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Chapter 8: Problem 68

My rent increased from \(20 \%\) to \(30 \%\) of my income, so the percent increase is \(10 \%\).

Short Answer

Expert verified
The percent increase in the portion of the rent is \(50 \%\).

Step by step solution

01

Identify the initial and final values

Given that the initial rent as a fraction of income was \(20 \%\), and the increased (or final) rent as a fraction of income is \(30 \%\). Here, we need to find the percentage increase, i.e., the amount by which the rent increased in terms of the fraction of income.
02

Calculate the difference between final and initial values

Subtract the initial value from the final value to get the increase in rent as a fraction of income. This is \(30 \% - 20 \% = 10 \%\)
03

Calculate the percent increase

The percentage increase from \(20 \%\) to \(30 \%\), given that the increase was \(10 \%\) of the original, can be calculated using the formula for percentage increase: \(\frac {Difference}{Initial Value} 脳 100 = \frac {10}{20} 脳 100 = 50 \% \)

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