Sheila's salary fell from $42,000 last year to $37,800 this year because of furlough days. Find the percent decrease.
A11%
B10%
C12%
D4%
Answer & Solution
Correct answer: B. 10%
1. Find the amount of decrease: 42,000 minus 37,800 equals 4,200.
2. A decrease is measured against the original amount, so divide 4,200 by 42,000.
3. That quotient is 0.10.
4. Convert to percent form: her salary decreased 10%.
5. In units: 4,200 dollars out of every 42,000 dollars is 10 dollars per 100 dollars.
6. Dividing by the new salary of 37,800 gives about 11%, the wrong-base trap.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 3 "Math Models", section 3.2 Solve Percent Applications_
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