A merchant buys 20 books at 4,000 each, sells 75% at 6,000,…

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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