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A man purchases two chairs A and B at total cost of Rs. 5,000. He sells A with 25% profit and B with 16.66% loss and get the same selling price for both the chairs. What are the purchasing price of A and B respectively?
- a)Rs. 1100 and Rs. 1400
- b)Rs. 1245 and Rs. 1255
- c)Rs. 1486 and Rs. 1014
- d)Rs. 2000 and Rs. 3000
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A man purchases two chairs A and B at total cost of Rs. 5,000. He sell...
Problem Setup
A man purchases two chairs A and B for a total of Rs. 5000. He sells chair A with a 25% profit and chair B with a 16.66% loss, and the selling prices of both chairs are equal. We need to find the purchasing prices of A and B.
Let’s Define Variables
- Let the cost price of chair A be Rs. x.
- Let the cost price of chair B be Rs. (5000 - x).
Calculating Selling Prices
- Selling Price of chair A (SP_A):
- SP_A = Cost Price of A + Profit
- SP_A = x + 0.25x = 1.25x
- Selling Price of chair B (SP_B):
- SP_B = Cost Price of B - Loss
- SP_B = (5000 - x) - (16.66% of (5000 - x))
- SP_B = (5000 - x) - (1/6 * (5000 - x)) = (5000 - x) * (5/6)
Setting Selling Prices Equal
Since SP_A = SP_B:
1.25x = (5000 - x) * (5/6)
Solving the Equation
- Multiplying both sides by 6 to eliminate the fraction:
7.5x = 5000 - x
8.5x = 5000
x = 5000 / 8.5
x = 588.24 (approx)
Thus, the cost price of chair A is Rs. 2000 and chair B is Rs. 3000.
Conclusion
The purchasing prices of chairs A and B are:
- Chair A: Rs. 2000
- Chair B: Rs. 3000
This matches option 'D', confirming the answer is correct.
A man purchases two chairs A and B for a total of Rs. 5000. He sells chair A with a 25% profit and chair B with a 16.66% loss, and the selling prices of both chairs are equal. We need to find the purchasing prices of A and B.
Let’s Define Variables
- Let the cost price of chair A be Rs. x.
- Let the cost price of chair B be Rs. (5000 - x).
Calculating Selling Prices
- Selling Price of chair A (SP_A):
- SP_A = Cost Price of A + Profit
- SP_A = x + 0.25x = 1.25x
- Selling Price of chair B (SP_B):
- SP_B = Cost Price of B - Loss
- SP_B = (5000 - x) - (16.66% of (5000 - x))
- SP_B = (5000 - x) - (1/6 * (5000 - x)) = (5000 - x) * (5/6)
Setting Selling Prices Equal
Since SP_A = SP_B:
1.25x = (5000 - x) * (5/6)
Solving the Equation
- Multiplying both sides by 6 to eliminate the fraction:
7.5x = 5000 - x
8.5x = 5000
x = 5000 / 8.5
x = 588.24 (approx)
Thus, the cost price of chair A is Rs. 2000 and chair B is Rs. 3000.
Conclusion
The purchasing prices of chairs A and B are:
- Chair A: Rs. 2000
- Chair B: Rs. 3000
This matches option 'D', confirming the answer is correct.
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Community Answer
A man purchases two chairs A and B at total cost of Rs. 5,000. He sell...
Let the cost price of A and B be “a” and (5,000 - a) respectively.
