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A trader bought 100 units of a product for $1200. If he sold 80 units at a loss of 15% and the remaining 20 units at a profit of 25%, find the overall profit or loss. Answer: There is a net loss of $36.?
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A trader bought 100 units of a product for $1200. If he sold 80 units ...
Given:
- Number of units bought = 100
- Cost of buying 100 units = $1200
- Number of units sold at a loss = 80
- Loss percentage = 15%
- Number of units sold at a profit = 20
- Profit percentage = 25%
To Find:
- Overall profit or loss
Solution:
1. Calculating the loss:
Loss percentage is 15%. This means the trader sold the 80 units at a price lower than the cost price by 15%.
Let's calculate the selling price of each unit:
Loss percentage = (Loss / Cost Price) * 100
15% = (Loss / Cost Price) * 100
Solving for Loss:
Loss = (15/100) * Cost Price
2. Calculating the profit:
Profit percentage is 25%. This means the trader sold the 20 units at a price higher than the cost price by 25%.
Let's calculate the selling price of each unit:
Profit percentage = (Profit / Cost Price) * 100
25% = (Profit / Cost Price) * 100
Solving for Profit:
Profit = (25/100) * Cost Price
3. Calculating the overall profit or loss:
The overall profit or loss can be calculated by subtracting the total cost from the total selling price.
Total Cost = Cost Price * Number of units bought
Total Selling Price = (Selling Price at Loss * Number of units sold at a loss) + (Selling Price at Profit * Number of units sold at a profit)
Calculating the selling price at a loss:
Selling Price at Loss = Cost Price - Loss
Substituting the values:
Selling Price at Loss = Cost Price - (15/100) * Cost Price
Calculating the selling price at a profit:
Selling Price at Profit = Cost Price + Profit
Substituting the values:
Selling Price at Profit = Cost Price + (25/100) * Cost Price
Now, let's calculate the overall profit or loss:
Overall Profit/Loss = Total Selling Price - Total Cost
Substituting the values:
Overall Profit/Loss = [(Selling Price at Loss * Number of units sold at a loss) + (Selling Price at Profit * Number of units sold at a profit)] - (Cost Price * Number of units bought)
Simplifying the equation further will give us the overall profit or loss.
Calculations:
Cost Price = $1200
Number of units bought = 100
Number of units sold at a loss = 80
Number of units sold at a profit = 20
Loss percentage = 15%
Profit percentage = 25%
Loss = (15/100) * 1200 = $180
Selling Price at Loss = 1200 - 180 = $1020
Profit = (25/100) * 1200 = $300
Selling Price at Profit = 1200 + 300 = $1500
Overall Profit/Loss = [(1020 * 80) + (1500 * 20)] - (1200 * 100)
Overall Profit/Loss = (81600 + 30000) - 120000
Overall Profit/Loss =
- Number of units bought = 100
- Cost of buying 100 units = $1200
- Number of units sold at a loss = 80
- Loss percentage = 15%
- Number of units sold at a profit = 20
- Profit percentage = 25%
To Find:
- Overall profit or loss
Solution:
1. Calculating the loss:
Loss percentage is 15%. This means the trader sold the 80 units at a price lower than the cost price by 15%.
Let's calculate the selling price of each unit:
Loss percentage = (Loss / Cost Price) * 100
15% = (Loss / Cost Price) * 100
Solving for Loss:
Loss = (15/100) * Cost Price
2. Calculating the profit:
Profit percentage is 25%. This means the trader sold the 20 units at a price higher than the cost price by 25%.
Let's calculate the selling price of each unit:
Profit percentage = (Profit / Cost Price) * 100
25% = (Profit / Cost Price) * 100
Solving for Profit:
Profit = (25/100) * Cost Price
3. Calculating the overall profit or loss:
The overall profit or loss can be calculated by subtracting the total cost from the total selling price.
Total Cost = Cost Price * Number of units bought
Total Selling Price = (Selling Price at Loss * Number of units sold at a loss) + (Selling Price at Profit * Number of units sold at a profit)
Calculating the selling price at a loss:
Selling Price at Loss = Cost Price - Loss
Substituting the values:
Selling Price at Loss = Cost Price - (15/100) * Cost Price
Calculating the selling price at a profit:
Selling Price at Profit = Cost Price + Profit
Substituting the values:
Selling Price at Profit = Cost Price + (25/100) * Cost Price
Now, let's calculate the overall profit or loss:
Overall Profit/Loss = Total Selling Price - Total Cost
Substituting the values:
Overall Profit/Loss = [(Selling Price at Loss * Number of units sold at a loss) + (Selling Price at Profit * Number of units sold at a profit)] - (Cost Price * Number of units bought)
Simplifying the equation further will give us the overall profit or loss.
Calculations:
Cost Price = $1200
Number of units bought = 100
Number of units sold at a loss = 80
Number of units sold at a profit = 20
Loss percentage = 15%
Profit percentage = 25%
Loss = (15/100) * 1200 = $180
Selling Price at Loss = 1200 - 180 = $1020
Profit = (25/100) * 1200 = $300
Selling Price at Profit = 1200 + 300 = $1500
Overall Profit/Loss = [(1020 * 80) + (1500 * 20)] - (1200 * 100)
Overall Profit/Loss = (81600 + 30000) - 120000
Overall Profit/Loss =
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A trader bought 100 units of a product for $1200. If he sold 80 units at a loss of 15% and the remaining 20 units at a profit of 25%, find the overall profit or loss. Answer: There is a net loss of $36.?
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A trader bought 100 units of a product for $1200. If he sold 80 units at a loss of 15% and the remaining 20 units at a profit of 25%, find the overall profit or loss. Answer: There is a net loss of $36.? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about A trader bought 100 units of a product for $1200. If he sold 80 units at a loss of 15% and the remaining 20 units at a profit of 25%, find the overall profit or loss. Answer: There is a net loss of $36.? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A trader bought 100 units of a product for $1200. If he sold 80 units at a loss of 15% and the remaining 20 units at a profit of 25%, find the overall profit or loss. Answer: There is a net loss of $36.?.
A trader bought 100 units of a product for $1200. If he sold 80 units at a loss of 15% and the remaining 20 units at a profit of 25%, find the overall profit or loss. Answer: There is a net loss of $36.? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about A trader bought 100 units of a product for $1200. If he sold 80 units at a loss of 15% and the remaining 20 units at a profit of 25%, find the overall profit or loss. Answer: There is a net loss of $36.? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A trader bought 100 units of a product for $1200. If he sold 80 units at a loss of 15% and the remaining 20 units at a profit of 25%, find the overall profit or loss. Answer: There is a net loss of $36.?.
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