If A's salary is 15% more than B's, then what percent B's salary is less than A's?

Let's denote B's salary as $ B $ and A's salary as $ A $.

Given that A's salary is 15% more than B's salary, we have:
\[
A = B + 0.15B = 1.15B
\]

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:

\[
\text{Difference} = A - B = 1.15B - B = 0.15B
\]

The percentage by which B's salary is less than A's is given by:
\[
\text{Percentage} = \left(\frac{0.15B}{A}\right) \times 100
\]

Substituting $ A = 1.15B $ into the formula:
\[
\text{Percentage} = \left(\frac{0.15B}{1.15B}\right) \times 100 = \left(\frac{0.15}{1.15}\right) \times 100 \approx 13.04\%
\]

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:

1. If B's salary is $50,000, what is A's salary?
2. If A's salary is 20% more than B's, what percent is B's salary less than A's?
3. If A's salary is $69,000 and it's 15% more than B's, what is B's salary?
4. What is the percentage difference between A's and B's salaries if A's salary is 25% more than B's?
5. 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.

Learn how to calculate the percentage difference between two salaries, where A's salary is 15% more than B's. Understand the formula and steps involved in finding what percent B's salary is less than A's. Suitable for Grades 7-9 students and anyone interested in percentage calculations.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation