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Imani’s rent increased from $560 per month to $600 per month. Her friend, Ariana, had her rent increase from $825 to 875. Who had the larger percent increase in their rent? Remember to set up your ratios using the original rent.

Respuesta :

To calculate the percentage increase between two numbers, we work out the difference between the two numbers being compared and divide the increase by the original number and multiply the answer by 100.

The formula is given to be:

[tex]PI=\frac{New\text{ }Amount-Old\text{ }Amount}{Old\text{ }Amount}\times100[/tex]

Imani's Rent Increase

Old rent: $560

New rent: $600

The percentage increase is:

[tex]\begin{gathered} PI=\frac{600-560}{560}\times100=\frac{40}{560}\times100 \\ PI=7.14\% \end{gathered}[/tex]

Ariana's Rent Increase

Old rent: $825

New rent: $875

The percentage increase is:

[tex]\begin{gathered} PI=\frac{875-825}{825}\times100=\frac{50}{825}\times100 \\ PI=6.06\% \end{gathered}[/tex]

Therefore, Imani had a larger percentage increase.

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