Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Percentages
Ratios
Set Theory
Venn Diagrams
Profit and Loss Calculation

Formulas

Percentage = (Part/Whole) * 100
Gain Percentage = (Gain/Cost Price) * 100
Larger Ratio Share = (Ratio Part/Sum of Ratios) * Total Amount
Number of Subsets = 2^n

Theorems

Set Theory
Basic Arithmetic and Ratio
Venn Diagram Relations

Suitable Grade Level

Grades 8-10