the problem states; do not silently subtract credits or personal property unless the agreement or question directs it.
- Topic
- Flat and percentage fees
- What to know
- Flat fee, percentage fee, hybrid fee, minimum fee, retainer, transaction fee, administrative fee, additional service, total compensation, one-time charge, and double counting
- Best exam move
- Calculate each distinct stated component and add it once, watching for a minimum that replaces rather than supplements the percentage.
- Topic
- Tiered commission
- What to know
- First dollars, amount over threshold, marginal rate, blended rate, breakpoint, tranche, sale price, separate subtotal, add tiers, and no one-rate shortcut
- Best exam move
- Split the base at the threshold, apply each rate only to its tier, then add the dollar subtotals.
- Topic
- Brokerage-side split
- What to know
- Listing brokerage, buyer brokerage, cooperating brokerage, total fee, side percentage, equal split, unequal split, offered amount, flat cooperating fee, compensation agreement, seller-funded amount, buyer obligation, and no agency inference
- Best exam move
- Calculate the brokerage side before applying an internal licensee split, and never infer agency from payment source alone.
- Topic
- Sponsored-licensee split
- What to know
- Brokerage gross, licensee share, company share, 50-50, 60-40, 70-30, 80-20, cap, graduated plan, desk fee, transaction fee, team split, employment agreement, and payment route
- Best exam move
- Multiply the brokerage-side dollars, not the original sale price or total commission, by the licensee's stated share.
- Topic
- Multiple split chain
- What to know
- Total commission, listing side, cooperating side, team allocation, licensee share, company share, referral deduction, order, gross-before-referral, net-before-tax, percentage of percentage, and compound factor
- Best exam move
- Draw one box per step and carry the dollar result into the next percentage rather than adding rates together.
- Topic
- Referral fee math
- What to know
- Referral brokerage, receiving brokerage, referring brokerage, percentage, gross side, agreed base, off-the-top deduction, after-split deduction, licensed referral, RESPA, transaction party, and no unlicensed nonparty fee
- Best exam move
- Apply the referral percentage to the exact amount named in the problem and preserve the lawful sponsoring-broker payment path.
- Topic
- Lease commission math
- What to know
- Monthly rent, annual rent, lease term, total lease value, percentage of annual rent, one month rent, rent escalation, renewal, tenant representation, landlord representation, residential leasing agent, and stated base
- Best exam move
- Convert rent to the required term before applying the fee and never assume one month's rent when the problem gives a different basis.
- Topic
- Commission in seller net
- What to know
- Sale price, commission debit, mortgage payoff, lien, seller credit, title cost, transfer tax, attorney fee, repair, proration, seller net, negative net, funds brought, and once-only deduction
- Best exam move
- Calculate the fee from the stated base, place it in the seller ledger only if charged to the seller, and subtract it once.
- Topic
- Buyer brokerage funding
- What to know
- Buyer fee obligation, seller-paid amount, seller credit, listing-broker payment, buyer shortfall, written buyer agreement, compensation source, closing statement, agency, designated agent, and no automatic role change
- Best exam move
- Separate who owes the fee from whose funds may satisfy it and from which agency relationship exists.
- Topic
- Negotiability and antitrust
- What to know
- No standard commission, independently set fee, negotiation, written brokerage agreement, price fixing, competitor agreement, commission schedule, boycott, steering, disclosure, consumer choice, and current rate
- Best exam move
- Use only the stated rate and reject any answer claiming firms may agree on a marketwide fee.
- Topic
- Illinois payment route
- What to know
- Sponsoring broker, sponsored licensee, compensation for licensed activity, another sponsoring broker, former sponsor exception, qualifying licensee-owned entity, payment record, written employment agreement, unlicensed person, rebate, referral, and discipline
- Best exam move
- Calculate the share first, then route payment through the legally permitted sponsoring-broker structure.
- Topic
- Rounding and audit
- What to know
- Carry precision, cents, nearest cent, nearest dollar, stated instruction, subtotal, independent recomputation, effective percentage, magnitude check, add-to-total test, seller-net reconciliation, and no premature rounding
- Best exam move
- Keep full calculator precision through the split chain and round only the final requested amount unless instructed otherwise.
How should you drill this calculation?
- Session
- Session 1
- Focus
- Master decimal conversion
- Proof you are ready
- Convert thirty percentages between percent and decimal form with no errors, including values below 1%.
- Session
- Session 2
- Focus
- Solve the three core formulas
- Proof you are ready
- Complete ten base-times-rate, ten commission-divided-by-rate, and ten commission-divided-by-base problems at 90% accuracy.
