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A manufacturer of laptop produced 6000 units in 3rd year and 7000 units in the 7th year. Assuming that production increases uniformly by a fixed number every year, find the production in the 5th year.
- a)6500 units
- b)5000 units
- c)6000 units
- d)8000 units
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
A manufacturer of laptop produced 6000 units in 3rd year and 7000 unit...
Since, production of Laptops in 3rd year = 6000
⇒ a3 = 6000 ⇒ a + 2d = 6000 ...(i)
Also production of laptops in 7th year = 7000
a7 = 7000 ⇒ a + 6d = 7000 ...(ii)
Subtracting (i) from (ii), we get
4d = 1000 ⇒ d = 250
From (i), a + 2 (250) = 6000 ⇒ a = 5500
Hence, production in fifth year
a5 = a + 4d = (5500 + 4 (250)) = 6500 units
⇒ a3 = 6000 ⇒ a + 2d = 6000 ...(i)
Also production of laptops in 7th year = 7000
a7 = 7000 ⇒ a + 6d = 7000 ...(ii)
Subtracting (i) from (ii), we get
4d = 1000 ⇒ d = 250
From (i), a + 2 (250) = 6000 ⇒ a = 5500
Hence, production in fifth year
a5 = a + 4d = (5500 + 4 (250)) = 6500 units
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Community Answer
A manufacturer of laptop produced 6000 units in 3rd year and 7000 unit...
To find the production in the 5th year, we need to determine the rate at which the production is increasing every year. We can use the given information about the production in the 3rd and 7th year to calculate this rate.
Let's assume the fixed increase in production every year is represented by 'x'.
1. Calculate the increase in production from the 3rd to the 7th year:
- In the 3rd year, the production was 6000 units.
- In the 7th year, the production was 7000 units.
- The increase in production over four years is 7000 - 6000 = 1000 units.
- This increase in production is equal to 4 times the fixed increase 'x', as there are four years between the 3rd and 7th year.
- Therefore, 4x = 1000.
2. Solve the equation to find the value of 'x':
- Divide both sides of the equation 4x = 1000 by 4: x = 1000/4 = 250.
3. Calculate the production in the 5th year:
- To find the production in the 5th year, we need to add the fixed increase 'x' to the production in the 3rd year.
- Production in the 5th year = 6000 + 250 = 6250 units.
Therefore, the production in the 5th year is 6250 units, which is not listed as an option. It seems there may be an error in the given answer options because the correct answer is not included.
Let's assume the fixed increase in production every year is represented by 'x'.
1. Calculate the increase in production from the 3rd to the 7th year:
- In the 3rd year, the production was 6000 units.
- In the 7th year, the production was 7000 units.
- The increase in production over four years is 7000 - 6000 = 1000 units.
- This increase in production is equal to 4 times the fixed increase 'x', as there are four years between the 3rd and 7th year.
- Therefore, 4x = 1000.
2. Solve the equation to find the value of 'x':
- Divide both sides of the equation 4x = 1000 by 4: x = 1000/4 = 250.
3. Calculate the production in the 5th year:
- To find the production in the 5th year, we need to add the fixed increase 'x' to the production in the 3rd year.
- Production in the 5th year = 6000 + 250 = 6250 units.
Therefore, the production in the 5th year is 6250 units, which is not listed as an option. It seems there may be an error in the given answer options because the correct answer is not included.
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A manufacturer of laptop produced 6000 units in 3rd year and 7000 units in the 7th year. Assuming that production increases uniformly by a fixed number every year, find the production in the 5th year.a)6500 unitsb)5000 unitsc)6000 unitsd)8000 unitsCorrect answer is option 'A'. Can you explain this answer?
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A manufacturer of laptop produced 6000 units in 3rd year and 7000 units in the 7th year. Assuming that production increases uniformly by a fixed number every year, find the production in the 5th year.a)6500 unitsb)5000 unitsc)6000 unitsd)8000 unitsCorrect 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 A manufacturer of laptop produced 6000 units in 3rd year and 7000 units in the 7th year. Assuming that production increases uniformly by a fixed number every year, find the production in the 5th year.a)6500 unitsb)5000 unitsc)6000 unitsd)8000 unitsCorrect 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 A manufacturer of laptop produced 6000 units in 3rd year and 7000 units in the 7th year. Assuming that production increases uniformly by a fixed number every year, find the production in the 5th year.a)6500 unitsb)5000 unitsc)6000 unitsd)8000 unitsCorrect answer is option 'A'. Can you explain this answer?.
A manufacturer of laptop produced 6000 units in 3rd year and 7000 units in the 7th year. Assuming that production increases uniformly by a fixed number every year, find the production in the 5th year.a)6500 unitsb)5000 unitsc)6000 unitsd)8000 unitsCorrect 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 A manufacturer of laptop produced 6000 units in 3rd year and 7000 units in the 7th year. Assuming that production increases uniformly by a fixed number every year, find the production in the 5th year.a)6500 unitsb)5000 unitsc)6000 unitsd)8000 unitsCorrect 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 A manufacturer of laptop produced 6000 units in 3rd year and 7000 units in the 7th year. Assuming that production increases uniformly by a fixed number every year, find the production in the 5th year.a)6500 unitsb)5000 unitsc)6000 unitsd)8000 unitsCorrect answer is option 'A'. Can you explain this answer?.
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A manufacturer of laptop produced 6000 units in 3rd year and 7000 units in the 7th year. Assuming that production increases uniformly by a fixed number every year, find the production in the 5th year.a)6500 unitsb)5000 unitsc)6000 unitsd)8000 unitsCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A manufacturer of laptop produced 6000 units in 3rd year and 7000 units in the 7th year. Assuming that production increases uniformly by a fixed number every year, find the production in the 5th year.a)6500 unitsb)5000 unitsc)6000 unitsd)8000 unitsCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A manufacturer of laptop produced 6000 units in 3rd year and 7000 units in the 7th year. Assuming that production increases uniformly by a fixed number every year, find the production in the 5th year.a)6500 unitsb)5000 unitsc)6000 unitsd)8000 unitsCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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