Class 8 Exam > Class 8 Questions > A shopkeeper bought 10 sewing machines of a p...
Start Learning for Free
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.?
Most Upvoted Answer
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.
Attention Class 8 Students!
To make sure you are not studying endlessly, EduRev has designed Class 8 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 8.
|
Explore Courses for Class 8 exam
|
|
Similar Class 8 Doubts
Top Courses for Class 8View all
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.?
Question Description
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.?.
Solutions 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.? in English & in Hindi are available as part of our courses for Class 8.
Download more important topics, notes, lectures and mock test series for Class 8 Exam by signing up for free.
Here you can find the meaning of 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.? defined & explained in the simplest way possible. Besides giving the explanation of
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 detailed solution 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.? has been provided alongside types of 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.? theory, EduRev gives you an
ample number of questions to practice 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.? tests, examples and also practice Class 8 tests.
|
|
Explore Courses for Class 8 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup