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A shopkeeper earns a profit of ₹5 by selling a pen and suffers a loss of ₹3 by selling a book. One day, he sold 12 pens and 10 books. What was his profit or loss on that day?
Most Upvoted Answer
A shopkeeper earns a profit of ₹5 by selling a pen and suffers a loss ...
Solution:
Given, profit earned on selling a pen = ₹5
Loss suffered on selling a book = ₹3
Now, let's calculate the cost price of one pen and one book.
Let the cost price of one pen be x.
Selling price of one pen will be x + 5 (as he earned a profit of ₹5 on selling one pen).
Therefore, (x + 5) - x = 5
=> x = ₹5
Similarly, let the cost price of one book be y.
Selling price of one book will be y - 3 (as he suffered a loss of ₹3 on selling one book).
Therefore, y - (y - 3) = 3
=> y = ₹6
Now, let's calculate the total cost price and total selling price of 12 pens and 10 books.
Total cost price = (12 x ₹5) + (10 x ₹6) = ₹60 + ₹60 = ₹120
Total selling price = (12 x (₹5 + 5)) + (10 x (₹6 - 3)) = ₹120 + ₹30 = ₹150
Profit/Loss = Total Selling Price - Total Cost Price = ₹150 - ₹120 = ₹30
Therefore, the shopkeeper earned a profit of ₹30 on that day.
Explanation:
The given problem involves calculating the profit or loss earned by a shopkeeper on selling pens and books. We are given the profit earned on selling a pen and the loss suffered on selling a book. Using this information, we can calculate the cost price of one pen and one book. Using the cost price, we can calculate the total cost price and total selling price of the pens and books sold on that day. Finally, we can calculate the profit or loss earned by the shopkeeper by subtracting the total cost price from the total selling price. In this case, the shopkeeper earned a profit of ₹30 on that day.
Given, profit earned on selling a pen = ₹5
Loss suffered on selling a book = ₹3
Now, let's calculate the cost price of one pen and one book.
Let the cost price of one pen be x.
Selling price of one pen will be x + 5 (as he earned a profit of ₹5 on selling one pen).
Therefore, (x + 5) - x = 5
=> x = ₹5
Similarly, let the cost price of one book be y.
Selling price of one book will be y - 3 (as he suffered a loss of ₹3 on selling one book).
Therefore, y - (y - 3) = 3
=> y = ₹6
Now, let's calculate the total cost price and total selling price of 12 pens and 10 books.
Total cost price = (12 x ₹5) + (10 x ₹6) = ₹60 + ₹60 = ₹120
Total selling price = (12 x (₹5 + 5)) + (10 x (₹6 - 3)) = ₹120 + ₹30 = ₹150
Profit/Loss = Total Selling Price - Total Cost Price = ₹150 - ₹120 = ₹30
Therefore, the shopkeeper earned a profit of ₹30 on that day.
Explanation:
The given problem involves calculating the profit or loss earned by a shopkeeper on selling pens and books. We are given the profit earned on selling a pen and the loss suffered on selling a book. Using this information, we can calculate the cost price of one pen and one book. Using the cost price, we can calculate the total cost price and total selling price of the pens and books sold on that day. Finally, we can calculate the profit or loss earned by the shopkeeper by subtracting the total cost price from the total selling price. In this case, the shopkeeper earned a profit of ₹30 on that day.
Community Answer
A shopkeeper earns a profit of ₹5 by selling a pen and suffers a loss ...
On selling 1 pen, the shopkeeper earns a profit of ₹5
so, on selling 12pens, his profit=₹(5X12) =₹60.
On selling 1book, the shopkeeper suffers a loss of ₹3, which we denote as -₹3
So, selling 10 books, his loss =₹(3X10)=30, which we denote as -₹30.
thus on selling 12 pens and 10 books his total earning =₹(60-30) =₹30
Since, the shopkeeper &s earning is in positive value, he makes a profit.
Thus, the amount of the profit is ₹30.
so, on selling 12pens, his profit=₹(5X12) =₹60.
On selling 1book, the shopkeeper suffers a loss of ₹3, which we denote as -₹3
So, selling 10 books, his loss =₹(3X10)=30, which we denote as -₹30.
thus on selling 12 pens and 10 books his total earning =₹(60-30) =₹30
Since, the shopkeeper &s earning is in positive value, he makes a profit.
Thus, the amount of the profit is ₹30.
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A shopkeeper earns a profit of ₹5 by selling a pen and suffers a loss of ₹3 by selling a book. One day, he sold 12 pens and 10 books. What was his profit or loss on that day?
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A shopkeeper earns a profit of ₹5 by selling a pen and suffers a loss of ₹3 by selling a book. One day, he sold 12 pens and 10 books. What was his profit or loss on that day? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A shopkeeper earns a profit of ₹5 by selling a pen and suffers a loss of ₹3 by selling a book. One day, he sold 12 pens and 10 books. What was his profit or loss on that day? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper earns a profit of ₹5 by selling a pen and suffers a loss of ₹3 by selling a book. One day, he sold 12 pens and 10 books. What was his profit or loss on that day?.
A shopkeeper earns a profit of ₹5 by selling a pen and suffers a loss of ₹3 by selling a book. One day, he sold 12 pens and 10 books. What was his profit or loss on that day? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A shopkeeper earns a profit of ₹5 by selling a pen and suffers a loss of ₹3 by selling a book. One day, he sold 12 pens and 10 books. What was his profit or loss on that day? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper earns a profit of ₹5 by selling a pen and suffers a loss of ₹3 by selling a book. One day, he sold 12 pens and 10 books. What was his profit or loss on that day?.
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