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Read the following text and answer the following questions on the basis of the same:
A small scale industry produces a certain boxes of candles in a day. Number of boxes prepared by each worked on a particular day was 2 more than thrice the number of workers working in the industry. The number of boxes produced in a particular day was 85.
Q. How many boxes will be prepared when number of workers are increased by 2.
- a)161
- b)150
- c)200
- d)155
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Read the following text and answer the following questions on the bas...
Number of workers = x
View all questions of this test
Number of workers when increased by 2 = x + 2
∴ Number of boxes prepared by the workers
(x + 2) = (x + 3) [2 + 3 (x + 2)
= 7 [2 + 3 × 7] [∵ x = 5]
= 7 × 23
= 161.
Most Upvoted Answer
Read the following text and answer the following questions on the bas...
Given:
- A small scale industry produces a certain number of boxes of candles in a day.
- The number of boxes prepared by each worker on a particular day was 2 more than thrice the number of workers working in the industry.
- The number of boxes produced in a particular day was 85.
To find:
- How many boxes will be prepared when the number of workers is increased by 2.
Solution:
Let's assume the number of workers in the industry is 'x'.
According to the given information, the number of boxes prepared by each worker is 2 more than thrice the number of workers. So, we can write the equation as:
Number of boxes prepared by each worker = 3x + 2
Since each worker produces a certain number of boxes, to find the total number of boxes produced in a day, we need to multiply the number of boxes prepared by each worker by the total number of workers. So, the equation becomes:
Total number of boxes produced in a day = (3x + 2) * x
It is given that the number of boxes produced in a particular day was 85. So, we have:
(3x + 2) * x = 85
Simplifying the equation:
3x^2 + 2x = 85
3x^2 + 2x - 85 = 0
To solve this quadratic equation, we can factorize it or use the quadratic formula. In this case, let's use the quadratic formula:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
For the given equation, a = 3, b = 2, and c = -85. Substituting these values into the quadratic formula:
x = (-2 ± sqrt(2^2 - 4 * 3 * -85)) / (2 * 3)
x = (-2 ± sqrt(4 + 1020)) / 6
x = (-2 ± sqrt(1024)) / 6
x = (-2 ± 32) / 6
Taking the positive value:
x = (32 - 2) / 6
x = 30 / 6
x = 5
So, the number of workers in the industry is 5.
Now, let's find the number of boxes that will be prepared when the number of workers is increased by 2.
New number of workers = 5 + 2 = 7
Number of boxes prepared by each worker = 3x + 2
Number of boxes prepared by each worker = 3 * 7 + 2
Number of boxes prepared by each worker = 21 + 2
Number of boxes prepared by each worker = 23
Total number of boxes produced in a day = Number of boxes prepared by each worker * Total number of workers
Total number of boxes produced in a day = 23 * 7
Total number of boxes produced in a day = 161
Therefore, when the number of workers is increased by 2, a total of 161 boxes will be prepared. Hence, the correct answer is option 'A'.
- A small scale industry produces a certain number of boxes of candles in a day.
- The number of boxes prepared by each worker on a particular day was 2 more than thrice the number of workers working in the industry.
- The number of boxes produced in a particular day was 85.
To find:
- How many boxes will be prepared when the number of workers is increased by 2.
Solution:
Let's assume the number of workers in the industry is 'x'.
According to the given information, the number of boxes prepared by each worker is 2 more than thrice the number of workers. So, we can write the equation as:
Number of boxes prepared by each worker = 3x + 2
Since each worker produces a certain number of boxes, to find the total number of boxes produced in a day, we need to multiply the number of boxes prepared by each worker by the total number of workers. So, the equation becomes:
Total number of boxes produced in a day = (3x + 2) * x
It is given that the number of boxes produced in a particular day was 85. So, we have:
(3x + 2) * x = 85
Simplifying the equation:
3x^2 + 2x = 85
3x^2 + 2x - 85 = 0
To solve this quadratic equation, we can factorize it or use the quadratic formula. In this case, let's use the quadratic formula:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
For the given equation, a = 3, b = 2, and c = -85. Substituting these values into the quadratic formula:
x = (-2 ± sqrt(2^2 - 4 * 3 * -85)) / (2 * 3)
x = (-2 ± sqrt(4 + 1020)) / 6
x = (-2 ± sqrt(1024)) / 6
x = (-2 ± 32) / 6
Taking the positive value:
x = (32 - 2) / 6
x = 30 / 6
x = 5
So, the number of workers in the industry is 5.
