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The CP of two article is same . One article is sold at a profit of 12% and 2nd for 3600 more than the 1st. If the net profit is 264÷17 ℅, then find the CP of each article.?
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The CP of two article is same . 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 article. The net profit percentage from both articles combined is 264/17%.
Step-by-Step Solution
- Let the CP of each article be "x".
- Selling Price (SP) of the first article:
- SP1 = CP + Profit = x + 0.12x = 1.12x
- Selling Price (SP) of the second article:
- SP2 = SP1 + 3600 = 1.12x + 3600
- Total Selling Price (SP) of both articles:
- Total SP = SP1 + SP2 = 1.12x + (1.12x + 3600) = 2.24x + 3600
- Total Cost Price (CP) of both articles:
- Total CP = x + x = 2x
- According to the problem, the net profit percentage is 264/17%:
- Net Profit = Total SP - Total CP = (2.24x + 3600) - 2x = 0.24x + 3600
- Net Profit Percentage = (Net Profit / Total CP) * 100
- 264/17 = (0.24x + 3600) / (2x) * 100
Setting Up the Equation
- Rearranging the equation:
- (0.24x + 3600) * 17 = 264 * 2x
- 4.08x + 61200 = 528x
- 61200 = 528x - 4.08x
- 61200 = 523.92x
Finding the CP
- Solving for x:
- x = 61200 / 523.92
- x ≈ 116.8 (approx)
Thus, the cost price (CP) of each article is approximately 116.8.
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 article. The net profit percentage from both articles combined is 264/17%.
Step-by-Step Solution
- Let the CP of each article be "x".
- Selling Price (SP) of the first article:
- SP1 = CP + Profit = x + 0.12x = 1.12x
- Selling Price (SP) of the second article:
- SP2 = SP1 + 3600 = 1.12x + 3600
- Total Selling Price (SP) of both articles:
- Total SP = SP1 + SP2 = 1.12x + (1.12x + 3600) = 2.24x + 3600
- Total Cost Price (CP) of both articles:
- Total CP = x + x = 2x
- According to the problem, the net profit percentage is 264/17%:
- Net Profit = Total SP - Total CP = (2.24x + 3600) - 2x = 0.24x + 3600
- Net Profit Percentage = (Net Profit / Total CP) * 100
- 264/17 = (0.24x + 3600) / (2x) * 100
Setting Up the Equation
- Rearranging the equation:
- (0.24x + 3600) * 17 = 264 * 2x
- 4.08x + 61200 = 528x
- 61200 = 528x - 4.08x
- 61200 = 523.92x
Finding the CP
- Solving for x:
- x = 61200 / 523.92
- x ≈ 116.8 (approx)
Thus, the cost price (CP) of each article is approximately 116.8.
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The CP of two article is same . One article is sold at a profit of 12% and 2nd for 3600 more than the 1st. If the net profit is 264÷17 ℅, then find the CP of each article.?
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The CP of two article is same . One article is sold at a profit of 12% and 2nd for 3600 more than the 1st. If the net profit is 264÷17 ℅, then find the CP 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 same . One article is sold at a profit of 12% and 2nd for 3600 more than the 1st. If the net profit is 264÷17 ℅, then find the CP 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 same . One article is sold at a profit of 12% and 2nd for 3600 more than the 1st. If the net profit is 264÷17 ℅, then find the CP of each article.?.
The CP of two article is same . One article is sold at a profit of 12% and 2nd for 3600 more than the 1st. If the net profit is 264÷17 ℅, then find the CP 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 same . One article is sold at a profit of 12% and 2nd for 3600 more than the 1st. If the net profit is 264÷17 ℅, then find the CP 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 same . One article is sold at a profit of 12% and 2nd for 3600 more than the 1st. If the net profit is 264÷17 ℅, then find the CP of each article.?.
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