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A trader marks his goods 30% above the cost price but makes a reduction of 25/4 on the marked price for ready money. What is his gain percent?
- a)23.75
- b)23.25
- c)21.875
- d)20
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A trader marks his goods 30% above the cost price but makes a reductio...
Gain % = (SP − CP)/CP
Let cost price be Rs. 100.
Let cost price be Rs. 100.
The MP is Rs. 130.
After discount of 6 1/4 %
the SP is Rs. 130(93.75/100)
= Rs. 121.875
Gain% = [(121.875 - 100)/100]*100
= 21.875
After discount of 6 1/4 %
the SP is Rs. 130(93.75/100)
= Rs. 121.875
Gain% = [(121.875 - 100)/100]*100
= 21.875
Most Upvoted Answer
A trader marks his goods 30% above the cost price but makes a reductio...
Let cost price = x
initial marked price = cost price + 30% of cost price
= X + 30%X = 130 % X
Final marked price = initial marked price - 25/4% of initial marked price
= 130%X - 25/4 % of 130 % X = 121.875 %
Therefore gain percentage = (121.875 - 100)% = 21.875%
initial marked price = cost price + 30% of cost price
= X + 30%X = 130 % X
Final marked price = initial marked price - 25/4% of initial marked price
= 130%X - 25/4 % of 130 % X = 121.875 %
Therefore gain percentage = (121.875 - 100)% = 21.875%
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Community Answer
A trader marks his goods 30% above the cost price but makes a reductio...
Understanding the Problem
To determine the gain percent of the trader, we need to analyze the cost price, marked price, and selling price after the discount.
Step 1: Define the Variables
- Let the Cost Price (CP) = 100 (for simplicity)
- Marked Price (MP) = CP + 30% of CP
MP = 100 + 30 = 130
Step 2: Calculate the Selling Price
- The trader offers a reduction of 25/4 on the marked price.
- First, convert 25/4 into a decimal:
25/4 = 6.25
- Therefore, Selling Price (SP) = MP - Reduction
SP = 130 - 6.25 = 123.75
Step 3: Calculate Gain
- Gain = Selling Price - Cost Price
Gain = 123.75 - 100 = 23.75
Step 4: Calculate Gain Percent
- Gain Percent = (Gain / Cost Price) * 100
Gain Percent = (23.75 / 100) * 100 = 23.75%
Conclusion
The trader's gain percent is 23.75%, which corresponds to the option c) 21.875. However, it appears there was an initial misinterpretation of the question, and the correct gain percent is indeed 23.75%.
This example illustrates the importance of carefully calculating each step to derive accurate results in percentage gain scenarios.
To determine the gain percent of the trader, we need to analyze the cost price, marked price, and selling price after the discount.
Step 1: Define the Variables
- Let the Cost Price (CP) = 100 (for simplicity)
- Marked Price (MP) = CP + 30% of CP
MP = 100 + 30 = 130
Step 2: Calculate the Selling Price
- The trader offers a reduction of 25/4 on the marked price.
- First, convert 25/4 into a decimal:
25/4 = 6.25
- Therefore, Selling Price (SP) = MP - Reduction
SP = 130 - 6.25 = 123.75
Step 3: Calculate Gain
- Gain = Selling Price - Cost Price
Gain = 123.75 - 100 = 23.75
Step 4: Calculate Gain Percent
- Gain Percent = (Gain / Cost Price) * 100
Gain Percent = (23.75 / 100) * 100 = 23.75%
Conclusion
The trader's gain percent is 23.75%, which corresponds to the option c) 21.875. However, it appears there was an initial misinterpretation of the question, and the correct gain percent is indeed 23.75%.
This example illustrates the importance of carefully calculating each step to derive accurate results in percentage gain scenarios.
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A trader marks his goods 30% above the cost price but makes a reduction of 25/4on the marked price for ready money. What is his gain percent?a)23.75b)23.25c)21.875d)20Correct answer is option 'C'. Can you explain this answer? for Class 8 2025 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A trader marks his goods 30% above the cost price but makes a reduction of 25/4on the marked price for ready money. What is his gain percent?a)23.75b)23.25c)21.875d)20Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 8 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A trader marks his goods 30% above the cost price but makes a reduction of 25/4on the marked price for ready money. What is his gain percent?a)23.75b)23.25c)21.875d)20Correct answer is option 'C'. Can you explain this answer?.
A trader marks his goods 30% above the cost price but makes a reduction of 25/4on the marked price for ready money. What is his gain percent?a)23.75b)23.25c)21.875d)20Correct answer is option 'C'. Can you explain this answer? for Class 8 2025 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A trader marks his goods 30% above the cost price but makes a reduction of 25/4on the marked price for ready money. What is his gain percent?a)23.75b)23.25c)21.875d)20Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 8 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A trader marks his goods 30% above the cost price but makes a reduction of 25/4on the marked price for ready money. What is his gain percent?a)23.75b)23.25c)21.875d)20Correct answer is option 'C'. Can you explain this answer?.
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