the farmers output of wheat grows by 8% every year in the year 2006 is output was 4374 how much was the output in the year 2004 and what will be its output in the year 2008
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Answer:
Given : A farmer's output of wheat grows by 8% every year. In the year 2006 his output was 4,374 quintals
To Find : output in the year 2004
output in the year 2008
Solution:
Let say Output in 2004 = P quintals
Rate of increase = 8 %
2004 to 2006 = 2 Years
Hence output in 2006 = P ( 1 + 8/100)²
= P (1.08)²
= 1.1664 P
1.1664 P =4374
=> P = 3750
output in the year 2004 = 3750 quintals
2006 to 2008 = 2 years
Hence output in 2008 = 4374 ( 1 + 8/100)²
= 4374 (1.1664)
= 5101.83
≈ 5102 quintals
output in the year 2008 = 5102 quintals
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