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A trader gets a profit of 25% on an article. If he buys the article at 10% lesser price and sells it for Rs 2 less, he still gets 25% profit. Find the actual C.P. of the article.
- a)Rs 26
- b)Rs 18
- c)Rs 36
- d)Rs 16
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A trader gets a profit of 25% on an article. If he buys the article at...
25% gain
∴ S.P. = 1.25 C.P......... (i)
Now, C.P. is 10% less
0.9 C.P. and S.P. is Rs 2 less ⇒ (S.P. -2).
Still, profit is 25% ⇒ (S.P. – 2) =1.25
(0.9 C.P.), where S.P. = 1.25 C.P. [From equation (i)]
C.P. = Rs 16.
∴ S.P. = 1.25 C.P......... (i)
Now, C.P. is 10% less
0.9 C.P. and S.P. is Rs 2 less ⇒ (S.P. -2).
Still, profit is 25% ⇒ (S.P. – 2) =1.25
(0.9 C.P.), where S.P. = 1.25 C.P. [From equation (i)]
C.P. = Rs 16.
Most Upvoted Answer
A trader gets a profit of 25% on an article. If he buys the article at...
Given, Profit on an article = 25%
Let the Cost Price of the article be x.
Profit = Selling Price - Cost Price
Profit% = (Profit/Cost Price) × 100
Case 1:
The trader sells the article at a 25% profit.
Selling Price = Cost Price + Profit
Selling Price = x + 0.25x
Selling Price = 1.25x
Case 2:
The trader buys the article at a 10% discount and sells it for Rs 2 less but still makes a 25% profit.
New Cost Price = 0.9x
New Selling Price = (1.25x - 2)
Profit = New Selling Price - New Cost Price
Profit% = (Profit/New Cost Price) × 100
Since the profit earned in both cases is the same, we can equate them.
1.25x - x = (0.25)(0.9x)
0.25x = 0.225x + 0.5
0.025x = 0.5
x = 20
Therefore, the actual Cost Price of the article is Rs 20.
But the options are given in a different format, so we need to find the discounted price.
10% discount on Cost Price = 0.1x
Discounted Price = x - 0.1x
Discounted Price = 0.9x
Discounted Price = 0.9 × 20 = Rs 18
Hence, option (d) Rs 16 is incorrect and the correct answer is (b) Rs 18.
Let the Cost Price of the article be x.
Profit = Selling Price - Cost Price
Profit% = (Profit/Cost Price) × 100
Case 1:
The trader sells the article at a 25% profit.
Selling Price = Cost Price + Profit
Selling Price = x + 0.25x
Selling Price = 1.25x
Case 2:
The trader buys the article at a 10% discount and sells it for Rs 2 less but still makes a 25% profit.
New Cost Price = 0.9x
New Selling Price = (1.25x - 2)
Profit = New Selling Price - New Cost Price
Profit% = (Profit/New Cost Price) × 100
Since the profit earned in both cases is the same, we can equate them.
1.25x - x = (0.25)(0.9x)
0.25x = 0.225x + 0.5
0.025x = 0.5
x = 20
Therefore, the actual Cost Price of the article is Rs 20.
But the options are given in a different format, so we need to find the discounted price.
10% discount on Cost Price = 0.1x
Discounted Price = x - 0.1x
Discounted Price = 0.9x
Discounted Price = 0.9 × 20 = Rs 18
Hence, option (d) Rs 16 is incorrect and the correct answer is (b) Rs 18.
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A trader gets a profit of 25% on an article. If he buys the article at...
Option d is the answer
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A trader gets a profit of 25% on an article. If he buys the article at 10% lesser price and sells it for Rs 2 less, he still gets 25% profit. Find the actual C.P. of the article.a)Rs 26b)Rs 18c)Rs 36d)Rs 16Correct answer is option 'D'. Can you explain this answer?
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A trader gets a profit of 25% on an article. If he buys the article at 10% lesser price and sells it for Rs 2 less, he still gets 25% profit. Find the actual C.P. of the article.a)Rs 26b)Rs 18c)Rs 36d)Rs 16Correct answer is option 'D'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A trader gets a profit of 25% on an article. If he buys the article at 10% lesser price and sells it for Rs 2 less, he still gets 25% profit. Find the actual C.P. of the article.a)Rs 26b)Rs 18c)Rs 36d)Rs 16Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A trader gets a profit of 25% on an article. If he buys the article at 10% lesser price and sells it for Rs 2 less, he still gets 25% profit. Find the actual C.P. of the article.a)Rs 26b)Rs 18c)Rs 36d)Rs 16Correct answer is option 'D'. Can you explain this answer?.
A trader gets a profit of 25% on an article. If he buys the article at 10% lesser price and sells it for Rs 2 less, he still gets 25% profit. Find the actual C.P. of the article.a)Rs 26b)Rs 18c)Rs 36d)Rs 16Correct answer is option 'D'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A trader gets a profit of 25% on an article. If he buys the article at 10% lesser price and sells it for Rs 2 less, he still gets 25% profit. Find the actual C.P. of the article.a)Rs 26b)Rs 18c)Rs 36d)Rs 16Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A trader gets a profit of 25% on an article. If he buys the article at 10% lesser price and sells it for Rs 2 less, he still gets 25% profit. Find the actual C.P. of the article.a)Rs 26b)Rs 18c)Rs 36d)Rs 16Correct answer is option 'D'. Can you explain this answer?.
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A trader gets a profit of 25% on an article. If he buys the article at 10% lesser price and sells it for Rs 2 less, he still gets 25% profit. Find the actual C.P. of the article.a)Rs 26b)Rs 18c)Rs 36d)Rs 16Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A trader gets a profit of 25% on an article. If he buys the article at 10% lesser price and sells it for Rs 2 less, he still gets 25% profit. Find the actual C.P. of the article.a)Rs 26b)Rs 18c)Rs 36d)Rs 16Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A trader gets a profit of 25% on an article. If he buys the article at 10% lesser price and sells it for Rs 2 less, he still gets 25% profit. Find the actual C.P. of the article.a)Rs 26b)Rs 18c)Rs 36d)Rs 16Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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