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A shopkeeper marks up his goods by 100%. One day during the Dussehra Sale, he gave a discount of 40% to all customers who visited his shop in the morning slot and a discount of 20% to all the customers who visited his shop in the evening slot. All the goods in his shop were of the same type and had the same cost price. Let x be the number of goods sold during the morning slot and y be the number of goods sold during the evening slot, which of the following represents possible values of x and y, in order to have at least 50% profit?
- a)x=100, y=200
- b)x=150, y=350
- c)x=350, y =1200
- d)x=200, y=500
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A shopkeeper marks up his goods by 100%. One day during the Dussehra S...
Let p be the cost price CP of each item.
Hence, marked price MP = p + p = 2p
Selling price SP of items in the morning slot = 
Selling price SP of the items in the evening slot = 
Since the minimum profit should be 50% for all items,
Hence, y should be greater than or equal to 3 times x. Only option C satisfies the condition.
Community Answer
A shopkeeper marks up his goods by 100%. One day during the Dussehra S...
To find the possible values of x and y, let's break down the problem into smaller steps and calculate the cost price, selling price, and profit for each slot separately.
1. Morning Slot:
In the morning slot, the shopkeeper gave a discount of 40%. This means that the selling price of the goods during the morning slot is 60% of the marked price.
Let's assume the cost price of each good is $100.
- Selling price during the morning slot = 60% of the marked price = 60% of ($100 + $100) = $120
- Profit during the morning slot = Selling price - Cost price = $120 - $100 = $20
- Profit percentage during the morning slot = (Profit / Cost price) * 100 = ($20 / $100) * 100 = 20%
2. Evening Slot:
In the evening slot, the shopkeeper gave a discount of 20%. This means that the selling price of the goods during the evening slot is 80% of the marked price.
Using the same assumption of a cost price of $100:
- Selling price during the evening slot = 80% of the marked price = 80% of ($100 + $100) = $160
- Profit during the evening slot = Selling price - Cost price = $160 - $100 = $60
- Profit percentage during the evening slot = (Profit / Cost price) * 100 = ($60 / $100) * 100 = 60%
3. At least 50% Profit:
To have at least 50% profit, the profit percentage should be greater than or equal to 50%. From the calculations above, we can see that the profit percentage during the morning slot is 20% and during the evening slot is 60%.
- Morning slot profit percentage = 20% (less than 50%)
- Evening slot profit percentage = 60% (greater than 50%)
Therefore, the only possible combination to have at least 50% profit is when:
- x (number of goods sold during the morning slot) is a small number (to have a lower profit percentage)
- y (number of goods sold during the evening slot) is a large number (to have a higher profit percentage)
Among the given options, option C (x = 350, y = 1200) satisfies this condition.
1. Morning Slot:
In the morning slot, the shopkeeper gave a discount of 40%. This means that the selling price of the goods during the morning slot is 60% of the marked price.
Let's assume the cost price of each good is $100.
- Selling price during the morning slot = 60% of the marked price = 60% of ($100 + $100) = $120
- Profit during the morning slot = Selling price - Cost price = $120 - $100 = $20
- Profit percentage during the morning slot = (Profit / Cost price) * 100 = ($20 / $100) * 100 = 20%
2. Evening Slot:
In the evening slot, the shopkeeper gave a discount of 20%. This means that the selling price of the goods during the evening slot is 80% of the marked price.
Using the same assumption of a cost price of $100:
- Selling price during the evening slot = 80% of the marked price = 80% of ($100 + $100) = $160
- Profit during the evening slot = Selling price - Cost price = $160 - $100 = $60
- Profit percentage during the evening slot = (Profit / Cost price) * 100 = ($60 / $100) * 100 = 60%
3. At least 50% Profit:
To have at least 50% profit, the profit percentage should be greater than or equal to 50%. From the calculations above, we can see that the profit percentage during the morning slot is 20% and during the evening slot is 60%.
- Morning slot profit percentage = 20% (less than 50%)
- Evening slot profit percentage = 60% (greater than 50%)
Therefore, the only possible combination to have at least 50% profit is when:
- x (number of goods sold during the morning slot) is a small number (to have a lower profit percentage)
- y (number of goods sold during the evening slot) is a large number (to have a higher profit percentage)
Among the given options, option C (x = 350, y = 1200) satisfies this condition.
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A shopkeeper marks up his goods by 100%. One day during the Dussehra Sale, he gave a discount of 40% to all customers who visited his shop in the morning slot and a discount of 20% to all the customers who visited his shop in the evening slot. All the goods in his shop were of the same type and had the same cost price. Let x be the number of goods sold during the morning slot and y be the number of goods sold during the evening slot, which of the following represents possible values of x and y, in order to have at least 50% profit?a)x=100, y=200b)x=150, y=350c)x=350, y =1200d)x=200, y=500Correct answer is option 'C'. Can you explain this answer?
