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Solve the following question and mark the best possible option.
A shopkeeper bought 4 pens for Rs. 1250 each and sold them at an overall profit of 25%. If he sold two of the pens at a profit of 65% and a loss of 23% respectively, which of the following cannot be the percentage profit (%P) and / or percentage loss (%L) that the other two pens were sold for?
- a)80%P, 22%L
- b)40%P, 18%P
- c)54%P, 12%L
- d)78%P, 20%L
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Solve the following question and mark the best possible option.A shopk...
Suppose each pen is bought for Rs. 100.
The total cost is Rs. 400.
Since the pens are sold at an overall profit of 25%, the total selling price must be Rs. 500, i.e., the overall profit is Rs. 100.
One pen is sold at a profit of Rs. 65 and one is sold at a loss of Rs. 23. So, these 2 pens are sold at an effective profit of Rs. 42.
So, the remaining 2 pens must be sold for an effective profit of Rs. 58.
Since all answer choices except option 3 add up to 58, the other 2 pens cannot be sold at a 54%P and 12% loss respectively.
Most Upvoted Answer
Solve the following question and mark the best possible option.A shopk...
Problem Statement:
A shopkeeper bought 4 pens for Rs. 1250 each and sold them at an overall profit of 25%. If he sold two of the pens at a profit of 65% and a loss of 23% respectively, which of the following cannot be the percentage profit (%P) and / or percentage loss (%L) that the other two pens were sold for?
Options:
a) 80%P, 22%L
b) 40%P, 18%P
c) 54%P, 12%L
d) 78%P, 20%L
Solution:
Let the cost price of each pen be Rs. x.
Total cost price of 4 pens = 4x
Given, the shopkeeper sold all 4 pens at an overall profit of 25%.
Selling price of 4 pens = 4x + 0.25(4x) = 5x
Profit made on 4 pens = Selling price - Cost price = 5x - 4x = x
We know that two pens were sold at a profit of 65% and a loss of 23%.
Let the selling price of the pen sold at a profit of 65% be y.
Then, the selling price of the pen sold at a loss of 23% = y - 0.23y = 0.77y
Total selling price of these two pens = y + 0.77y = 1.77y
Profit made on these two pens = 1.77y - 2x
We need to find out which of the given options cannot be the percentage profit (%P) and / or percentage loss (%L) that the other two pens were sold for.
Let the percentage profit and loss on the other two pens be P and L respectively.
Selling price of these two pens = 2x + Px/100 * 2x/2 - Lx/100 * 2x/2
= 2x(1 + P/100 - L/100)
Profit made on these two pens = 2x(1 + P/100 - L/100) - 2x
= 2x(P/100 - L/100)
Now, we can substitute the given options for P and L and check if the resulting profit matches with the profit we calculated earlier.
a) P = 80, L = 22
Profit = 2x(0.8 - 0.22) = 1.16x
This option is possible.
b) P = 40, L = 18
Profit = 2x(0.4 - 0.18) = 0.44x
This option is possible.
c) P = 54, L = 12
Profit = 2x(0.54 - 0.12) = 0.84x
This option is not possible as the profit made on the other two pens should be greater than x, which is the profit made on all 4 pens.
d) P = 78, L = 20
Profit = 2x(0.78 - 0.2) = 1.16x
This option is possible.
Therefore, option (c) is the correct answer as it cannot be the percentage profit (%P) and / or
A shopkeeper bought 4 pens for Rs. 1250 each and sold them at an overall profit of 25%. If he sold two of the pens at a profit of 65% and a loss of 23% respectively, which of the following cannot be the percentage profit (%P) and / or percentage loss (%L) that the other two pens were sold for?
Options:
a) 80%P, 22%L
b) 40%P, 18%P
c) 54%P, 12%L
d) 78%P, 20%L
Solution:
Let the cost price of each pen be Rs. x.
Total cost price of 4 pens = 4x
Given, the shopkeeper sold all 4 pens at an overall profit of 25%.
Selling price of 4 pens = 4x + 0.25(4x) = 5x
Profit made on 4 pens = Selling price - Cost price = 5x - 4x = x
We know that two pens were sold at a profit of 65% and a loss of 23%.
Let the selling price of the pen sold at a profit of 65% be y.
Then, the selling price of the pen sold at a loss of 23% = y - 0.23y = 0.77y
Total selling price of these two pens = y + 0.77y = 1.77y
Profit made on these two pens = 1.77y - 2x
We need to find out which of the given options cannot be the percentage profit (%P) and / or percentage loss (%L) that the other two pens were sold for.
Let the percentage profit and loss on the other two pens be P and L respectively.
Selling price of these two pens = 2x + Px/100 * 2x/2 - Lx/100 * 2x/2
= 2x(1 + P/100 - L/100)
Profit made on these two pens = 2x(1 + P/100 - L/100) - 2x
= 2x(P/100 - L/100)
Now, we can substitute the given options for P and L and check if the resulting profit matches with the profit we calculated earlier.
a) P = 80, L = 22
Profit = 2x(0.8 - 0.22) = 1.16x
This option is possible.
b) P = 40, L = 18
Profit = 2x(0.4 - 0.18) = 0.44x
This option is possible.
c) P = 54, L = 12
Profit = 2x(0.54 - 0.12) = 0.84x
This option is not possible as the profit made on the other two pens should be greater than x, which is the profit made on all 4 pens.
d) P = 78, L = 20
Profit = 2x(0.78 - 0.2) = 1.16x
This option is possible.
