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A shopkeeper allows is customers 10% of only mark the price of goods and get the profit of 25% what is the actual cost to him of an article marked 250?
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A shopkeeper allows is customers 10% of only mark the price of goods a...
Understanding the Marked Price
To find the actual cost of an article marked at 250, we first need to understand the relationship between the marked price, the selling price, and the cost price.
Marked Price (MP)
- The marked price of the article is given as 250.
Discount Offered
- The shopkeeper offers a discount of 10% on the marked price.
- Discount = 10% of 250 = 0.10 × 250 = 25.
Selling Price (SP)
- Selling Price = Marked Price - Discount
- SP = 250 - 25 = 225.
Profit Percentage
- The profit percentage is given as 25%.
- This means the selling price is 125% of the cost price (CP).
Calculating the Cost Price
- Let the cost price be denoted as CP.
- According to the profit formula: SP = CP + Profit.
- Since profit = 25% of CP, we can express this as follows:
- SP = CP + (0.25 × CP) = 1.25 × CP.
Substituting for Selling Price
- We know the Selling Price (SP) is 225.
- So, 225 = 1.25 × CP.
Finding the Actual Cost Price
- To find CP, rearrange the equation:
- CP = 225 / 1.25
- CP = 180.
Conclusion
- The actual cost to the shopkeeper for the article marked at 250 is 180.
To find the actual cost of an article marked at 250, we first need to understand the relationship between the marked price, the selling price, and the cost price.
Marked Price (MP)
- The marked price of the article is given as 250.
Discount Offered
- The shopkeeper offers a discount of 10% on the marked price.
- Discount = 10% of 250 = 0.10 × 250 = 25.
Selling Price (SP)
- Selling Price = Marked Price - Discount
- SP = 250 - 25 = 225.
Profit Percentage
- The profit percentage is given as 25%.
- This means the selling price is 125% of the cost price (CP).
Calculating the Cost Price
- Let the cost price be denoted as CP.
- According to the profit formula: SP = CP + Profit.
- Since profit = 25% of CP, we can express this as follows:
- SP = CP + (0.25 × CP) = 1.25 × CP.
Substituting for Selling Price
- We know the Selling Price (SP) is 225.
- So, 225 = 1.25 × CP.
Finding the Actual Cost Price
- To find CP, rearrange the equation:
- CP = 225 / 1.25
- CP = 180.
Conclusion
- The actual cost to the shopkeeper for the article marked at 250 is 180.
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A shopkeeper allows is customers 10% of only mark the price of goods and get the profit of 25% what is the actual cost to him of an article marked 250?
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A shopkeeper allows is customers 10% of only mark the price of goods and get the profit of 25% what is the actual cost to him of an article marked 250? 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 allows is customers 10% of only mark the price of goods and get the profit of 25% what is the actual cost to him of an article marked 250? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper allows is customers 10% of only mark the price of goods and get the profit of 25% what is the actual cost to him of an article marked 250?.
A shopkeeper allows is customers 10% of only mark the price of goods and get the profit of 25% what is the actual cost to him of an article marked 250? 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 allows is customers 10% of only mark the price of goods and get the profit of 25% what is the actual cost to him of an article marked 250? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper allows is customers 10% of only mark the price of goods and get the profit of 25% what is the actual cost to him of an article marked 250?.
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