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A mobile phone and sold at a profit of 6% and 870 more than when it is sold at a loss of 6% find the cost price of the mobile phone?
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A mobile phone and sold at a profit of 6% and 870 more than when it is...
Understanding the Problem
To find the cost price of the mobile phone, we need to analyze the profit and loss percentages given in the problem. The phone is sold at a profit of 6% and at a loss of 6%. The difference in selling prices when sold at these two percentages is 870.
Setting Up the Equations
1. Let the cost price (CP) of the mobile phone be 'x'.
2. Selling price at 6% profit:
- SP (profit) = CP + Profit
- SP (profit) = x + 0.06x = 1.06x
3. Selling price at 6% loss:
- SP (loss) = CP - Loss
- SP (loss) = x - 0.06x = 0.94x
Finding the Difference
- According to the problem, the difference between the selling prices is 870:
1.06x - 0.94x = 870
Calculating the Cost Price
- Simplifying the equation:
0.12x = 870
- Now, to find the cost price (x):
x = 870 / 0.12
x = 7250
Conclusion
The cost price of the mobile phone is 7250. This answer can be verified by calculating both selling prices and ensuring that their difference equals 870.
To find the cost price of the mobile phone, we need to analyze the profit and loss percentages given in the problem. The phone is sold at a profit of 6% and at a loss of 6%. The difference in selling prices when sold at these two percentages is 870.
Setting Up the Equations
1. Let the cost price (CP) of the mobile phone be 'x'.
2. Selling price at 6% profit:
- SP (profit) = CP + Profit
- SP (profit) = x + 0.06x = 1.06x
3. Selling price at 6% loss:
- SP (loss) = CP - Loss
- SP (loss) = x - 0.06x = 0.94x
Finding the Difference
- According to the problem, the difference between the selling prices is 870:
1.06x - 0.94x = 870
Calculating the Cost Price
- Simplifying the equation:
0.12x = 870
- Now, to find the cost price (x):
x = 870 / 0.12
x = 7250
Conclusion
The cost price of the mobile phone is 7250. This answer can be verified by calculating both selling prices and ensuring that their difference equals 870.
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A mobile phone and sold at a profit of 6% and 870 more than when it is sold at a loss of 6% find the cost price of the mobile phone?
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A mobile phone and sold at a profit of 6% and 870 more than when it is sold at a loss of 6% find the cost price of the mobile phone? 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 mobile phone and sold at a profit of 6% and 870 more than when it is sold at a loss of 6% find the cost price of the mobile phone? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A mobile phone and sold at a profit of 6% and 870 more than when it is sold at a loss of 6% find the cost price of the mobile phone?.
A mobile phone and sold at a profit of 6% and 870 more than when it is sold at a loss of 6% find the cost price of the mobile phone? 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 mobile phone and sold at a profit of 6% and 870 more than when it is sold at a loss of 6% find the cost price of the mobile phone? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A mobile phone and sold at a profit of 6% and 870 more than when it is sold at a loss of 6% find the cost price of the mobile phone?.
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