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Express the following as percentages: (1) 25 of 50 . (2) 36 of 20 (4) 72 of 120 . (5) 100 of 300 (7) R120 of R90* (8) 55 kg of 88 kg (10) 5 g of 2 kg (11) 240 m of 3 km

Ask by Barnett Young. in South Africa
Feb 03,2025

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Answer

Here are the percentages: 1. 50% 2. 180% 4. 60% 5. 33.33% 7. 133.33% 8. 62.5% 10. 0.25% 11. 8%

Solution

Sure, here are the given ratios expressed as percentages: 1. **25 of 50** \[ \frac{25}{50} \times 100 = 50\% \] 2. **36 of 20** \[ \frac{36}{20} \times 100 = 180\% \] 4. **72 of 120** \[ \frac{72}{120} \times 100 = 60\% \] 5. **100 of 300** \[ \frac{100}{300} \times 100 = 33.\overline{3}\% \ (\text{or } 33.33\%) \] 7. **R120 of R90** \[ \frac{120}{90} \times 100 = 133.\overline{3}\% \ (\text{or } 133.33\%) \] 8. **55 kg of 88 kg** \[ \frac{55}{88} \times 100 = 62.5\% \] 10. **5 g of 2 kg** First, convert kilograms to grams to have consistent units: \[ 2 \text{ kg} = 2000 \text{ g} \] Then calculate the percentage: \[ \frac{5}{2000} \times 100 = 0.25\% \] 11. **240 m of 3 km** First, convert kilometers to meters to have consistent units: \[ 3 \text{ km} = 3000 \text{ m} \] Then calculate the percentage: \[ \frac{240}{3000} \times 100 = 8\% \] --- **Summary of Percentages:** 1. 50% 2. 180% 4. 60% 5. 33.33% 7. 133.33% 8. 62.5% 10. 0.25% 11. 8%

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Bonus Knowledge

(1) To express 25 of 50 as a percentage, you divide 25 by 50, then multiply by 100. So, (25/50) × 100 = 50%. (2) Similarly, for 36 of 20, divide 36 by 20 and multiply by 100. This gives you (36/20) × 100 = 180%. (4) For 72 of 120, it's (72/120) × 100 = 60%. (5) For 100 of 300, it’s (100/300) × 100 = 33.33%. (7) To find R120 of R90, do (120/90) × 100 = 133.33%. (8) For 55 kg of 88 kg, calculate (55/88) × 100 = 62.5%. (10) For 5 g of 2 kg, convert 2 kg to grams (2000 g) and then calculate (5/2000) × 100 = 0.25%. (11) Lastly, for 240 m of 3 km (3000 m), it's (240/3000) × 100 = 8%.

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