Quant Exam > Quant Questions > P calculates his profit percent on selling pr...
Start Learning for Free
P calculates his profit percent on selling price while Q calculates his profit percent on cost price. They notice that difference between their profits is 1000 rupees. If selling price of both P and Q are same and P gets 40% profit and Q gets 60% profit. Then find their selling price
- a)7750
- b)8750
- c)9750
- d)1050
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
P calculates his profit percent on selling price while Q calculates hi...
Let selling price = SP and cost price of A = CP1 and that of Q = CP2.
For P, % profit = (SP – CP1)/SP = 40/100. We get CP1 = (3/5)*SP
For Q, % profit = (SP – CP2)/CP2 = 60/100. We get CP2 = (5/7)*SP
Now, CP2 – CP1 = 1000. Solve this and we get SP = 8750
For P, % profit = (SP – CP1)/SP = 40/100. We get CP1 = (3/5)*SP
For Q, % profit = (SP – CP2)/CP2 = 60/100. We get CP2 = (5/7)*SP
Now, CP2 – CP1 = 1000. Solve this and we get SP = 8750
Most Upvoted Answer
P calculates his profit percent on selling price while Q calculates hi...
Given:
- P calculates profit percentage on selling price
- Q calculates profit percentage on cost price
- Difference between their profits is 1000 rupees
- Selling price of both P and Q are same
- P gets 40% profit
- Q gets 60% profit
To find: Selling price of both P and Q
Solution:
Let the cost price of the product be x.
The selling price of P is (1 + 40/100)x = 1.4x
The selling price of Q is (1 + 60/100)x = 1.6x
The difference between their profits is 1000 rupees.
Profit of P - Profit of Q = 1000
(1.4x - x) - (1.6x - x) = 1000
0.4x - 0.6x = 1000
-0.2x = 1000
x = -5000 (This is not possible as cost price cannot be negative)
Therefore, we made a mistake by assuming that the cost price is x.
Let the selling price of P and Q be y.
The cost price of P is (100/140)y = 5y/7
The cost price of Q is (100/160)y = 5y/8
Profit of P = y - 5y/7 = 2y/7
Profit of Q = y - 5y/8 = 3y/8
Difference between their profits = Profit of Q - Profit of P = (3y/8) - (2y/7) = 1000
Solving this equation, we get y = 8750.
Therefore, the selling price of both P and Q is 8750.
Hence, the answer is option B.
- P calculates profit percentage on selling price
- Q calculates profit percentage on cost price
- Difference between their profits is 1000 rupees
- Selling price of both P and Q are same
- P gets 40% profit
- Q gets 60% profit
To find: Selling price of both P and Q
Solution:
Let the cost price of the product be x.
The selling price of P is (1 + 40/100)x = 1.4x
The selling price of Q is (1 + 60/100)x = 1.6x
The difference between their profits is 1000 rupees.
Profit of P - Profit of Q = 1000
(1.4x - x) - (1.6x - x) = 1000
0.4x - 0.6x = 1000
-0.2x = 1000
x = -5000 (This is not possible as cost price cannot be negative)
Therefore, we made a mistake by assuming that the cost price is x.
Let the selling price of P and Q be y.
The cost price of P is (100/140)y = 5y/7
The cost price of Q is (100/160)y = 5y/8
Profit of P = y - 5y/7 = 2y/7
Profit of Q = y - 5y/8 = 3y/8
Difference between their profits = Profit of Q - Profit of P = (3y/8) - (2y/7) = 1000
Solving this equation, we get y = 8750.
Therefore, the selling price of both P and Q is 8750.
Hence, the answer is option B.
Free Test
FREE
| Start Free Test |
Community Answer
P calculates his profit percent on selling price while Q calculates hi...
Let selling price = SP and cost price of A = CP1 and that of Q = CP2.
