Worked example: Nurse, 32, £30,000 of turnover
Picture a nurse aged 32 for the 2026/27 tax year, trading as a sole trader with £30,000 of turnover and a further £15,000 of other personal income stacking below. The optimisation goal for this profile is a balance of cash and pension contribution (modest pension preference, treating £1 of pension as £0.50 of cash for the search).
Running the engine for this exact profile:
- Taxable profits after the trading-allowance choice: £28,500
- Income tax: £4,053
- Class 4 NI: £956
- Class 2 (voluntary): £179
- Net cash: £23,312 (17.3% effective on turnover)
- Same turnover as a Ltd Co (no pension): £20,927 — a gap of £2,385 in favour of staying a sole trader
The vignette is hypothetical but the numbers are not — every figure above was produced by the same engine code that powers the live BracketMath calculators, run at build time on inputs drawn from a single CSV row.