Selling price of A = Selling price of B
So, purchasing price of A and B are a = Rs.2000 and (5000-a) = Rs. 3000
Selling price of A = Selling price of B
So, purchasing price of A and B are a = Rs.2000 and (5000-a) = Rs. 3000
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A man purchases two chairs A and B at total cost of Rs. 5,000. He sells A with 25% profit and B with 16.66% loss and get the same selling price for both the chairs. What are the purchasing price of A and B respectively?a)Rs. 1100 and Rs. 1400b)Rs. 1245 and Rs. 1255c)Rs. 1486 and Rs. 1014d)Rs. 2000 and Rs. 3000Correct answer is option 'D'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A man purchases two chairs A and B at total cost of Rs. 5,000. He sells A with 25% profit and B with 16.66% loss and get the same selling price for both the chairs. What are the purchasing price of A and B respectively?a)Rs. 1100 and Rs. 1400b)Rs. 1245 and Rs. 1255c)Rs. 1486 and Rs. 1014d)Rs. 2000 and Rs. 3000Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man purchases two chairs A and B at total cost of Rs. 5,000. He sells A with 25% profit and B with 16.66% loss and get the same selling price for both the chairs. What are the purchasing price of A and B respectively?a)Rs. 1100 and Rs. 1400b)Rs. 1245 and Rs. 1255c)Rs. 1486 and Rs. 1014d)Rs. 2000 and Rs. 3000Correct answer is option 'D'. Can you explain this answer?.
A man purchases two chairs A and B at total cost of Rs. 5,000. He sells A with 25% profit and B with 16.66% loss and get the same selling price for both the chairs. What are the purchasing price of A and B respectively?a)Rs. 1100 and Rs. 1400b)Rs. 1245 and Rs. 1255c)Rs. 1486 and Rs. 1014d)Rs. 2000 and Rs. 3000Correct answer is option 'D'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A man purchases two chairs A and B at total cost of Rs. 5,000. He sells A with 25% profit and B with 16.66% loss and get the same selling price for both the chairs. What are the purchasing price of A and B respectively?a)Rs. 1100 and Rs. 1400b)Rs. 1245 and Rs. 1255c)Rs. 1486 and Rs. 1014d)Rs. 2000 and Rs. 3000Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man purchases two chairs A and B at total cost of Rs. 5,000. He sells A with 25% profit and B with 16.66% loss and get the same selling price for both the chairs. What are the purchasing price of A and B respectively?a)Rs. 1100 and Rs. 1400b)Rs. 1245 and Rs. 1255c)Rs. 1486 and Rs. 1014d)Rs. 2000 and Rs. 3000Correct answer is option 'D'. Can you explain this answer?.
Solutions for A man purchases two chairs A and B at total cost of Rs. 5,000. He sells A with 25% profit and B with 16.66% loss and get the same selling price for both the chairs. What are the purchasing price of A and B respectively?a)Rs. 1100 and Rs. 1400b)Rs. 1245 and Rs. 1255c)Rs. 1486 and Rs. 1014d)Rs. 2000 and Rs. 3000Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 12.
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A man purchases two chairs A and B at total cost of Rs. 5,000. He sells A with 25% profit and B with 16.66% loss and get the same selling price for both the chairs. What are the purchasing price of A and B respectively?a)Rs. 1100 and Rs. 1400b)Rs. 1245 and Rs. 1255c)Rs. 1486 and Rs. 1014d)Rs. 2000 and Rs. 3000Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A man purchases two chairs A and B at total cost of Rs. 5,000. He sells A with 25% profit and B with 16.66% loss and get the same selling price for both the chairs. What are the purchasing price of A and B respectively?a)Rs. 1100 and Rs. 1400b)Rs. 1245 and Rs. 1255c)Rs. 1486 and Rs. 1014d)Rs. 2000 and Rs. 3000Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A man purchases two chairs A and B at total cost of Rs. 5,000. He sells A with 25% profit and B with 16.66% loss and get the same selling price for both the chairs. What are the purchasing price of A and B respectively?a)Rs. 1100 and Rs. 1400b)Rs. 1245 and Rs. 1255c)Rs. 1486 and Rs. 1014d)Rs. 2000 and Rs. 3000Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A man purchases two chairs A and B at total cost of Rs. 5,000. He sells A with 25% profit and B with 16.66% loss and get the same selling price for both the chairs. What are the purchasing price of A and B respectively?a)Rs. 1100 and Rs. 1400b)Rs. 1245 and Rs. 1255c)Rs. 1486 and Rs. 1014d)Rs. 2000 and Rs. 3000Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Class 12 tests.
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