Seller net problems: how to work backward from what the seller wants to walk away with

The seller net formula

A seller net question asks how much money the seller walks away with, or what price the seller needs to walk away with a set amount. PSI's content outline for the New Jersey salesperson exam lists "seller's net proceeds" and "real property transfer fees" side by side under Calculations for Transactions, part of Real Estate Calculations, the math area worth 7% of the salesperson test. Expect the two to show up together.

Going forward, from price to net, is plain subtraction:

• Net to seller = sale price - commission - other seller costs - loan payoff.
• Commission = sale price x commission rate. The rate always applies to the sale price, never to the net.
• Other seller costs are whatever the question lists: attorney fees, a credit to the buyer, repairs, the Realty Transfer Fee in a New Jersey question.

Example 1, forward. Maya sells for $425,000. The commission is 5% (in New Jersey, broker compensation is fully negotiable and not set by law; 5% is just the rate in this example). Her other costs are $3,200, her loan payoff is $212,530, and the Realty Transfer Fee on $425,000 is $3,455 (worked out in the RTF section below).

1. Commission: $425,000 x 0.05 = $21,250.
2. Subtract everything: $425,000 - $21,250 - $3,455 - $3,200 - $212,530 = $184,565.
3. Maya's net is $184,565.

For the full formula sheet, see the real estate math study guide.

Working backward to a sale price

The harder version gives you the net and asks for the price. The commission is a percentage of a price you do not know yet, so you cannot subtract it first. Instead, think of the price as 100%. After a 5% commission, the seller keeps 95% of the price, and that 95% has to cover the payoff, the fixed costs and the cash the seller wants. That gives three steps:

1. Add up everything the seller must end up covering in dollars: the desired net cash, the loan payoff and any fixed costs.
2. Subtract the commission rate from 100%: 100% - 5% = 95%, or 0.95.
3. Divide the total from step 1 by the decimal from step 2. That is the price: price = (net + payoff + fixed costs) / (1 - commission rate).

Example 2. Luis wants to walk away with $90,000 in cash. He owes $185,000 to pay off his loan and has $5,000 of other costs. The commission is 5%.

1. Total to cover: $90,000 + $185,000 + $5,000 = $280,000.
2. Seller keeps 95%: 1 - 0.05 = 0.95.
3. Price: $280,000 / 0.95 = $294,736.84.
4. Check it forward: commission $294,736.84 x 0.05 = $14,736.84. Then $294,736.84 - $14,736.84 - $5,000 - $185,000 = $90,000.00.

Always run the check. It takes 30 seconds and it catches the most common wrong answer, which is the next section.

The trap: adding the commission to the net

The tempting shortcut is to take what the seller needs and add 5% to it: $280,000 x 1.05 = $294,000. It looks reasonable and it is almost always an answer choice. It is wrong because 5% of $280,000 is smaller than 5% of the real price. The commission is charged on the whole sale price, including the commission itself.

The trap leaves Luis $700 short. The gap gets bigger as the rate and the price go up. A good habit: when you see a percentage of an unknown price, divide by (1 - rate). Multiplying by (1 + rate) is never the move in a seller net problem.

Loan payoff is not the loan balance

Questions sometimes give you the loan balance and sometimes the payoff, and the two are not the same. The Consumer Financial Protection Bureau warns that your current balance might not reflect what you need to fully pay off the loan: the payoff includes interest due through the day you pay off the loan, fees you have been charged and not paid, and any prepayment penalty.

Mortgage interest is paid in arrears, so on the closing date the seller owes interest for the days since the last payment. That is where Maya's $212,530 came from: a principal balance of $212,000 at 6%, closing on the 15th of the month, with the payment on the 1st covering the previous month. Using a 360-day year, $212,000 x 0.06 / 360 = $35.3333 a day, times 15 days is $530, so the payoff is $212,530. This is the same daily-interest math as in our proration problems guide.

• If the question says "payoff", subtract it as given.
• If it gives a balance plus accrued interest, add the interest to the balance first.
• If it gives only a balance and says nothing about interest, use the balance. Do not invent interest the question does not mention.

Where the NJ Realty Transfer Fee fits

New Jersey charges a Realty Transfer Fee when the deed is recorded. The Division of Taxation states that the State imposes it on the seller, and that the seller is statutorily responsible for both the RTF and the Graduated Percent Fee on sales over $1 million. So in a New Jersey seller net problem, the RTF is one more seller cost.

The fee is charged per $500 of the price, at a rate that rises in bands. The Division's regulation (N.J.A.C. 18:16-2.1) says per $500 of consideration "or fractional part thereof", so a partial $500 counts as a full one. One more twist: there are two schedules, and which one you use depends on whether the total price is over $350,000.

