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If an article sold a gain of 15% had it been sold for 27 more the profit have been 20% find cost price?
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If an article sold a gain of 15% had it been sold for 27 more the prof...
Understanding the Problem
To find the cost price of the article, we need to analyze the information given:
- The article has a selling price (SP) that yields a profit of 15%.
- If sold for 27 more, the profit increases to 20%.
Let’s Define Variables
- Let the cost price (CP) be denoted as "x".
Calculating Selling Prices
- The selling price for a 15% profit can be calculated as:
- SP1 = x + (15/100)x = 1.15x
- The selling price for a 20% profit would then be:
- SP2 = x + (20/100)x = 1.20x
Setting Up the Equation
Given that selling the article for 27 more results in a 20% profit, we can express this relationship mathematically:
- SP2 = SP1 + 27
Substituting the values we defined:
- 1.20x = 1.15x + 27
Simplifying the Equation
Now we simplify the equation:
- 1.20x - 1.15x = 27
- 0.05x = 27
Finding the Cost Price
To isolate "x":
- x = 27 / 0.05
- x = 540
Conclusion
The cost price of the article is 540.
This breakdown allows for a clear understanding of how the selling prices and profits relate to the cost price.
To find the cost price of the article, we need to analyze the information given:
- The article has a selling price (SP) that yields a profit of 15%.
- If sold for 27 more, the profit increases to 20%.
Let’s Define Variables
- Let the cost price (CP) be denoted as "x".
Calculating Selling Prices
- The selling price for a 15% profit can be calculated as:
- SP1 = x + (15/100)x = 1.15x
- The selling price for a 20% profit would then be:
- SP2 = x + (20/100)x = 1.20x
Setting Up the Equation
Given that selling the article for 27 more results in a 20% profit, we can express this relationship mathematically:
- SP2 = SP1 + 27
Substituting the values we defined:
- 1.20x = 1.15x + 27
Simplifying the Equation
Now we simplify the equation:
- 1.20x - 1.15x = 27
- 0.05x = 27
Finding the Cost Price
To isolate "x":
- x = 27 / 0.05
- x = 540
Conclusion
The cost price of the article is 540.
This breakdown allows for a clear understanding of how the selling prices and profits relate to the cost price.
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If an article sold a gain of 15% had it been sold for 27 more the profit have been 20% find cost price?
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If an article sold a gain of 15% had it been sold for 27 more the profit have been 20% find cost price? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If an article sold a gain of 15% had it been sold for 27 more the profit have been 20% find cost price? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If an article sold a gain of 15% had it been sold for 27 more the profit have been 20% find cost price?.
If an article sold a gain of 15% had it been sold for 27 more the profit have been 20% find cost price? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If an article sold a gain of 15% had it been sold for 27 more the profit have been 20% find cost price? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If an article sold a gain of 15% had it been sold for 27 more the profit have been 20% find cost price?.
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