Math Problem Statement
If A's salary is 15% more than B's, then what percent B's salary is less than A's?
Solution
Let's denote B's salary as and A's salary as .
Given that A's salary is 15% more than B's salary, we have:
Now, we want to find what percent B's salary is less than A's. To do this, we calculate the difference between A's and B's salaries and express it as a percentage of A's salary:
The percentage by which B's salary is less than A's is given by:
Substituting into the formula:
Thus, B's salary is approximately 13.04% less than A's salary.
Would you like more details on this calculation or have any further questions?
Here are 5 related questions for further practice:
- If B's salary is $50,000, what is A's salary?
- If A's salary is 20% more than B's, what percent is B's salary less than A's?
- If A's salary is $69,000 and it's 15% more than B's, what is B's salary?
- What is the percentage difference between A's and B's salaries if A's salary is 25% more than B's?
- If B's salary is 10% less than A's, by what percentage is A's salary more than B's?
Tip: When comparing percentages in both directions (A to B and B to A), the percentages will differ because the base (denominator) changes.
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Math Problem Analysis
Mathematical Concepts
Percentage
Arithmetic Operations
Formulas
Percentage change formula
Theorems
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Suitable Grade Level
Grades 7-9