High School

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------------------------------------------------ Determine the following percentages:

1. 11.25 kg compared to 7.5 kg
2. 86.5 compared to 12.5
3. 126.25 km compared to 50.5 km
4. RM1,740.80 compared to RM1,360
5. 308.775 l compared to 89.5 l
6. 215.34 m compared to 38.8 m

Answer :

To determine the percentage increase from a smaller number to a larger number, you can use the following formula:

[tex]\text{Percentage Increase} = \left(\frac{\text{New Value} - \text{Original Value}}{\text{Original Value}}\right) \times 100\%[/tex]

Let's apply this formula to each of the given comparisons:

  1. 11.25 kg compared to 7.5 kg

    [tex]\text{Percentage Increase} = \left(\frac{11.25 - 7.5}{7.5}\right) \times 100\% = \left(\frac{3.75}{7.5}\right) \times 100\% = 50\%[/tex]

  2. 86.5 compared to 12.5

    [tex]\text{Percentage Increase} = \left(\frac{86.5 - 12.5}{12.5}\right) \times 100\% = \left(\frac{74}{12.5}\right) \times 100\% = 592\%[/tex]

  3. 126.25 km compared to 50.5 km

    [tex]\text{Percentage Increase} = \left(\frac{126.25 - 50.5}{50.5}\right) \times 100\% = \left(\frac{75.75}{50.5}\right) \times 100\% = 150\%[/tex]

  4. RM1 740.80 compared to RM1 360

    [tex]\text{Percentage Increase} = \left(\frac{1740.80 - 1360}{1360}\right) \times 100\% = \left(\frac{380.80}{1360}\right) \times 100\% \approx 28\%[/tex]

  5. 308.775 l compared to 89.5 l

    [tex]\text{Percentage Increase} = \left(\frac{308.775 - 89.5}{89.5}\right) \times 100\% = \left(\frac{219.275}{89.5}\right) \times 100\% = 245\%[/tex]

  6. 215.34 m compared to 38.8 m

    [tex]\text{Percentage Increase} = \left(\frac{215.34 - 38.8}{38.8}\right) \times 100\% = \left(\frac{176.54}{38.8}\right) \times 100\% \approx 455\%[/tex]

Remember that these calculations show how much larger the new value is compared to the original value, expressed as a percentage of the original value. This method is useful in various real-world contexts, such as finance and business.