Math Problem Statement

Ivy currently earns £3150 per month. If she receives an 18.5% pay increase, how much will she earn per month?

Solution

To calculate Ivy's new salary after an 18.5% pay increase, follow these steps:

  1. Find the amount of the pay increase: Pay increase=18.5100×3150=0.185×3150=582.75\text{Pay increase} = \frac{18.5}{100} \times 3150 = 0.185 \times 3150 = 582.75
  2. Add the pay increase to Ivy’s current salary: New salary=3150+582.75=3732.75\text{New salary} = 3150 + 582.75 = 3732.75

So, after the 18.5% increase, Ivy will earn £3732.75 per month.

Would you like a detailed explanation of any steps, or do you have further questions on this topic?

Here are some related questions:

  1. How do you calculate a percentage increase or decrease in general?
  2. What would be the new salary if the pay increase was 10% instead of 18.5%?
  3. How can you calculate the total salary after multiple percentage increases?
  4. What’s the difference between a percentage increase and a flat increase?
  5. How do you calculate the percentage of an amount?

Tip: When calculating percentage increases or decreases, always convert the percentage to a decimal before multiplying by the original amount.

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Math Problem Analysis

Mathematical Concepts

Percentage Increase
Arithmetic Calculations
Basic Algebra

Formulas

Pay increase = (Percentage / 100) * Current salary
New salary = Current salary + Pay increase

Theorems

Percentage Increase Theorem

Suitable Grade Level

Grades 6-8