Subjects finance, algebra

Percentage Change

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Percentage Change


1. **Stating the problem:** We want to calculate the percentage decrease in various pension and lump sum payables from 2022 to 2023 using the formula for percentage decrease. 2. **Formula used:** The percentage decrease is given by $$\text{Percentage decrease} = \frac{\text{new value} - \text{old value}}{\text{old value}} \times 100\%$$ where the new value is the 2023 amount and the old value is the 2022 amount. 3. **Calculations:** - Monthly Pension payable: $$\frac{27236 - 26383}{26383} \times 100 = \frac{853}{26383} \times 100 \approx 3.23\%$$ increase (not a decrease). - Lump sum payable: $$\frac{941265 - 919363}{919363} \times 100 = \frac{21902}{919363} \times 100 \approx 2.38\%$$ increase. - Discharge monthly pension payable: $$\frac{25024 - 23248}{23248} \times 100 = \frac{1776}{23248} \times 100 \approx 7.64\%$$ increase. - Discharge lump sum payable: $$\frac{832567 - 799313}{799313} \times 100 = \frac{33254}{799313} \times 100 \approx 4.16\%$$ increase. - Monthly pension payable to spouse(s): $$\frac{13997 - 13692}{13692} \times 100 = \frac{305}{13692} \times 100 \approx 2.23\%$$ increase. - Lump sum payable to beneficiaries: $$\frac{2712548 - 2592409}{2592409} \times 100 = \frac{120139}{2592409} \times 100 \approx 4.63\%$$ increase. - Retirement Benefit (only 2022 value given): No comparison possible. 4. **Interpretation:** All values show an increase from 2022 to 2023, so there is no percentage decrease in these pension and lump sum payables. 5. **Regarding the graph:** The bars represent profits for different Samsung Galaxy models approximately as follows: - Samsung Galaxy S23: 3333.16 - Samsung Galaxy S23 ULTRA: 4999.83 - Samsung Galaxy A34 5G: 1166.50 - Samsung Galaxy A14: 549.82 These bars are vertical and aligned horizontally, showing relative profit sizes. Final answer: There is no percentage decrease; all values increased by small percentages as calculated above.