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Read the following text and answer the following questions.
A manufacturer of TV sets produced 600 sets in the third year and 700 sets in the seventh year, assuming that the production increases uniformly by a fixed number every year.
Q. Find the production in the first year?
  • a)
    500
  • b)
    650
  • c)
    600
  • d)
    550
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Read the following text and answer the following questions.A manufact...
Let a be the production in first year and d be the difference between the productions of two consecutive years.
a3 = a + 2d = 600 …(i)
a7 = a + 6d = 700 …(ii)
Subtracting (i) from (ii),
d = 25
Put value of d in (i), we get
a = 550
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Community Answer
Read the following text and answer the following questions.A manufact...
Given Information:
- The manufacturer produced 600 TV sets in the third year and 700 TV sets in the seventh year.
- The production increases uniformly by a fixed number every year.

Objective:
To find the production in the first year.

Assumptions:
- The increase in production is constant every year.
- The increase in production is the same in both years.

Let's Solve the Problem Step-by-Step:

Step 1: Calculate the increase in production from the third year to the seventh year.
- Production in the third year = 600 TV sets
- Production in the seventh year = 700 TV sets
- Increase in production = 700 - 600 = 100 TV sets

Step 2: Calculate the number of years between the third year and the first year.
- Since the increase in production is constant, the number of years between the third year and the first year would be 3 - 1 = 2 years.

Step 3: Calculate the increase in production per year.
- Since the increase in production is constant, the increase in production per year would be 100 TV sets / 4 years = 25 TV sets per year.

Step 4: Calculate the production in the first year.
- Production in the third year = 600 TV sets
- Increase in production per year = 25 TV sets
- Number of years between the third year and the first year = 2 years
- Production in the first year = 600 TV sets - (25 TV sets/year * 2 years) = 600 TV sets - 50 TV sets = 550 TV sets

Therefore, the production in the first year is 550 TV sets, which corresponds to option D.
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Read the following text and answer the following questions.A manufacturer of TV sets produced 600 sets in the third year and 700 sets in the seventh year, assuming that the production increases uniformly by a fixed number every year.Q. Find the production in the first year?a)500b)650c)600d)550Correct answer is option 'D'. Can you explain this answer?
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