- Session
- Session 3
- Focus
- Draw split chains
- Proof you are ready
- Diagram twenty total-to-side-to-licensee problems and prove each by recombining the firm and licensee shares.
- Session
- Session 4
- Focus
- Practice tiers and referrals
- Proof you are ready
- Solve fifteen threshold, referral-base, order-of-operation, and post-referral split scenarios without adding percentages.
- Session
- Session 5
- Focus
- Connect commission to closing math
- Proof you are ready
- Insert correctly calculated fees into ten seller-net ledgers without double counting or assuming the payer.
- Session
- Session 6
- Focus
- Complete a mixed commission set
- Proof you are ready
- Score at least 90% and justify each answer by target, base, decimal rate, split level, payment route, and reasonableness.
Do not count recognition as mastery. Close the notes and explain the rule, apply it to a new fact pattern, and identify why each distractor fails.
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From concept to decision
Drill this topic, then review the explanation
Pass Illinois gives you original national and Illinois questions, topic-by-topic study, clear explanations, timed practice, flashcards, progress tracking, and Math Coach. Start free, find the weak distinction, and focus the next session there.
Questions students ask about Real Estate Commission Math
How do you calculate a real estate commission?
Multiply the stated compensation base by the stated rate in decimal form. A $425,000 sale with a 4.5% fee produces $425,000 times 0.045, or $19,125. Use the base named in the agreement or question and do not assume every fee is based on sale price.
How do you convert a commission percentage to a decimal?
Move the decimal point two places left or divide by 100. Thus 6% becomes 0.06, 4.5% becomes 0.045, and 0.75% becomes 0.0075. Multiplying by 4.5 instead of 0.045 makes the result 100 times too large.
How do you find the sale price from commission and rate?
Divide the commission by the decimal rate. If a 5% fee equals $18,500, the base is $18,500 divided by 0.05, or $370,000. Division is the reverse of the original base-times-rate relationship.
How do you calculate a real estate agent split?
First calculate the dollar amount available to the brokerage or side. Then multiply that amount by the licensee's stated split. If a side receives $12,000 and the sponsored licensee receives 70%, the licensee's gross share is $8,400 and the brokerage retains $3,600 before any other stated deduction.
Does a 50-50 co-broker split mean the agent receives half of total commission?
Not necessarily. A co-broker split divides compensation between brokerages. The sponsored licensee's internal split is a later calculation on that licensee's brokerage side. If total compensation is split 50-50 between firms and the licensee receives 70% of one side, the licensee receives 35% of the original total before other deductions.
Are real estate commission rates fixed in Illinois?
No. Compensation is negotiable and not fixed by Illinois law. The basis or amount and payment time belong in the written brokerage agreement. A change to those agreed terms must be written and signed by the brokerage-agreement parties under the current Illinois rule.
Who may pay an Illinois sponsored licensee?
A sponsored licensee ordinarily accepts compensation for licensed activity through the sponsoring broker, subject to limited statutory exceptions. Another brokerage pays the licensee's sponsoring broker rather than paying the individual licensee directly. Keep the legal payment route separate from the arithmetic split.
How does commission affect seller net?
When the seller is charged the brokerage fee, subtract the calculated amount once from sale proceeds along with payoffs, seller credits, transfer charges, and other seller debits. Do not subtract the total fee and then subtract the same cooperating-broker portion a second time.
Are commission splits a named topic on the 2026 PSI calculation outline?
No. The current national calculation heading names seller net, buyer funds, prorations, transfer fees, PITI, equity, capitalization rate or rate of return, LTV, and points or origination fees. Basic commission math can still support seller-net and compensation questions, so learn it without displacing the named families.
Are these official Illinois real estate exam questions?
No. They are original practice questions aligned to the broker outline effective June 24, 2026 and Illinois compensation law as checked through August 1, 2026. Actual brokerage agreements and sponsored-licensee contracts control real compensation calculations.
Primary sources
- PSI Illinois Candidate Information Booklet dated June 24, 2026
- 225 ILCS 454/1-10, current compensation definition
- 225 ILCS 454/10-15, Illinois compensation requirements
- 68 Ill. Adm. Code 1450.770, written compensation terms
- Consumer Financial Protection Bureau, Regulation X Section 1024.14
- Federal Trade Commission, competition guidance for real estate
The current official outline controls the tested scope. Statutes, regulations, and official agency materials control when a general study rule and a jurisdiction-specific rule differ.
Editorial status
Checked against primary sources
The Pass Illinois editorial team last checked this guide on August 1, 2026. Every practice question is an original study item, and the source links above let you verify the rules that support the lesson.