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The CP of two article is equal. One article is sold at a profit of 12% and the other article for ₹3600 more than the first. If the net profit is 15 ×27÷51 then find C.P of each article.?
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The CP of two article is equal. One article is sold at a profit of 12%...
Understanding the Problem
We have two articles with the same Cost Price (CP). The first article is sold at a profit of 12%, while the second is sold for ₹3600 more than the first. The total profit from both articles is calculated as 15 × 27 ÷ 51.
Calculating the Total Profit
To simplify the profit calculation, we evaluate:
- Total Profit = 15 × 27 ÷ 51 = 7.0588 (approximately 7.06)
This indicates the total profit as a percentage of the combined cost price of both articles.
Setting Up the Equations
1. Let the CP of each article be 'x'.
2. Profit from the first article = 12% of x = 0.12x.
3. Selling Price (SP) of the first article = x + 0.12x = 1.12x.
4. Selling Price of the second article = SP of first + ₹3600 = 1.12x + 3600.
Profit from the Second Article
The profit from the second article can be expressed as:
- Profit from the second article = Selling Price - Cost Price = (1.12x + 3600) - x = 0.12x + 3600.
Calculating Total Profit
The total profit from both articles is:
- Total Profit = Profit from the first + Profit from the second
- Total Profit = 0.12x + (0.12x + 3600) = 0.24x + 3600.
Setting this equal to the total profit calculated earlier:
0.24x + 3600 = 7.06x.
Solving for CP
Rearranging gives:
- 3600 = 7.06x - 0.24x
- 3600 = 6.82x
- x = 3600 / 6.82 ≈ 528.66.
Final Cost Price
Thus, the Cost Price of each article is approximately ₹528.66.
We have two articles with the same Cost Price (CP). The first article is sold at a profit of 12%, while the second is sold for ₹3600 more than the first. The total profit from both articles is calculated as 15 × 27 ÷ 51.
Calculating the Total Profit
To simplify the profit calculation, we evaluate:
- Total Profit = 15 × 27 ÷ 51 = 7.0588 (approximately 7.06)
This indicates the total profit as a percentage of the combined cost price of both articles.
Setting Up the Equations
1. Let the CP of each article be 'x'.
2. Profit from the first article = 12% of x = 0.12x.
3. Selling Price (SP) of the first article = x + 0.12x = 1.12x.
4. Selling Price of the second article = SP of first + ₹3600 = 1.12x + 3600.
Profit from the Second Article
The profit from the second article can be expressed as:
- Profit from the second article = Selling Price - Cost Price = (1.12x + 3600) - x = 0.12x + 3600.
Calculating Total Profit
The total profit from both articles is:
- Total Profit = Profit from the first + Profit from the second
- Total Profit = 0.12x + (0.12x + 3600) = 0.24x + 3600.
Setting this equal to the total profit calculated earlier:
0.24x + 3600 = 7.06x.
Solving for CP
Rearranging gives:
- 3600 = 7.06x - 0.24x
- 3600 = 6.82x
- x = 3600 / 6.82 ≈ 528.66.
Final Cost Price
Thus, the Cost Price of each article is approximately ₹528.66.
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The CP of two article is equal. One article is sold at a profit of 12% and the other article for ₹3600 more than the first. If the net profit is 15 ×27÷51 then find C.P of each article.?
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The CP of two article is equal. One article is sold at a profit of 12% and the other article for ₹3600 more than the first. If the net profit is 15 ×27÷51 then find C.P of each article.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The CP of two article is equal. One article is sold at a profit of 12% and the other article for ₹3600 more than the first. If the net profit is 15 ×27÷51 then find C.P of each article.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The CP of two article is equal. One article is sold at a profit of 12% and the other article for ₹3600 more than the first. If the net profit is 15 ×27÷51 then find C.P of each article.?.
The CP of two article is equal. One article is sold at a profit of 12% and the other article for ₹3600 more than the first. If the net profit is 15 ×27÷51 then find C.P of each article.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The CP of two article is equal. One article is sold at a profit of 12% and the other article for ₹3600 more than the first. If the net profit is 15 ×27÷51 then find C.P of each article.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The CP of two article is equal. One article is sold at a profit of 12% and the other article for ₹3600 more than the first. If the net profit is 15 ×27÷51 then find C.P of each article.?.
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