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Percentage Practice Test 5 with solutions
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© examsnet.com
Question : 26
Total: 40
The annual production in a cement industry is subjected to business cycles. The production increases for two consecutive years consistently by 18% and decreases by 12% in the third year. Again in the next two years, it increases by 18% each year and decreases by 12% in the third year. Taking 2008 as the base year, what will be the approximate effect on cement production in 2012?
24% increase
37% decrease
45% increase
60% decrease
Validate
Solution:
Let the production in 2007 = 100
The product increases for two consecutive years by 18%.
In 2008 - 2009, the production increased by 18%
=
100
+
(
100
×
18
100
)
=
100
+
18
=
118
In 2009 - 2010 production increased 18%
=
118
+
(
118
×
18
100
)
=
139.24
In 2010 - 2011, the production decreased by 12%
=
139.24
−
(
139.24
×
12
100
)
= 122.53
In 2011 - 2011, the production increased by 18%
=
122.53
+
(
122.53
×
18
100
)
=
144.58
Approximate effect on cement production in 2012
=
44.58
100
×
100
=
44.58
%
= 45% increase
© examsnet.com
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