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QUESTION:
Suppose your income rises from $39,000 to $51,000, while the CPI rises from 122 to 169. Your standard of living has likely _______.

ANSWER:

a) Fallen

Step 1: Calculate the percentage increase in income

Percentage Increase in Income=51,00039,00039,000×100=12,00039,000×10030.77%\text{Percentage Increase in Income} = \frac{51,000 - 39,000}{39,000} \times 100 = \frac{12,000}{39,000} \times 100 \approx 30.77\%

Step 2: Calculate the percentage increase in CPI

Percentage Increase in CPI=169122122×100=47122×10038.5%\text{Percentage Increase in CPI} = \frac{169 - 122}{122} \times 100 = \frac{47}{122} \times 100 \approx 38.5\%

Comparison

  • Percentage Increase in Income: approximately 30.77%
  • Percentage Increase in CPI: approximately 38.5%

Since the percentage increase in the CPI (38.5%) is greater than the percentage increase in your income (30.77%), your standard of living has likely fallen because the cost of living increased more than your income did.


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