Now, let's find the number of boxes that will be prepared when the number of workers is increased by 2.
New number of workers = 5 + 2 = 7
Number of boxes prepared by each worker = 3x + 2
Number of boxes prepared by each worker = 3 * 7 + 2
Number of boxes prepared by each worker = 21 + 2
Number of boxes prepared by each worker = 23
Total number of boxes produced in a day = Number of boxes prepared by each worker * Total number of workers
Total number of boxes produced in a day = 23 * 7
Total number of boxes produced in a day = 161
Therefore, when the number of workers is increased by 2, a total of 161 boxes will be prepared. Hence, the correct answer is option 'A'.
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Read the following text and answer the following questions on the basis of the same:A small scale industry produces a certain boxes of candles in a day. Number of boxes prepared by each worked on a particular day was 2 more than thrice the number of workers working in the industry. The number of boxes produced in a particular day was 85.Q. How many boxes will be prepared when number of workers are increased by 2.a)161b)150c)200d)155Correct answer is option 'A'. Can you explain this answer?
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Read the following text and answer the following questions on the basis of the same:A small scale industry produces a certain boxes of candles in a day. Number of boxes prepared by each worked on a particular day was 2 more than thrice the number of workers working in the industry. The number of boxes produced in a particular day was 85.Q. How many boxes will be prepared when number of workers are increased by 2.a)161b)150c)200d)155Correct answer is option 'A'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Read the following text and answer the following questions on the basis of the same:A small scale industry produces a certain boxes of candles in a day. Number of boxes prepared by each worked on a particular day was 2 more than thrice the number of workers working in the industry. The number of boxes produced in a particular day was 85.Q. How many boxes will be prepared when number of workers are increased by 2.a)161b)150c)200d)155Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Read the following text and answer the following questions on the basis of the same:A small scale industry produces a certain boxes of candles in a day. Number of boxes prepared by each worked on a particular day was 2 more than thrice the number of workers working in the industry. The number of boxes produced in a particular day was 85.Q. How many boxes will be prepared when number of workers are increased by 2.a)161b)150c)200d)155Correct answer is option 'A'. Can you explain this answer?.
Read the following text and answer the following questions on the basis of the same:A small scale industry produces a certain boxes of candles in a day. Number of boxes prepared by each worked on a particular day was 2 more than thrice the number of workers working in the industry. The number of boxes produced in a particular day was 85.Q. How many boxes will be prepared when number of workers are increased by 2.a)161b)150c)200d)155Correct answer is option 'A'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Read the following text and answer the following questions on the basis of the same:A small scale industry produces a certain boxes of candles in a day. Number of boxes prepared by each worked on a particular day was 2 more than thrice the number of workers working in the industry. The number of boxes produced in a particular day was 85.Q. How many boxes will be prepared when number of workers are increased by 2.a)161b)150c)200d)155Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Read the following text and answer the following questions on the basis of the same:A small scale industry produces a certain boxes of candles in a day. Number of boxes prepared by each worked on a particular day was 2 more than thrice the number of workers working in the industry. The number of boxes produced in a particular day was 85.Q. How many boxes will be prepared when number of workers are increased by 2.a)161b)150c)200d)155Correct answer is option 'A'. Can you explain this answer?.
Solutions for Read the following text and answer the following questions on the basis of the same:A small scale industry produces a certain boxes of candles in a day. Number of boxes prepared by each worked on a particular day was 2 more than thrice the number of workers working in the industry. The number of boxes produced in a particular day was 85.Q. How many boxes will be prepared when number of workers are increased by 2.a)161b)150c)200d)155Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
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ample number of questions to practice Read the following text and answer the following questions on the basis of the same:A small scale industry produces a certain boxes of candles in a day. Number of boxes prepared by each worked on a particular day was 2 more than thrice the number of workers working in the industry. The number of boxes produced in a particular day was 85.Q. How many boxes will be prepared when number of workers are increased by 2.a)161b)150c)200d)155Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 10 tests.
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