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A shopkeeper bought 10 sewing machines of a particular type for ₹800 each and sold them at a profit equal to the selling of three machines .Find the selling price of one sewing machine.?
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A shopkeeper bought 10 sewing machines of a particular type for ₹800 e...
Cost Price of Sewing Machines
The shopkeeper purchased 10 sewing machines at a cost price of ₹800 each.
- Total cost price = Number of machines × Cost price per machine
- Total cost price = 10 × ₹800 = ₹8000
Understanding the Profit
The shopkeeper sold the machines with a profit that equaled the selling price of three machines.
- Let the selling price of one machine be ₹x.
- Therefore, selling price of three machines = 3x.
Calculating Total Selling Price
The total selling price for the 10 machines can be expressed as:
- Total selling price = Selling price of one machine × Number of machines
- Total selling price = 10 × ₹x = ₹10x.
Setting Up the Equation
The profit can be defined as:
- Profit = Total selling price - Total cost price
- Profit = ₹10x - ₹8000.
According to the problem, the profit is equal to the selling price of three machines:
- ₹10x - ₹8000 = 3x.
Simplifying the Equation
Now, let's solve for x:
- ₹10x - 3x = ₹8000
- ₹7x = ₹8000
- x = ₹8000 / 7
- x = ₹1142.86 (approximately).
Conclusion
Thus, the selling price of one sewing machine is approximately:
- ₹1142.86.
This means the shopkeeper made a profit by selling each machine at this price.
The shopkeeper purchased 10 sewing machines at a cost price of ₹800 each.
- Total cost price = Number of machines × Cost price per machine
- Total cost price = 10 × ₹800 = ₹8000
Understanding the Profit
The shopkeeper sold the machines with a profit that equaled the selling price of three machines.
- Let the selling price of one machine be ₹x.
- Therefore, selling price of three machines = 3x.
Calculating Total Selling Price
The total selling price for the 10 machines can be expressed as:
- Total selling price = Selling price of one machine × Number of machines
- Total selling price = 10 × ₹x = ₹10x.
Setting Up the Equation
The profit can be defined as:
- Profit = Total selling price - Total cost price
- Profit = ₹10x - ₹8000.
According to the problem, the profit is equal to the selling price of three machines:
- ₹10x - ₹8000 = 3x.
Simplifying the Equation
Now, let's solve for x:
- ₹10x - 3x = ₹8000
- ₹7x = ₹8000
- x = ₹8000 / 7
- x = ₹1142.86 (approximately).
Conclusion
Thus, the selling price of one sewing machine is approximately:
- ₹1142.86.
This means the shopkeeper made a profit by selling each machine at this price.
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A shopkeeper bought 10 sewing machines of a particular type for ₹800 each and sold them at a profit equal to the selling of three machines .Find the selling price of one sewing machine.?
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A shopkeeper bought 10 sewing machines of a particular type for ₹800 each and sold them at a profit equal to the selling of three machines .Find the selling price of one sewing machine.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A shopkeeper bought 10 sewing machines of a particular type for ₹800 each and sold them at a profit equal to the selling of three machines .Find the selling price of one sewing machine.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper bought 10 sewing machines of a particular type for ₹800 each and sold them at a profit equal to the selling of three machines .Find the selling price of one sewing machine.?.
A shopkeeper bought 10 sewing machines of a particular type for ₹800 each and sold them at a profit equal to the selling of three machines .Find the selling price of one sewing machine.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A shopkeeper bought 10 sewing machines of a particular type for ₹800 each and sold them at a profit equal to the selling of three machines .Find the selling price of one sewing machine.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper bought 10 sewing machines of a particular type for ₹800 each and sold them at a profit equal to the selling of three machines .Find the selling price of one sewing machine.?.
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