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A shopkeeper marks up his goods by 100%. One day during the Dussehra Sale, he gave a discount of 40% to all customers who visited his shop in the morning slot and a discount of 20% to all the customers who visited his shop in the evening slot. All the goods in his shop were of the same type and had the same cost price. Let x be the number of goods sold during the morning slot and y be the number of goods sold during the evening slot, which of the following represents possible values of x and y, in order to have at least 50% profit?a)x=100, y=200b)x=150, y=350c)x=350, y =1200d)x=200, y=500Correct answer is option 'C'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A shopkeeper marks up his goods by 100%. One day during the Dussehra Sale, he gave a discount of 40% to all customers who visited his shop in the morning slot and a discount of 20% to all the customers who visited his shop in the evening slot. All the goods in his shop were of the same type and had the same cost price. Let x be the number of goods sold during the morning slot and y be the number of goods sold during the evening slot, which of the following represents possible values of x and y, in order to have at least 50% profit?a)x=100, y=200b)x=150, y=350c)x=350, y =1200d)x=200, y=500Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper marks up his goods by 100%. One day during the Dussehra Sale, he gave a discount of 40% to all customers who visited his shop in the morning slot and a discount of 20% to all the customers who visited his shop in the evening slot. All the goods in his shop were of the same type and had the same cost price. Let x be the number of goods sold during the morning slot and y be the number of goods sold during the evening slot, which of the following represents possible values of x and y, in order to have at least 50% profit?a)x=100, y=200b)x=150, y=350c)x=350, y =1200d)x=200, y=500Correct answer is option 'C'. Can you explain this answer?.
A shopkeeper marks up his goods by 100%. One day during the Dussehra Sale, he gave a discount of 40% to all customers who visited his shop in the morning slot and a discount of 20% to all the customers who visited his shop in the evening slot. All the goods in his shop were of the same type and had the same cost price. Let x be the number of goods sold during the morning slot and y be the number of goods sold during the evening slot, which of the following represents possible values of x and y, in order to have at least 50% profit?a)x=100, y=200b)x=150, y=350c)x=350, y =1200d)x=200, y=500Correct answer is option 'C'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A shopkeeper marks up his goods by 100%. One day during the Dussehra Sale, he gave a discount of 40% to all customers who visited his shop in the morning slot and a discount of 20% to all the customers who visited his shop in the evening slot. All the goods in his shop were of the same type and had the same cost price. Let x be the number of goods sold during the morning slot and y be the number of goods sold during the evening slot, which of the following represents possible values of x and y, in order to have at least 50% profit?a)x=100, y=200b)x=150, y=350c)x=350, y =1200d)x=200, y=500Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper marks up his goods by 100%. One day during the Dussehra Sale, he gave a discount of 40% to all customers who visited his shop in the morning slot and a discount of 20% to all the customers who visited his shop in the evening slot. All the goods in his shop were of the same type and had the same cost price. Let x be the number of goods sold during the morning slot and y be the number of goods sold during the evening slot, which of the following represents possible values of x and y, in order to have at least 50% profit?a)x=100, y=200b)x=150, y=350c)x=350, y =1200d)x=200, y=500Correct answer is option 'C'. Can you explain this answer?.
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A shopkeeper marks up his goods by 100%. One day during the Dussehra Sale, he gave a discount of 40% to all customers who visited his shop in the morning slot and a discount of 20% to all the customers who visited his shop in the evening slot. All the goods in his shop were of the same type and had the same cost price. Let x be the number of goods sold during the morning slot and y be the number of goods sold during the evening slot, which of the following represents possible values of x and y, in order to have at least 50% profit?a)x=100, y=200b)x=150, y=350c)x=350, y =1200d)x=200, y=500Correct answer is option 'C'. Can you explain this answer?, a detailed solution for A shopkeeper marks up his goods by 100%. One day during the Dussehra Sale, he gave a discount of 40% to all customers who visited his shop in the morning slot and a discount of 20% to all the customers who visited his shop in the evening slot. All the goods in his shop were of the same type and had the same cost price. Let x be the number of goods sold during the morning slot and y be the number of goods sold during the evening slot, which of the following represents possible values of x and y, in order to have at least 50% profit?a)x=100, y=200b)x=150, y=350c)x=350, y =1200d)x=200, y=500Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of A shopkeeper marks up his goods by 100%. One day during the Dussehra Sale, he gave a discount of 40% to all customers who visited his shop in the morning slot and a discount of 20% to all the customers who visited his shop in the evening slot. All the goods in his shop were of the same type and had the same cost price. Let x be the number of goods sold during the morning slot and y be the number of goods sold during the evening slot, which of the following represents possible values of x and y, in order to have at least 50% profit?a)x=100, y=200b)x=150, y=350c)x=350, y =1200d)x=200, y=500Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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