Math Problem Statement
A is 25% more than B and B is 40% less than C. if C is 20% more than D than A is what percentage less than D ?
Solution
We are given the relationships:
-
is 25% more than , so:
-
is 40% less than , so:
-
is 20% more than , so:
Step-by-step Calculation:
Express in Terms of :
- Substitute in :
- Substitute :
Find Percentage Difference:
We need to find how much less is compared to , calculated as:
[ \frac{D
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Math Problem Analysis
Mathematical Concepts
Percentage Increase and Decrease
Algebra
Formulas
A = 1.25B
B = 0.6C
C = 1.2D
Percentage Difference Formula: ((D - A) / D) * 100
Theorems
Percentage Change Theorem
Suitable Grade Level
Grades 9-11
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