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An article is sold at 20% profit. Had it been purchased 20% of less price and sold at Rs 5 less. He will got 25% of profit. Find CP of article. ?
Most Upvoted Answer
An article is sold at 20% profit. Had it been purchased 20% of less pr...
Solution:
Let the CP of the article be x.
According to the given information,
Selling price = CP + 20% of CP
= x + 0.2x
= 1.2x
Also, given that if the article was purchased at 20% less price and sold at Rs. 5 less, the profit would be 25%.
So, the new CP = 0.8x
New selling price = 1.25(0.8x) - 5
= x - 0.1x - 5
= 0.9x - 5
Equating the selling prices:
1.2x = 0.9x - 5
0.3x = 5
x = 16.67
Therefore, the CP of the article is Rs. 16.67.
Verification:
Selling price of the article = 1.2x = 1.2 * 16.67 = Rs. 20
Profit = Selling price - CP = 20 - 16.67 = Rs. 3.33
New selling price = 0.9x - 5 = 0.9 * 16.67 - 5 = Rs. 10
New profit = Selling price - CP = 10 - 12.5 = Rs. 2.5
We can see that the profit in the second case is 25% of the CP, as given in the question.
Hence, the solution is verified.
Let the CP of the article be x.
According to the given information,
Selling price = CP + 20% of CP
= x + 0.2x
= 1.2x
Also, given that if the article was purchased at 20% less price and sold at Rs. 5 less, the profit would be 25%.
So, the new CP = 0.8x
New selling price = 1.25(0.8x) - 5
= x - 0.1x - 5
= 0.9x - 5
Equating the selling prices:
1.2x = 0.9x - 5
0.3x = 5
x = 16.67
Therefore, the CP of the article is Rs. 16.67.
Verification:
Selling price of the article = 1.2x = 1.2 * 16.67 = Rs. 20
Profit = Selling price - CP = 20 - 16.67 = Rs. 3.33
New selling price = 0.9x - 5 = 0.9 * 16.67 - 5 = Rs. 10
New profit = Selling price - CP = 10 - 12.5 = Rs. 2.5
We can see that the profit in the second case is 25% of the CP, as given in the question.
Hence, the solution is verified.
Community Answer
An article is sold at 20% profit. Had it been purchased 20% of less pr...
SP - 30
CP - 25
CP - 25
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An article is sold at 20% profit. Had it been purchased 20% of less price and sold at Rs 5 less. He will got 25% of profit. Find CP of article. ?
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An article is sold at 20% profit. Had it been purchased 20% of less price and sold at Rs 5 less. He will got 25% of profit. Find CP of article. ? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about An article is sold at 20% profit. Had it been purchased 20% of less price and sold at Rs 5 less. He will got 25% of profit. Find CP of article. ? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An article is sold at 20% profit. Had it been purchased 20% of less price and sold at Rs 5 less. He will got 25% of profit. Find CP of article. ?.
An article is sold at 20% profit. Had it been purchased 20% of less price and sold at Rs 5 less. He will got 25% of profit. Find CP of article. ? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about An article is sold at 20% profit. Had it been purchased 20% of less price and sold at Rs 5 less. He will got 25% of profit. Find CP of article. ? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An article is sold at 20% profit. Had it been purchased 20% of less price and sold at Rs 5 less. He will got 25% of profit. Find CP of article. ?.
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