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A farmer bought 100 hens for 4000 sells 20 of them at a gain of 5 percent at what gain should he sell the remaining hens to get a gain of 20 percent on the whole?
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A farmer bought 100 hens for 4000 sells 20 of them at a gain of 5 perc...
Understanding the Problem
The farmer has purchased 100 hens for 4000. He wants to achieve a total gain of 20% after selling all the hens. Here’s how we can determine the required gain on the remaining hens after selling 20 of them at a gain of 5%.
Step 1: Calculate the Total Cost Price
- Total cost for 100 hens = 4000
Step 2: Calculate the Total Selling Price for 20 Hens
- Selling price of 20 hens at 5% gain:
- Cost price of 20 hens = (20/100) * 4000 = 800
- Gain = 5% of 800 = 40
- Selling price = Cost price + Gain = 800 + 40 = 840
Step 3: Calculate the Desired Total Selling Price
- To achieve a 20% gain on the total cost:
- Total desired selling price = Cost price + 20% gain = 4000 + (20/100 * 4000) = 4800
Step 4: Calculate the Selling Price Needed for Remaining Hens
- Selling price needed from the remaining 80 hens:
- Selling price from 20 hens = 840
- Required selling price for remaining hens = Total desired selling price - Selling price from 20 hens
- Required selling price for remaining hens = 4800 - 840 = 3960
Step 5: Calculate the Required Gain Percentage for Remaining Hens
- Cost price of remaining 80 hens = (80/100) * 4000 = 3200
- Required gain = Selling price - Cost price = 3960 - 3200 = 760
- Gain percentage = (Gain / Cost Price) * 100 = (760 / 3200) * 100 = 23.75%
Conclusion
To achieve a total gain of 20%, the farmer should sell the remaining 80 hens at a gain of approximately 23.75%.
The farmer has purchased 100 hens for 4000. He wants to achieve a total gain of 20% after selling all the hens. Here’s how we can determine the required gain on the remaining hens after selling 20 of them at a gain of 5%.
Step 1: Calculate the Total Cost Price
- Total cost for 100 hens = 4000
Step 2: Calculate the Total Selling Price for 20 Hens
- Selling price of 20 hens at 5% gain:
- Cost price of 20 hens = (20/100) * 4000 = 800
- Gain = 5% of 800 = 40
- Selling price = Cost price + Gain = 800 + 40 = 840
Step 3: Calculate the Desired Total Selling Price
- To achieve a 20% gain on the total cost:
- Total desired selling price = Cost price + 20% gain = 4000 + (20/100 * 4000) = 4800
Step 4: Calculate the Selling Price Needed for Remaining Hens
- Selling price needed from the remaining 80 hens:
- Selling price from 20 hens = 840
- Required selling price for remaining hens = Total desired selling price - Selling price from 20 hens
- Required selling price for remaining hens = 4800 - 840 = 3960
Step 5: Calculate the Required Gain Percentage for Remaining Hens
- Cost price of remaining 80 hens = (80/100) * 4000 = 3200
- Required gain = Selling price - Cost price = 3960 - 3200 = 760
- Gain percentage = (Gain / Cost Price) * 100 = (760 / 3200) * 100 = 23.75%
Conclusion
To achieve a total gain of 20%, the farmer should sell the remaining 80 hens at a gain of approximately 23.75%.
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A farmer bought 100 hens for 4000 sells 20 of them at a gain of 5 percent at what gain should he sell the remaining hens to get a gain of 20 percent on the whole?
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A farmer bought 100 hens for 4000 sells 20 of them at a gain of 5 percent at what gain should he sell the remaining hens to get a gain of 20 percent on the whole? 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 farmer bought 100 hens for 4000 sells 20 of them at a gain of 5 percent at what gain should he sell the remaining hens to get a gain of 20 percent on the whole? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A farmer bought 100 hens for 4000 sells 20 of them at a gain of 5 percent at what gain should he sell the remaining hens to get a gain of 20 percent on the whole?.
A farmer bought 100 hens for 4000 sells 20 of them at a gain of 5 percent at what gain should he sell the remaining hens to get a gain of 20 percent on the whole? 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 farmer bought 100 hens for 4000 sells 20 of them at a gain of 5 percent at what gain should he sell the remaining hens to get a gain of 20 percent on the whole? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A farmer bought 100 hens for 4000 sells 20 of them at a gain of 5 percent at what gain should he sell the remaining hens to get a gain of 20 percent on the whole?.
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