Worked Solution
✓ VerifiedGiven Data:
- Labour Turnover Rate (Flux Method) = 14%
- Labour Turnover Rate (Replacement Method) = 8%
- Labour Turnover Rate (Separation Method) = 6%
- Number of Workers Replaced = 36
Step 1: Compute Average Number of Workers
Using the Replacement Method formula:
Replacement Method Rate = (Number of Replacements / Average Workers) × 100
8 = (36 / Average Workers) × 100
Average Workers = (36 × 100) / 8 = 450 workers
(ii) Number of Workers Left and Discharged (Separations):
Using the Separation Method formula:
Separation Method Rate = (Number of Separations / Average Workers) × 100
6 = (Number of Separations / 450) × 100
Number of Separations = (6 × 450) / 100 = 27 workers
Thus, the number of workers left and discharged = 27.
(i) Number of Workers Recruited and Joined (Accessions):
Using the Flux Method formula:
Flux Method Rate = [(Number of Separations + Number of Accessions) / Average Workers] × 100
14 = [(27 + Number of Accessions) / 450] × 100
27 + Number of Accessions = (14 × 450) / 100 = 63
Number of Accessions = 63 − 27 = 36 workers
Thus, the number of workers recruited and joined = 36.
Verification: Flux Rate = (27 + 36) / 450 × 100 = 63/450 × 100 = 14% ✓
Write it like this
1The skeleton
- Start with a 'Given Data' box — list all four given values (three rates + replacements) before touching a formula; examiners reward structured setup and it prevents you from mixing up which rate belongs to which method mid-calculation.
- Anchor everything on Replacement Method first — even though the question asks for accessions and separations, you MUST find Average Workers first using the 36 replacements; skip this and every subsequent number is unverifiable.
- Label each formula explicitly before substituting — write 'Replacement Method Rate = (Replacements / Average Workers) × 100' in words, then plug in; examiners award a step mark here even if your arithmetic slips.
- Solve separations before accessions — Separation Method gives you 'left and discharged' directly, and that number feeds into the Flux Method equation; doing it in reverse forces you to solve two unknowns at once.
- End with a one-line verification — show Flux Rate = (27 + 36)/450 × 100 = 14% ✓; this single line signals exam maturity and recovers any doubt the examiner has about your method.
2Examiner-rewarded phrases
3Common trap
Most students jump straight to Flux Method because it's listed first in the question — but Flux needs both Separations AND Accessions, so you end up with two unknowns and go blank. Always decode which method gives you a clean single-unknown equation first (that's Replacement → Average Workers, then Separation → Separations).