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The production of TV in a factory increases uniformly by a fixed number every year. It produced 8000 sets in 6th year and 11300 in 9th year. Find the production in the 6 years.
- a)40500
- b)20000
- c)20500
- d)31500
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The production of TV in a factory increases uniformly by a fixed numbe...
Since, production of TV in 6th year = 8000
⇒ a6 = 8000 ⇒ a + 5d = 8000 ...(i)
Also, production of TV in 9th year = 11300
⇒ a9 = 11300 or a + 8d = 11300 ...(ii)
Subtracting (i) from (ii), we get
3d = 3300 ⇒ d = 1100
From (i), a = 2500
∴ Production in 6 years, i.e.,
S6 = 6/2[2(2500) + (6-1)(1100)] = 31500
⇒ a6 = 8000 ⇒ a + 5d = 8000 ...(i)
Also, production of TV in 9th year = 11300
⇒ a9 = 11300 or a + 8d = 11300 ...(ii)
Subtracting (i) from (ii), we get
3d = 3300 ⇒ d = 1100
From (i), a = 2500
∴ Production in 6 years, i.e.,
S6 = 6/2[2(2500) + (6-1)(1100)] = 31500
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The production of TV in a factory increases uniformly by a fixed numbe...
Given Data:
- TV production increases uniformly by a fixed number every year
- 8000 sets produced in the 6th year
- 11300 sets produced in the 9th year
Calculating the increase in production per year:
- Let the fixed increase be denoted by 'x'
- In the 6th year, the production is 8000 sets
- In the 9th year, the production is 11300 sets
- So, the increase in production over 3 years is (11300 - 8000) = 3300 sets
- This increase is due to the fixed increase 'x' each year
- So, 3x = 3300
- x = 1100
Calculating the production in the first 6 years:
- The production in the 6th year is 8000 sets
- So, the production in the 1st year would be (8000 - 5x) = (8000 - 5*1100) = 8000 - 5500 = 2500 sets
- Total production in the first 6 years = 6 * (2500 + 1100 + 2*1100 + 3*1100) = 6 * (2500 + 1100 + 2200 + 3300) = 6 * 9100 = 54600 sets
Therefore, the correct answer is option 'D' - 31500.
- TV production increases uniformly by a fixed number every year
- 8000 sets produced in the 6th year
- 11300 sets produced in the 9th year
Calculating the increase in production per year:
- Let the fixed increase be denoted by 'x'
- In the 6th year, the production is 8000 sets
- In the 9th year, the production is 11300 sets
- So, the increase in production over 3 years is (11300 - 8000) = 3300 sets
- This increase is due to the fixed increase 'x' each year
- So, 3x = 3300
- x = 1100
Calculating the production in the first 6 years:
- The production in the 6th year is 8000 sets
- So, the production in the 1st year would be (8000 - 5x) = (8000 - 5*1100) = 8000 - 5500 = 2500 sets
- Total production in the first 6 years = 6 * (2500 + 1100 + 2*1100 + 3*1100) = 6 * (2500 + 1100 + 2200 + 3300) = 6 * 9100 = 54600 sets
Therefore, the correct answer is option 'D' - 31500.
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The production of TV in a factory increases uniformly by a fixed number every year. It produced 8000 sets in 6th year and 11300 in 9th year. Find the production in the 6 years.a)40500b)20000c)20500d)31500Correct answer is option 'D'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The production of TV in a factory increases uniformly by a fixed number every year. It produced 8000 sets in 6th year and 11300 in 9th year. Find the production in the 6 years.a)40500b)20000c)20500d)31500Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The production of TV in a factory increases uniformly by a fixed number every year. It produced 8000 sets in 6th year and 11300 in 9th year. Find the production in the 6 years.a)40500b)20000c)20500d)31500Correct answer is option 'D'. Can you explain this answer?.
The production of TV in a factory increases uniformly by a fixed number every year. It produced 8000 sets in 6th year and 11300 in 9th year. Find the production in the 6 years.a)40500b)20000c)20500d)31500Correct answer is option 'D'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The production of TV in a factory increases uniformly by a fixed number every year. It produced 8000 sets in 6th year and 11300 in 9th year. Find the production in the 6 years.a)40500b)20000c)20500d)31500Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The production of TV in a factory increases uniformly by a fixed number every year. It produced 8000 sets in 6th year and 11300 in 9th year. Find the production in the 6 years.a)40500b)20000c)20500d)31500Correct answer is option 'D'. Can you explain this answer?.
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