For P, % profit = (SP – CP1)/SP = 40/100. We get CP1 = (3/5)*SP
For Q, % profit = (SP – CP2)/CP2 = 60/100. We get CP2 = (5/7)*SP
Now, CP2 – CP1 = 1000. Solve this and we get SP = 8750
For P, % profit = (SP – CP1)/SP = 40/100. We get CP1 = (3/5)*SP
For Q, % profit = (SP – CP2)/CP2 = 60/100. We get CP2 = (5/7)*SP
Now, CP2 – CP1 = 1000. Solve this and we get SP = 8750
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
P calculates his profit percent on selling price while Q calculates his profit percent on cost price. They notice that difference between their profits is 1000 rupees. If selling price of both P and Q are same and P gets 40% profit and Q gets 60% profit. Then find their selling pricea)7750b)8750c)9750d)1050e)None of theseCorrect answer is option 'B'. Can you explain this answer?
Question Description
P calculates his profit percent on selling price while Q calculates his profit percent on cost price. They notice that difference between their profits is 1000 rupees. If selling price of both P and Q are same and P gets 40% profit and Q gets 60% profit. Then find their selling pricea)7750b)8750c)9750d)1050e)None of theseCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about P calculates his profit percent on selling price while Q calculates his profit percent on cost price. They notice that difference between their profits is 1000 rupees. If selling price of both P and Q are same and P gets 40% profit and Q gets 60% profit. Then find their selling pricea)7750b)8750c)9750d)1050e)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P calculates his profit percent on selling price while Q calculates his profit percent on cost price. They notice that difference between their profits is 1000 rupees. If selling price of both P and Q are same and P gets 40% profit and Q gets 60% profit. Then find their selling pricea)7750b)8750c)9750d)1050e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
P calculates his profit percent on selling price while Q calculates his profit percent on cost price. They notice that difference between their profits is 1000 rupees. If selling price of both P and Q are same and P gets 40% profit and Q gets 60% profit. Then find their selling pricea)7750b)8750c)9750d)1050e)None of theseCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about P calculates his profit percent on selling price while Q calculates his profit percent on cost price. They notice that difference between their profits is 1000 rupees. If selling price of both P and Q are same and P gets 40% profit and Q gets 60% profit. Then find their selling pricea)7750b)8750c)9750d)1050e)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P calculates his profit percent on selling price while Q calculates his profit percent on cost price. They notice that difference between their profits is 1000 rupees. If selling price of both P and Q are same and P gets 40% profit and Q gets 60% profit. Then find their selling pricea)7750b)8750c)9750d)1050e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Solutions for P calculates his profit percent on selling price while Q calculates his profit percent on cost price. They notice that difference between their profits is 1000 rupees. If selling price of both P and Q are same and P gets 40% profit and Q gets 60% profit. Then find their selling pricea)7750b)8750c)9750d)1050e)None of theseCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of P calculates his profit percent on selling price while Q calculates his profit percent on cost price. They notice that difference between their profits is 1000 rupees. If selling price of both P and Q are same and P gets 40% profit and Q gets 60% profit. Then find their selling pricea)7750b)8750c)9750d)1050e)None of theseCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
P calculates his profit percent on selling price while Q calculates his profit percent on cost price. They notice that difference between their profits is 1000 rupees. If selling price of both P and Q are same and P gets 40% profit and Q gets 60% profit. Then find their selling pricea)7750b)8750c)9750d)1050e)None of theseCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for P calculates his profit percent on selling price while Q calculates his profit percent on cost price. They notice that difference between their profits is 1000 rupees. If selling price of both P and Q are same and P gets 40% profit and Q gets 60% profit. Then find their selling pricea)7750b)8750c)9750d)1050e)None of theseCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of P calculates his profit percent on selling price while Q calculates his profit percent on cost price. They notice that difference between their profits is 1000 rupees. If selling price of both P and Q are same and P gets 40% profit and Q gets 60% profit. Then find their selling pricea)7750b)8750c)9750d)1050e)None of theseCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice P calculates his profit percent on selling price while Q calculates his profit percent on cost price. They notice that difference between their profits is 1000 rupees. If selling price of both P and Q are same and P gets 40% profit and Q gets 60% profit. Then find their selling pricea)7750b)8750c)9750d)1050e)None of theseCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup