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A shopkeeper earns prfit of 1rs by selling 1 pen and incurs a loss of 40 paise per pencile while selling of her old stock (i) in a particular month she incurs loss of 5rs. in this time period she sold 45 pens . how many pencils did she sell in this time period?
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A shopkeeper earns prfit of 1rs by selling 1 pen and incurs a loss of ...
Understanding the Problem
To solve the problem, we need to analyze the earnings and losses from selling pens and pencils. The shopkeeper's financial transactions can be summarized as follows:
- Profit on Selling Pens: The shopkeeper earns a profit of ₹1 for each pen sold.
- Loss on Selling Pencils: The shopkeeper incurs a loss of 40 paise (or ₹0.40) for each pencil sold.
Calculating Total Earnings from Pens
- The shopkeeper sold 45 pens in total.
- Total profit from selling pens = Number of pens sold × Profit per pen
Calculating Total Losses from Pencils
- The shopkeeper incurred a total loss of ₹5 during that month.
- Let the number of pencils sold be represented as "x".
- Total loss from selling pencils = Number of pencils sold × Loss per pencil
Setting Up the Equation
The shopkeeper’s overall profit and loss can be expressed in the following equation:
Simplifying the Equation
Now, we can solve for “x”:
Conclusion
The shopkeeper sold 125 pencils during that time period.
To solve the problem, we need to analyze the earnings and losses from selling pens and pencils. The shopkeeper's financial transactions can be summarized as follows:
- Profit on Selling Pens: The shopkeeper earns a profit of ₹1 for each pen sold.
- Loss on Selling Pencils: The shopkeeper incurs a loss of 40 paise (or ₹0.40) for each pencil sold.
Calculating Total Earnings from Pens
- The shopkeeper sold 45 pens in total.
- Total profit from selling pens = Number of pens sold × Profit per pen
- Total profit from pens = 45 pens × ₹1 = ₹45
Calculating Total Losses from Pencils
- The shopkeeper incurred a total loss of ₹5 during that month.
- Let the number of pencils sold be represented as "x".
- Total loss from selling pencils = Number of pencils sold × Loss per pencil
- Total loss from pencils = x × ₹0.40
Setting Up the Equation
The shopkeeper’s overall profit and loss can be expressed in the following equation:
- Total Profit from Pens - Total Loss from Pencils = Total Loss incurred
- ₹45 - (x × ₹0.40) = -₹5
Simplifying the Equation
Now, we can solve for “x”:
- ₹45 - (x × ₹0.40) = -₹5
- ₹45 + ₹5 = x × ₹0.40
- ₹50 = x × ₹0.40
- x = ₹50 / ₹0.40
- x = 125
Conclusion
The shopkeeper sold 125 pencils during that time period.
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A shopkeeper earns prfit of 1rs by selling 1 pen and incurs a loss of 40 paise per pencile while selling of her old stock (i) in a particular month she incurs loss of 5rs. in this time period she sold 45 pens . how many pencils did she sell in this time period?
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A shopkeeper earns prfit of 1rs by selling 1 pen and incurs a loss of 40 paise per pencile while selling of her old stock (i) in a particular month she incurs loss of 5rs. in this time period she sold 45 pens . how many pencils did she sell in this time period? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A shopkeeper earns prfit of 1rs by selling 1 pen and incurs a loss of 40 paise per pencile while selling of her old stock (i) in a particular month she incurs loss of 5rs. in this time period she sold 45 pens . how many pencils did she sell in this time period? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper earns prfit of 1rs by selling 1 pen and incurs a loss of 40 paise per pencile while selling of her old stock (i) in a particular month she incurs loss of 5rs. in this time period she sold 45 pens . how many pencils did she sell in this time period?.
A shopkeeper earns prfit of 1rs by selling 1 pen and incurs a loss of 40 paise per pencile while selling of her old stock (i) in a particular month she incurs loss of 5rs. in this time period she sold 45 pens . how many pencils did she sell in this time period? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A shopkeeper earns prfit of 1rs by selling 1 pen and incurs a loss of 40 paise per pencile while selling of her old stock (i) in a particular month she incurs loss of 5rs. in this time period she sold 45 pens . how many pencils did she sell in this time period? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper earns prfit of 1rs by selling 1 pen and incurs a loss of 40 paise per pencile while selling of her old stock (i) in a particular month she incurs loss of 5rs. in this time period she sold 45 pens . how many pencils did she sell in this time period?.
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