Math Problem Statement
If Purchases were 45% of sales and other expenses were 45% of sales, what would be the increase in profit if, through better purchasing, the cost of purchases was reduced to 43% of sales?
Solution
To calculate the increase in profit, we need to compare the initial situation (with purchases at 45% of sales) and the new situation (with purchases reduced to 43% of sales). Here’s the breakdown of the problem:
Initial Situation:
- Purchases = 45% of sales
- Other expenses = 45% of sales
- Total costs = Purchases + Other expenses = 45% + 45% = 90% of sales
- Profit (before the reduction) = Sales - Total costs = 100% - 90% = 10% of sales
New Situation:
- Purchases are now reduced to 43% of sales
- Other expenses remain 45% of sales
- New total costs = 43% + 45% = 88% of sales
- New profit = 100% - 88% = 12% of sales
Increase in Profit:
The initial profit was 10% of sales, and the new profit is 12% of sales. Therefore, the increase in profit is:
So, the profit will increase by 2% of sales due to the reduction in purchase costs.
Would you like more details on this calculation or further clarification?
Here are some related questions:
- How does a decrease in expenses impact the profit margin?
- What other strategies could further increase profit margins?
- How do fixed and variable costs differ in their impact on profit?
- How could this same approach apply to managing "other expenses"?
- What is the importance of understanding percentage changes in business financials?
Tip: Always track and analyze your expense percentages regularly to find areas where cost-saving measures can improve profitability.
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Math Problem Analysis
Mathematical Concepts
Percentage Calculation
Profit Margin
Cost Reduction
Formulas
Profit = Sales - (Purchases + Other Expenses)
Increase in Profit = New Profit - Old Profit
Theorems
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Suitable Grade Level
Grades 9-11
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