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Particular company produces some articles on a day. The cost of production per article is Rs.2 more than thrice the number of articles and the total cost of production is RS.800 on a day then the number of articles is?
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Particular company produces some articles on a day. The cost of produc...
Understanding the Problem
We need to determine the number of articles produced by a company based on the given cost of production.
Given Data
- Cost of production per article = Rs. 2 + 3 * (number of articles)
- Total cost of production = Rs. 800
Let’s Define Variables
- Let the number of articles produced be represented as "x".
Formulating the Cost Equation
The cost of production per article can be expressed as:
- Cost per article = 3x + 2
The total cost for x articles can be calculated as:
- Total Cost = Number of Articles * Cost per Article
- Total Cost = x * (3x + 2)
Setting up the equation based on the total cost:
- x * (3x + 2) = 800
Expanding the Equation
Expanding the equation gives us:
- 3x² + 2x = 800
Moving all terms to one side results in:
- 3x² + 2x - 800 = 0
Using the Quadratic Formula
To solve for x, we can use the quadratic formula:
- x = [-b ± √(b² - 4ac)] / 2a
Where:
- a = 3
- b = 2
- c = -800
Calculating the Discriminant
Calculating the discriminant:
- b² - 4ac = 2² - 4 * 3 * (-800) = 4 + 9600 = 9604
Finding Roots
Calculating the roots:
- x = [-2 ± √9604] / 6
- √9604 = 98
- Possible values of x = (98 - 2) / 6 or ( -98 - 2) / 6
Calculating the valid solution:
- x = 96 / 6 = 16
Conclusion
The number of articles produced is:
- 16 articles.
We need to determine the number of articles produced by a company based on the given cost of production.
Given Data
- Cost of production per article = Rs. 2 + 3 * (number of articles)
- Total cost of production = Rs. 800
Let’s Define Variables
- Let the number of articles produced be represented as "x".
Formulating the Cost Equation
The cost of production per article can be expressed as:
- Cost per article = 3x + 2
The total cost for x articles can be calculated as:
- Total Cost = Number of Articles * Cost per Article
- Total Cost = x * (3x + 2)
Setting up the equation based on the total cost:
- x * (3x + 2) = 800
Expanding the Equation
Expanding the equation gives us:
- 3x² + 2x = 800
Moving all terms to one side results in:
- 3x² + 2x - 800 = 0
Using the Quadratic Formula
To solve for x, we can use the quadratic formula:
- x = [-b ± √(b² - 4ac)] / 2a
Where:
- a = 3
- b = 2
- c = -800
Calculating the Discriminant
Calculating the discriminant:
- b² - 4ac = 2² - 4 * 3 * (-800) = 4 + 9600 = 9604
Finding Roots
Calculating the roots:
- x = [-2 ± √9604] / 6
- √9604 = 98
- Possible values of x = (98 - 2) / 6 or ( -98 - 2) / 6
Calculating the valid solution:
- x = 96 / 6 = 16
Conclusion
The number of articles produced is:
- 16 articles.
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Particular company produces some articles on a day. The cost of production per article is Rs.2 more than thrice the number of articles and the total cost of production is RS.800 on a day then the number of articles is?
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Particular company produces some articles on a day. The cost of production per article is Rs.2 more than thrice the number of articles and the total cost of production is RS.800 on a day then the number of articles is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Particular company produces some articles on a day. The cost of production per article is Rs.2 more than thrice the number of articles and the total cost of production is RS.800 on a day then the number of articles is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Particular company produces some articles on a day. The cost of production per article is Rs.2 more than thrice the number of articles and the total cost of production is RS.800 on a day then the number of articles is?.
Particular company produces some articles on a day. The cost of production per article is Rs.2 more than thrice the number of articles and the total cost of production is RS.800 on a day then the number of articles is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Particular company produces some articles on a day. The cost of production per article is Rs.2 more than thrice the number of articles and the total cost of production is RS.800 on a day then the number of articles is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Particular company produces some articles on a day. The cost of production per article is Rs.2 more than thrice the number of articles and the total cost of production is RS.800 on a day then the number of articles is?.
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