Worked example: Beauty therapist, 30, £25,000 of turnover
Picture a beauty therapist aged 30 for the 2026/27 tax year, trading as a sole trader with £25,000 of turnover. The optimisation goal for this profile is pure net cash today — the pension lever is off.
Running the engine for this exact profile:
- Taxable profits after the trading-allowance choice: £23,750
- Income tax: £2,236
- Class 4 NI: £671
- Class 2 (voluntary): £179
- Net cash: £20,664 (12.3% effective on turnover)
- Same turnover as a Ltd Co (no pension): £20,038 — a gap of £626 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.