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Mukesh purchased 10 bicycles in 2017, all at the same price. He sold six of these at a profit of 25% and the remaining four at a loss of 25%. If he made a total profit of Rs. 2000, then his purchase price of a bicycle, in Rupees, was
  • a)
    6000
  • b)
    8000
  • c)
    4000
  • d)
    2000
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Mukesh purchased 10 bicycles in 2017, all at the same price. He sold ...
Let the cost of each bicycle= 100b
CP of 10 bicycles = 1000b
It is given that he sold six of these at a profit of 25% and the remaining four at a loss of 25%
SP of 10 bicycles = 125b*6+75b*4
=1050b
Profit = 1050b-1000b =50b
50b=2000
CP = 100b = 4000
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Most Upvoted Answer
Mukesh purchased 10 bicycles in 2017, all at the same price. He sold ...
To solve this problem, let's break it down into smaller steps:

Step 1: Calculate the profit made on the first six bicycles.
- Mukesh sold six bicycles at a profit of 25%.
- This means he sold each bicycle for 125% of its purchase price.
- Let's assume the purchase price of each bicycle is 'x'.
- Therefore, the selling price of each bicycle is 1.25x.
- The total profit made on these six bicycles can be calculated as follows:
Profit = Selling Price - Cost Price
Profit = (1.25x - x) * 6
Profit = 0.25x * 6
Profit = 1.5x

Step 2: Calculate the loss made on the remaining four bicycles.
- Mukesh sold four bicycles at a loss of 25%.
- This means he sold each bicycle for 75% of its purchase price.
- Therefore, the selling price of each bicycle is 0.75x.
- The total loss made on these four bicycles can be calculated as follows:
Loss = Cost Price - Selling Price
Loss = (x - 0.75x) * 4
Loss = 0.25x * 4
Loss = x

Step 3: Calculate the total profit made.
- The total profit made is given as Rs. 2000.
- This profit is the sum of the profit made on the first six bicycles and the loss made on the remaining four bicycles.
- Therefore, we can set up the following equation:
1.5x - x = 2000
0.5x = 2000
x = 2000 / 0.5
x = 4000

Therefore, the purchase price of each bicycle is Rs. 4000. Hence, the correct answer is option C.
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Mukesh purchased 10 bicycles in 2017, all at the same price. He sold six of these at a profit of 25% and the remaining four at a loss of 25%. If he made a total profit of Rs. 2000, then his purchase price of a bicycle, in Rupees, wasa) 6000b) 8000c) 4000d) 2000Correct answer is option 'C'. Can you explain this answer?
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Mukesh purchased 10 bicycles in 2017, all at the same price. He sold six of these at a profit of 25% and the remaining four at a loss of 25%. If he made a total profit of Rs. 2000, then his purchase price of a bicycle, in Rupees, wasa) 6000b) 8000c) 4000d) 2000Correct 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 Mukesh purchased 10 bicycles in 2017, all at the same price. He sold six of these at a profit of 25% and the remaining four at a loss of 25%. If he made a total profit of Rs. 2000, then his purchase price of a bicycle, in Rupees, wasa) 6000b) 8000c) 4000d) 2000Correct 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 Mukesh purchased 10 bicycles in 2017, all at the same price. He sold six of these at a profit of 25% and the remaining four at a loss of 25%. If he made a total profit of Rs. 2000, then his purchase price of a bicycle, in Rupees, wasa) 6000b) 8000c) 4000d) 2000Correct answer is option 'C'. Can you explain this answer?.
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