Maya's $425,000 sale is over $350,000, so every band uses the right-hand column: $150,000 is 300 units of $500 at $2.90 = $870; the next $50,000 is 100 units at $4.25 = $425; the remaining $225,000 is 450 units at $4.80 = $2,160. Total: $3,455.

Reduced rates apply to qualifying sellers who are 62 or older, blind or disabled, and to low and moderate income housing, claimed on Form RTF-1. Use the standard schedule unless the question says the seller qualifies. Our RTF calculator shows the band-by-band math for any price.

Working backward when the fee depends on the price

Here is the problem. To find the price, you need to know the RTF. To know the RTF, you need the price. The fix is to guess, then correct. The first guess gets close, and the fee usually stops changing within a few rounds.

1. Ignore the RTF and solve: price = (net + payoff + fixed costs) / (1 - rate).
2. Work out the RTF at that price.
3. Add that RTF to the fixed costs and solve again.
4. Work out the RTF at the new price. If it matches the last one, you are done. If not, repeat step 3.

Example 3. Nadia wants $120,000 in cash. Her payoff is $260,000, her other costs are $4,500, and the commission is 5%. She pays the standard RTF.

1. First pass, no RTF: ($120,000 + $260,000 + $4,500) / 0.95 = $384,500 / 0.95 = $404,736.84.
2. RTF at $404,736.84: $870 + $425 + 410 units at $4.80 ($1,968) = $3,263.00.
3. Second pass: ($384,500 + $3,263.00) / 0.95 = $408,171.58. RTF there is $3,296.60.
4. Third pass: ($384,500 + $3,296.60) / 0.95 = $408,206.95. RTF there is still $3,296.60, so stop.
5. Check: $408,206.95 - $20,410.35 commission - $3,296.60 RTF - $4,500 - $260,000 = $120,000.00.

On a multiple-choice question you can also work from the choices: take each price, subtract the commission, the RTF at that price and the other costs, and see which one lands on the seller's number.

The $350,000 jump

The RTF does not rise smoothly. Once the price goes over $350,000, the higher schedule applies to the whole price, not just the part above $350,000. Going from $350,000 to $350,001 raises the fee by $634.80. Over a narrow range, a higher price leaves the seller with less.

With these numbers, any price from $350,000.01 to $350,673 nets less than $350,000 does. The first whole-dollar price that beats it is $350,674.

Example 4. Theo wants $130,000 in cash. His payoff is $195,000, his other costs are $5,400, and the commission is 5%. He needs $330,400 left after commission and RTF.

1. No RTF: $330,400 / 0.95 = $347,789.47. That is under $350,000, so the low schedule applies, and the RTF is $2,089.40.
2. Second pass: ($330,400 + $2,089.40) / 0.95 = $349,988.84. RTF there is $2,105.00.
3. Third pass: ($330,400 + $2,105.00) / 0.95 = $350,005.26. Now the price is over $350,000, so the high schedule applies: RTF $2,739.80.
4. Fourth pass: ($330,400 + $2,739.80) / 0.95 = $350,673.47. RTF $2,744.60.
5. Fifth pass: ($330,400 + $2,744.60) / 0.95 = $350,678.53. RTF still $2,744.60. Done.
6. Check: $350,678.53 - $17,533.93 - $2,744.60 - $195,000 - $5,400 = $130,000.00.

If you stop at the second pass, you get $349,988.84 and Theo comes up $15.60 short. If you stop at the third, the price is over $350,000 and he is $634.80 short, because the whole fee moved to the higher schedule. Whenever your answer lands near $350,000, check which side of the line it is on and recompute the fee from scratch.

The same kind of cliff sits at $1 million. Under P.L. 2025, c. 69, effective July 10, 2025, the seller pays a Graduated Percent Fee on residential and certain other property classes, and the Division describes it as a straight percentage of the total price: 1% over $1,000,000 up to $2,000,000, rising to 3.5% over $3,500,000. A $1,000,001 sale carries about $10,000 of GPF that a $1,000,000 sale does not. Exam questions at that price will say so if they expect you to use it.

Doing seller net problems on test day

PSI's bulletin lists handheld calculators among prohibited devices and does not describe a provided calculator, so practice these by hand. At a test center you get a piece of scratch paper and a pencil. Remote candidates are not allowed scratch paper, which makes a multi-pass problem harder to keep straight.

• Read what the question asks for: the net, or the price. Forward and backward problems use the same numbers in opposite directions.
• List every seller cost in one column before you calculate, and note which are flat dollars and which are percentages.
• For a price, divide by (1 - rate). Then check forward against the choices.
• In a New Jersey question that mentions the transfer fee, check whether the price is over $350,000 before you pick a schedule.
• Our suggestion: if a choice equals the net times (1 + rate), treat it as the trap and verify before choosing it.

The real estate math hub has the formulas and calculators in one place, and the math drills mix seller net problems with prorations and commission splits so you practice choosing the right method, not just running it.