Therefore, option (c) is the correct answer as it cannot be the percentage profit (%P) and / or
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Solve the following question and mark the best possible option.A shopkeeper bought 4 pens for Rs. 1250 each and sold them at an overall profit of 25%. If he sold two of the pens at a profit of 65% and a loss of 23% respectively, which of the following cannot be the percentage profit (%P) and / or percentage loss (%L) that the other two pens were sold for?a)80%P, 22%L b)40%P, 18%P c)54%P, 12%L d)78%P, 20%LCorrect answer is option 'C'. Can you explain this answer?
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Solve the following question and mark the best possible option.A shopkeeper bought 4 pens for Rs. 1250 each and sold them at an overall profit of 25%. If he sold two of the pens at a profit of 65% and a loss of 23% respectively, which of the following cannot be the percentage profit (%P) and / or percentage loss (%L) that the other two pens were sold for?a)80%P, 22%L b)40%P, 18%P c)54%P, 12%L d)78%P, 20%LCorrect answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Solve the following question and mark the best possible option.A shopkeeper bought 4 pens for Rs. 1250 each and sold them at an overall profit of 25%. If he sold two of the pens at a profit of 65% and a loss of 23% respectively, which of the following cannot be the percentage profit (%P) and / or percentage loss (%L) that the other two pens were sold for?a)80%P, 22%L b)40%P, 18%P c)54%P, 12%L d)78%P, 20%LCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve the following question and mark the best possible option.A shopkeeper bought 4 pens for Rs. 1250 each and sold them at an overall profit of 25%. If he sold two of the pens at a profit of 65% and a loss of 23% respectively, which of the following cannot be the percentage profit (%P) and / or percentage loss (%L) that the other two pens were sold for?a)80%P, 22%L b)40%P, 18%P c)54%P, 12%L d)78%P, 20%LCorrect answer is option 'C'. Can you explain this answer?.
Solve the following question and mark the best possible option.A shopkeeper bought 4 pens for Rs. 1250 each and sold them at an overall profit of 25%. If he sold two of the pens at a profit of 65% and a loss of 23% respectively, which of the following cannot be the percentage profit (%P) and / or percentage loss (%L) that the other two pens were sold for?a)80%P, 22%L b)40%P, 18%P c)54%P, 12%L d)78%P, 20%LCorrect answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Solve the following question and mark the best possible option.A shopkeeper bought 4 pens for Rs. 1250 each and sold them at an overall profit of 25%. If he sold two of the pens at a profit of 65% and a loss of 23% respectively, which of the following cannot be the percentage profit (%P) and / or percentage loss (%L) that the other two pens were sold for?a)80%P, 22%L b)40%P, 18%P c)54%P, 12%L d)78%P, 20%LCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve the following question and mark the best possible option.A shopkeeper bought 4 pens for Rs. 1250 each and sold them at an overall profit of 25%. If he sold two of the pens at a profit of 65% and a loss of 23% respectively, which of the following cannot be the percentage profit (%P) and / or percentage loss (%L) that the other two pens were sold for?a)80%P, 22%L b)40%P, 18%P c)54%P, 12%L d)78%P, 20%LCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Solve the following question and mark the best possible option.A shopkeeper bought 4 pens for Rs. 1250 each and sold them at an overall profit of 25%. If he sold two of the pens at a profit of 65% and a loss of 23% respectively, which of the following cannot be the percentage profit (%P) and / or percentage loss (%L) that the other two pens were sold for?a)80%P, 22%L b)40%P, 18%P c)54%P, 12%L d)78%P, 20%LCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Solve the following question and mark the best possible option.A shopkeeper bought 4 pens for Rs. 1250 each and sold them at an overall profit of 25%. If he sold two of the pens at a profit of 65% and a loss of 23% respectively, which of the following cannot be the percentage profit (%P) and / or percentage loss (%L) that the other two pens were sold for?a)80%P, 22%L b)40%P, 18%P c)54%P, 12%L d)78%P, 20%LCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Solve the following question and mark the best possible option.A shopkeeper bought 4 pens for Rs. 1250 each and sold them at an overall profit of 25%. If he sold two of the pens at a profit of 65% and a loss of 23% respectively, which of the following cannot be the percentage profit (%P) and / or percentage loss (%L) that the other two pens were sold for?a)80%P, 22%L b)40%P, 18%P c)54%P, 12%L d)78%P, 20%LCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Solve the following question and mark the best possible option.A shopkeeper bought 4 pens for Rs. 1250 each and sold them at an overall profit of 25%. If he sold two of the pens at a profit of 65% and a loss of 23% respectively, which of the following cannot be the percentage profit (%P) and / or percentage loss (%L) that the other two pens were sold for?a)80%P, 22%L b)40%P, 18%P c)54%P, 12%L d)78%P, 20%LCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Solve the following question and mark the best possible option.A shopkeeper bought 4 pens for Rs. 1250 each and sold them at an overall profit of 25%. If he sold two of the pens at a profit of 65% and a loss of 23% respectively, which of the following cannot be the percentage profit (%P) and / or percentage loss (%L) that the other two pens were sold for?a)80%P, 22%L b)40%P, 18%P c)54%P, 12%L d)78%P, 20%LCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
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