Purpose of the problem
This problem asks for the profit, which means:
Profit = Total revenue Total cost
So, we need to find two main things:
The total cost (capital)
The total revenue from sales
Step 1: Calculate the total cost
Total cost = number of books buying price per book
Number of books = 20
Buying price per book = 4,000
Calculation:
20 4,000 = 80,000
Total cost = Rp80,000
Step 2: Calculate 75% of the books sold
75% means 75 out of 100, or 0.75
Calculation:
0.75 20 = 15 books
Books sold at the first price = 15 books
Step 3: Calculate revenue from the first sale
Selling price = 6,000
Calculation:
15 6,000 = 90,000
Revenue from the first sale = Rp90,000
Step 4: Calculate the remaining books
Total books = 20
Books sold = 15
Calculation:
20 15 = 5 books
Remaining books = 5 books
Step 5: Calculate revenue from the remaining books
Selling price = 5,000
Calculation:
5 5,000 = 25,000
Revenue from the second sale = Rp25,000
Step 6: Calculate total revenue
Revenue from first sale = 90,000
Revenue from second sale = 25,000
Calculation:
90,000 + 25,000 = 115,000
Total revenue = Rp115,000
Step 7: Calculate the profit
Profit formula:
Profit = Revenue Cost
Calculation:
115,000 80,000 = 35,000
Final Conclusion
The merchants total profit is Rp35,000.
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