CBSE Class 10 Answered
After being set up,a company manufactured 6000 scooters in the 3rd and 8000 scooters in the 7th year.Assuming that the production increases uniformly by a fixed year,Find:
1) the production in the first year,
2) the total production in 7 years and
3) the production in the 10th year.
Asked by Amuthavalli Thayyal Gopala Krishnan | 23 Nov, 2013, 08:34: PM
Expert Answer
Given that the production uniformly increases by fixed number every year. So, the production in each year forms an AP.
Let the AP be a, a + d, a + 2d, ……
Production in the third year = a3 = a + 2d = 6000 … (1)
Production in the seventh year = a7 = a + 6d = 8000 … (2)
Subtracting (1) from (2), we get:
4d = 2000 i.e. d = 500
From (1), we get a = 6000 – 1000 = 5000
Thus, production in the first year is 5000 units.
= 45500
Thus, the total production in 7 years is 45500 units.
Production in the 10th year = a10 = a + 9d = 5000 + 9 500 = 9500 units
Answered by Rashmi Khot | 25 Nov, 2013, 10:35: AM
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