Math Problem Statement

Jane wants to buy a computer that costs £1350. She earns £1500 a month and she saves £225 of her earnings each month. What percentage of her monthly salary does Jane save?

Solution

Let's break down the problem:

Jane earns £1500 a month and saves £225 each month. We are asked to find what percentage of her monthly salary she saves.

To calculate the percentage, use the formula:

Percentage saved=(Amount savedTotal earnings)×100\text{Percentage saved} = \left( \frac{\text{Amount saved}}{\text{Total earnings}} \right) \times 100

Substituting the given values:

Percentage saved=(2251500)×100=0.15×100=15%\text{Percentage saved} = \left( \frac{225}{1500} \right) \times 100 = 0.15 \times 100 = 15\%

So, Jane saves 15% of her monthly salary.

Would you like further explanation or clarification? Here are some related questions to explore:

  1. How would the percentage change if Jane saved more or less each month?
  2. What happens if Jane earns a different monthly salary, say £2000, and still saves £225?
  3. How long would it take Jane to save enough money to buy the computer?
  4. If Jane saves a higher percentage, how would this affect her ability to buy the computer?
  5. How would you calculate Jane’s savings if she saved a fixed amount but her salary fluctuated?

Tip: To calculate any percentage of a number, multiply the number by the percentage (in decimal form) and divide by 100.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Percentage
Proportions
Basic Arithmetic

Formulas

Percentage saved = (Amount saved / Total earnings) * 100

Theorems

-

Suitable Grade Level

Grades 7-9