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By selling a cricket bat for Rs 570 a shopkeeper loses 5%. For how much
should he sell the cricket bat to gain 5%.?
should he sell the cricket bat to gain 5%.?
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By selling a cricket bat for Rs 570 a shopkeeper loses 5%. For how muc...
Understanding the Problem
The shopkeeper sells a cricket bat for Rs 570 and incurs a loss of 5%. To calculate the cost price (CP) of the bat, we first need to understand the relationship between selling price (SP), cost price, and loss percentage.
Calculating Cost Price (CP)
The formula to find the cost price when there is a loss is:
Given:
- Selling Price (SP) = Rs 570
- Loss Percentage = 5% = 0.05
Substituting the values into the formula:
Calculating Selling Price for a Gain
Now, to find the selling price at which the shopkeeper should sell the cricket bat to gain 5%, we use a similar formula:
Where:
- Gain Percentage = 5% = 0.05
Substituting the cost price we calculated:
Conclusion
To gain a profit of 5% on the cricket bat, the shopkeeper should sell it for:
This calculation ensures the shopkeeper achieves his desired profit margin while effectively managing his costs.
The shopkeeper sells a cricket bat for Rs 570 and incurs a loss of 5%. To calculate the cost price (CP) of the bat, we first need to understand the relationship between selling price (SP), cost price, and loss percentage.
Calculating Cost Price (CP)
The formula to find the cost price when there is a loss is:
CP = SP / (1 - Loss Percentage)
Given:
- Selling Price (SP) = Rs 570
- Loss Percentage = 5% = 0.05
Substituting the values into the formula:
CP = 570 / (1 - 0.05) = 570 / 0.95 = Rs 600
Calculating Selling Price for a Gain
Now, to find the selling price at which the shopkeeper should sell the cricket bat to gain 5%, we use a similar formula:
SP = CP × (1 + Gain Percentage)
Where:
- Gain Percentage = 5% = 0.05
Substituting the cost price we calculated:
SP = 600 × (1 + 0.05) = 600 × 1.05 = Rs 630
Conclusion
To gain a profit of 5% on the cricket bat, the shopkeeper should sell it for:
Rs 630
This calculation ensures the shopkeeper achieves his desired profit margin while effectively managing his costs.
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By selling a cricket bat for Rs 570 a shopkeeper loses 5%. For how much should he sell the cricket bat to gain 5%.?
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By selling a cricket bat for Rs 570 a shopkeeper loses 5%. For how much should he sell the cricket bat to gain 5%.? 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 By selling a cricket bat for Rs 570 a shopkeeper loses 5%. For how much should he sell the cricket bat to gain 5%.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for By selling a cricket bat for Rs 570 a shopkeeper loses 5%. For how much should he sell the cricket bat to gain 5%.?.
By selling a cricket bat for Rs 570 a shopkeeper loses 5%. For how much should he sell the cricket bat to gain 5%.? 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 By selling a cricket bat for Rs 570 a shopkeeper loses 5%. For how much should he sell the cricket bat to gain 5%.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for By selling a cricket bat for Rs 570 a shopkeeper loses 5%. For how much should he sell the cricket bat to gain 5%.?.
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