Women made up 24% of a firm's rolls at the start of 2023. That share rose by 50% during 2023 and then fell by 25% during 2024. What per cent of the rolls did women make up at the end of 2024?

Each change is taken OF the share itself, so multiply: $24\times 1.50=36$ at the end of 2023, then $36\times 0.75=27$ at the end of 2024. 36% stops after the first year. 30% works out the second fall on the original 24 (25% of 24 = 6, giving 36 - 6 = 30) instead of on the 36 the share had reached. 49% reads both moves as percentage points $(24+50-25)$, which would push the share past 70% at one stage - a sure sign the reading is wrong.