Math Problem Statement

after a decrease of 22%, James salary was $1100. what was his original salary

Solution

To find James's original salary before the decrease, you can use the following steps:

  1. Let the original salary be SS.
  2. James's salary was decreased by 22%, so he now receives 78% of his original salary (since 100%22%=78%100\% - 22\% = 78\%).
  3. Set up the equation: 0.78×S=11000.78 \times S = 1100
  4. Solve for SS: S=11000.781410.26S = \frac{1100}{0.78} \approx 1410.26

So, James's original salary was approximately $1,410.26.

Would you like a detailed explanation or have any questions?

Here are some related questions:

  1. How would you calculate the original salary if the decrease was 15%?
  2. What is the formula to find the original value after a percentage decrease?
  3. How would the calculation change if the salary after the decrease was $950?
  4. What would be the salary after a 10% decrease from the original salary of $1,410.26?
  5. How can you determine the percentage decrease if the original salary and the decreased salary are known?

Tip: When working with percentage decreases, remember to subtract the percentage decrease from 100% to determine the remaining percentage of the original value.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Percentage
Arithmetic Operations

Formulas

Percentage decrease formula

Theorems

-

Suitable Grade Level

Grades 7-9