A rate is not a number you remember. It is materials, labour, plant, waste, productivity, overheads and profit — assembled, dated and located. Here is the whole arithmetic for one cubic metre of concrete.
Most disputes about a rate are not disputes about the number. They are disputes about what the number was supposed to include. A rate that states these ten things is arguable; one that does not is only assertable.
| Component | What it means | Where it goes wrong |
|---|---|---|
| Materials | Delivered cost at the site gate, in the unit you actually buy in — cement by the bag, granite by the cubic metre. | Using an ex-works price and forgetting haulage, or pricing in a unit you do not buy in. |
| Waste | The gap between what is delivered and what ends up in the work. Carried in the constituent quantity, not bolted on afterwards. | A single blanket percentage across every material. Cement waste and granite waste are not the same problem. |
| Labour | Gang cost per hour, multiplied by the hours the operation actually takes. | Pricing a day rate against a per-m³ item without converting through an output. |
| Productivity | The output — how much of the item one gang produces per hour. This is the number that makes labour a rate rather than a guess. | Borrowing an output from a textbook without asking whether it assumed your site access, your gang and your supervision. |
| Plant | Hire, fuel and operator, at the utilisation the item actually uses — a mixer serving several items is not fully charged to one. | Charging a full day of mixer hire to a single item that used it for two hours. |
| Overheads | Site establishment and head-office costs recovered across the work, as a stated percentage. | Recovering the same overhead twice — once in preliminaries and again in every rate. |
| Profit and risk | The return, stated as a percentage on net cost plus overheads, and visible. | Hiding it inside the material prices, which makes the whole rate unarguable. |
| Location | The city, and often the part of it. Lagos Island access is not Ibadan access. | A national rate. There is no such thing. |
| Pricing date | The month the constituent costs were true. | Reusing a rate whose date nobody recorded. This is the single most common failure. |
| Source and verification | Where the figure came from — a quotation, a priced tender, your own build-up, or an AI draft — and whether a human has checked it. | A machine-drafted figure that has quietly become “our rate” through repetition. |
Every line, every multiplication, and the two percentage additions at the end.
| Constituent | Quantity | Unit | Cost | Amount |
|---|---|---|---|---|
| Material Cement, 42.5N — 7.0 bags/m³ including 5% waste | 7.35 | bag | ₦9,800 | ₦72,030 |
| Material Sharp sand — 0.44 m³ including 8% waste | 0.48 | m³ | ₦22,000 | ₦10,560 |
| Material Granite 19 mm — 0.88 m³ including 8% waste | 0.95 | m³ | ₦48,000 | ₦45,600 |
| Material Water, curing and admixture allowance | 1.00 | item | ₦1,500 | ₦1,500 |
| Labour Mason gang — mix, place, vibrate and finish | 1.60 | hr | ₦4,500 | ₦7,200 |
| Labour Labourer — batching and handling | 4.80 | hr | ₦2,200 | ₦10,560 |
| Plant Concrete mixer, 0.4 m³ — hire, fuel and operator | 0.55 | hr | ₦6,500 | ₦3,575 |
| Plant Poker vibrator — hire and fuel | 0.35 | hr | ₦3,000 | ₦1,050 |
| Net cost | ₦152,075 | |||
| Overheads and establishment charges, 10% | ₦15,207.50 | |||
| Profit and risk, 15% on net cost plus overheads | ₦25,092.38 | |||
| Unit rate per m³ | ₦192,374.88 | |||
Read this before using any figure above. These constituent costs are an illustration of the method for Lagos as at 25 August 2026. They are not a market survey, not a quotation and not current evidence — Nigerian material prices move fast enough that a figure published on a website is out of date by the time you read it. Re-price every line against your own suppliers. Our position on published figures.
The rate above took twenty minutes to assemble. Doing that again from scratch on the next project is the waste. In BillMate the finished build-up saves into your rate library carrying its city, its month and its source — so next time it is a starting point with a known age rather than a number in an old workbook.
| Description | Unit | Rate | Location | Priced | Source | Status |
|---|---|---|---|---|---|---|
| Excavate trench n.e. 1.50 m deep, deposit spoil on site | m³ | ₦4,500 | Lagos — Lekki | 2026-05 | Priced tender | Current |
| 225 mm hollow sandcrete blockwork in walls, 1:6 mortar | m² | ₦8,200 | Lagos — Ikeja | 2026-06 | Priced tender | Current |
| Reinforced concrete grade 25 in ground beams | m³ | ₦182,400 | Lagos — Lekki | 2026-04 | Own build-up | Current |
| High-yield reinforcement, 12 mm, cut, bent and fixed | kg | ₦2,350 | Abuja — Gwarinpa | 2025-02 | Priced tender | Stale |
AI drafts; the Quantity Surveyor verifies.
BillMate's AI assistant can suggest a build-up structure for an item you have not priced before — which constituents belong in it, roughly what output to assume. That is genuinely useful, and it is the part of the work that is mostly recall.
What it cannot do is tell you what a bag of cement costs in Ikeja this month. A model produces that figure from training data of uncertain age and unknown local weighting, and it will produce it confidently whether or not it has any basis. BillMate marks every AI rate as unverified, and prints the count of unverified rates on the exported bill where the client's surveyor can see it.
Use a draft to keep working while you chase the real price. Do not let it become "our rate" through repetition. How the assistant works · What it is allowed to do.
Want to try the arithmetic without installing anything? The unit rate build-up calculator on QS Fieldbook runs in the browser with every assumption on screen — material, labour, plant, overheads and profit — and shows the same arithmetic this page sets out. It is free and there is nothing to sign up for.
Rate build-ups are free — they are part of the 2-project free tier, not the licence.