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The cost price of 8 books is equal to the selling price of 6 books. Find the gain percent. explain?
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The cost price of 8 books is equal to the selling price of 6 books. Fi...
Understanding the Problem
The cost price (CP) of 8 books is equal to the selling price (SP) of 6 books. We need to find the gain percent based on this information.
Step 1: Establishing Cost Price and Selling Price
- Let the cost price of one book be CP.
- Therefore, the cost price of 8 books = 8 * CP = 8CP.
- Let the selling price of one book be SP.
- Hence, the selling price of 6 books = 6 * SP = 6SP.
According to the problem, we have:
8CP = 6SP
Step 2: Finding Selling Price in Terms of Cost Price
To find SP in terms of CP, we can rearrange the equation:
- 6SP = 8CP
- SP = (8/6)CP
- SP = (4/3)CP
This means that the selling price of one book is 4/3 times the cost price.
Step 3: Calculating Gain
The gain can be calculated as:
- Gain = SP - CP
- Gain = (4/3)CP - CP
- Gain = (4/3)CP - (3/3)CP
- Gain = (1/3)CP
Step 4: Calculating Gain Percent
Gain percent is calculated using the formula:
- Gain Percent = (Gain / CP) * 100%
Substituting the values:
- Gain Percent = ((1/3)CP / CP) * 100%
- Gain Percent = (1/3) * 100%
- Gain Percent = 33.33%
Conclusion
The gain percent in this scenario is 33.33%. This means that the seller makes a profit of 33.33% on each book sold.
The cost price (CP) of 8 books is equal to the selling price (SP) of 6 books. We need to find the gain percent based on this information.
Step 1: Establishing Cost Price and Selling Price
- Let the cost price of one book be CP.
- Therefore, the cost price of 8 books = 8 * CP = 8CP.
- Let the selling price of one book be SP.
- Hence, the selling price of 6 books = 6 * SP = 6SP.
According to the problem, we have:
8CP = 6SP
Step 2: Finding Selling Price in Terms of Cost Price
To find SP in terms of CP, we can rearrange the equation:
- 6SP = 8CP
- SP = (8/6)CP
- SP = (4/3)CP
This means that the selling price of one book is 4/3 times the cost price.
Step 3: Calculating Gain
The gain can be calculated as:
- Gain = SP - CP
- Gain = (4/3)CP - CP
- Gain = (4/3)CP - (3/3)CP
- Gain = (1/3)CP
Step 4: Calculating Gain Percent
Gain percent is calculated using the formula:
- Gain Percent = (Gain / CP) * 100%
Substituting the values:
- Gain Percent = ((1/3)CP / CP) * 100%
- Gain Percent = (1/3) * 100%
- Gain Percent = 33.33%
Conclusion
The gain percent in this scenario is 33.33%. This means that the seller makes a profit of 33.33% on each book sold.
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The cost price of 8 books is equal to the selling price of 6 books. Find the gain percent. explain?
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The cost price of 8 books is equal to the selling price of 6 books. Find the gain percent. explain? 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 The cost price of 8 books is equal to the selling price of 6 books. Find the gain percent. explain? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The cost price of 8 books is equal to the selling price of 6 books. Find the gain percent. explain?.
The cost price of 8 books is equal to the selling price of 6 books. Find the gain percent. explain? 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 The cost price of 8 books is equal to the selling price of 6 books. Find the gain percent. explain? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The cost price of 8 books is equal to the selling price of 6 books. Find the gain percent. explain?.
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