一所大学五年的男女学生比例如下图所示。如果2009年女生人数翻了一番,那么2009年男生人数增加了多少? (A) 120 (B) 140 (C) 160 (D) 180 答复: (B) 说明:
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Let x represent the males and y represent the females. In 2008. x / y = 2.5 -----------(1) In 2009. M / 2y = 3-------------(2) where M is the total number of males in 2009. Now x = 2.5y (from (1)) and M = 6y ( from (2)) hence increased number of males in 2009 are M - x = 6y - 2.5y = 3.5y Now the increase in % of males = (change in no of males / initial number)*100 = (3.5y / x )*100 = (3.5 / 2.5)*100 = 140 (given x/y = 2.5) Hence, B is the right option.
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