Indian Institute of Foreign Trade 2011 Solved Paper

The ratio of number of male and female journalists in a newspaper office is 5:4. The newspaper has two sections,political and sports. If 30 percent of the male journalists and 40 percent of the female journalists are covering political news, what percentage of the journalists (approx.) in the newspaper is currently involved in sports reporting?
Let '9x' be the number of total journalists in the office. Then, we can say that the number of male and female journalists are '5x' and '4x' respectively
It is given that 30 percent of the male journalists and 40 percent of the female journalists are covering political news.Hence, total number of journalists who are covering political news $=0.3\times 5\mathit{x}+0.4\times 4\mathit{x}=3.1\mathit{x}$
Therefore, the total number journalists who are covering sports news $=9\mathit{x}-3.1\mathit{x}=5.9\mathit{x}$
Hence, the percentage of the journalists in the newspaper is currently involved in sports reporting $=\frac{5.9\mathit{x}}{9\mathit{x}}\times 100\approx 65$ percent. Therefore, option A is the correct answer