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A man sold 2 cameras for rupees 6000 each , gaining 20 % on one and losing 20 % on the other . Find his total gain or loss percentage?
Most Upvoted Answer
A man sold 2 cameras for rupees 6000 each , gaining 20 % on one and lo...
Given Information:
- The man sold 2 cameras.
- The selling price of each camera is 6000 rupees.
- He gained 20% on one camera.
- He lost 20% on the other camera.
Calculating the Cost Price:
Since we know the selling price and the percentage of gain/loss, we can calculate the cost price of each camera.
Camera 1:
- Selling Price = 6000 rupees
- Gain Percentage = 20%
The cost price of the first camera can be calculated using the formula:
Cost Price = Selling Price / (1 + Gain Percentage)
Substituting the given values into the formula:
Cost Price = 6000 / (1 + 20/100)
Cost Price = 6000 / 1.20
Cost Price = 5000 rupees
Camera 2:
- Selling Price = 6000 rupees
- Loss Percentage = 20%
The cost price of the second camera can be calculated using the formula:
Cost Price = Selling Price / (1 - Loss Percentage)
Substituting the given values into the formula:
Cost Price = 6000 / (1 - 20/100)
Cost Price = 6000 / 0.80
Cost Price = 7500 rupees
Calculating the Total Cost Price:
To find the total cost price, we add the cost price of both cameras.
Total Cost Price = Cost Price of Camera 1 + Cost Price of Camera 2
Total Cost Price = 5000 + 7500
Total Cost Price = 12500 rupees
Calculating the Total Selling Price:
The total selling price is the sum of the selling prices of both cameras.
Total Selling Price = Selling Price of Camera 1 + Selling Price of Camera 2
Total Selling Price = 6000 + 6000
Total Selling Price = 12000 rupees
Calculating the Total Gain/Loss:
To find the total gain/loss, we subtract the total cost price from the total selling price.
Total Gain/Loss = Total Selling Price - Total Cost Price
Total Gain/Loss = 12000 - 12500
Total Gain/Loss = -500 rupees
Calculating the Total Gain/Loss Percentage:
The total gain/loss percentage can be calculated using the formula:
Total Gain/Loss Percentage = (Total Gain/Loss / Total Cost Price) * 100
Substituting the given values into the formula:
Total Gain/Loss Percentage = (-500 / 12500) * 100
Total Gain/Loss Percentage = -4%
Conclusion:
The man incurred a total loss of 500 rupees, which represents a loss of 4% in terms of the total cost price of the cameras.
- The man sold 2 cameras.
- The selling price of each camera is 6000 rupees.
- He gained 20% on one camera.
- He lost 20% on the other camera.
Calculating the Cost Price:
Since we know the selling price and the percentage of gain/loss, we can calculate the cost price of each camera.
Camera 1:
- Selling Price = 6000 rupees
- Gain Percentage = 20%
The cost price of the first camera can be calculated using the formula:
Cost Price = Selling Price / (1 + Gain Percentage)
Substituting the given values into the formula:
Cost Price = 6000 / (1 + 20/100)
Cost Price = 6000 / 1.20
Cost Price = 5000 rupees
Camera 2:
- Selling Price = 6000 rupees
- Loss Percentage = 20%
The cost price of the second camera can be calculated using the formula:
Cost Price = Selling Price / (1 - Loss Percentage)
Substituting the given values into the formula:
Cost Price = 6000 / (1 - 20/100)
Cost Price = 6000 / 0.80
Cost Price = 7500 rupees
Calculating the Total Cost Price:
To find the total cost price, we add the cost price of both cameras.
Total Cost Price = Cost Price of Camera 1 + Cost Price of Camera 2
Total Cost Price = 5000 + 7500
Total Cost Price = 12500 rupees
Calculating the Total Selling Price:
The total selling price is the sum of the selling prices of both cameras.
Total Selling Price = Selling Price of Camera 1 + Selling Price of Camera 2
Total Selling Price = 6000 + 6000
Total Selling Price = 12000 rupees
Calculating the Total Gain/Loss:
To find the total gain/loss, we subtract the total cost price from the total selling price.
Total Gain/Loss = Total Selling Price - Total Cost Price
Total Gain/Loss = 12000 - 12500
Total Gain/Loss = -500 rupees
Calculating the Total Gain/Loss Percentage:
The total gain/loss percentage can be calculated using the formula:
Total Gain/Loss Percentage = (Total Gain/Loss / Total Cost Price) * 100
Substituting the given values into the formula:
Total Gain/Loss Percentage = (-500 / 12500) * 100
Total Gain/Loss Percentage = -4%
Conclusion:
The man incurred a total loss of 500 rupees, which represents a loss of 4% in terms of the total cost price of the cameras.
Community Answer
A man sold 2 cameras for rupees 6000 each , gaining 20 % on one and lo...
Dear the question is little inappropriate. Never it can be that we earn 20% more or less on 2 cameras in a question. We rather find the loss gain percentage or we are given loss/gain percentage and we find sp or cp.The percentage can be calculated if u say that he earned and lost 20 rupees on 2 cameras. Then indivivually we can find the percentage.As per the formulasGain%= Profit/cp*100=20/6000*100=1/3%Loss%=Loss/cp*100=20/6000*100=1/3%
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A man sold 2 cameras for rupees 6000 each , gaining 20 % on one and losing 20 % on the other . Find his total gain or loss percentage?
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A man sold 2 cameras for rupees 6000 each , gaining 20 % on one and losing 20 % on the other . Find his total gain or loss percentage? 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 man sold 2 cameras for rupees 6000 each , gaining 20 % on one and losing 20 % on the other . Find his total gain or loss percentage? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man sold 2 cameras for rupees 6000 each , gaining 20 % on one and losing 20 % on the other . Find his total gain or loss percentage?.
A man sold 2 cameras for rupees 6000 each , gaining 20 % on one and losing 20 % on the other . Find his total gain or loss percentage? 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 man sold 2 cameras for rupees 6000 each , gaining 20 % on one and losing 20 % on the other . Find his total gain or loss percentage? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man sold 2 cameras for rupees 6000 each , gaining 20 % on one and losing 20 % on the other . Find his total gain or loss percentage?.
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