Math Problem Statement
a person income is increased 15% this year and will be 30% higher next year. if last year salary was 100000, what will it be next year?
Solution
Let's solve the problem step by step:
- Last year's salary was $100,000.
- This year's salary increased by 15%, so this year's salary is:
- Next year, the salary will be 30% higher than this year's salary, so the next year's salary is:
Thus, the salary next year will be $149,500.
Would you like further details on the calculation, or have any other questions?
Here are 5 related questions for practice:
- What would the salary be after a 20% increase next year?
- If the salary increased by 10% instead of 15% this year, what would next year’s salary be?
- What would the salary be in two years if it continues to increase by 15% each year?
- If the salary decreased by 5% next year instead of increasing by 30%, what would it be?
- What is the overall percentage increase in salary from last year to next year?
Tip: When calculating successive percentage increases, always apply each increase one at a time, multiplying the new salary by the respective percentage.
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Math Problem Analysis
Mathematical Concepts
Percentage Increase
Compound Percentage
Basic Arithmetic
Formulas
Current year's salary = Last year's salary × (1 + Percentage Increase This Year)
Next year's salary = This year's salary × (1 + Percentage Increase Next Year)
Theorems
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Suitable Grade Level
Grades 6-8
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