NandishSS wrote:Last year, sales at Company X were 10% greater in February than in January, 15% less in March than in Feb, 20% greater in April than in March, 10% less in May than in April, and 5% greater in June than in May. In which month were sales closest to Jan?
A. Feb
B. Mar
C. Apr
D. May
E. June
Let Jan = 100.
Since Feb is 10% greater than Jan, Feb = 100 + (10% of 100) = 100 + 10 = 110.
Since Mar is 15% less than Feb, Mar = 110 - (15% of 110) ≈ 110 - 16 = 94.
Since Apr is 20% more than Mar, Apr = 94 + (20% of 94) ≈ 94 + 19 = 113.
Since May is 10% less than Apr,
May = 113 - (10% of 113) ≈ 113 - 11 = 102.
Since Jun is 5% greater than May, Jun > 102.
As indicated by the portion in blue, May's sales (102) are closest to January's (100).
The correct answer is
D.
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