Read the following information carefully and answer the given questions.
In a College P there are 19,000 students. They know different languages like Japanese. Korean and Latin. Ratio of males and females is 9 : 11. 14% of males know only Japanese. 12% know only Korean. 20% know only Latin. 16% know only Korean and Japanese. 22% know only Korean and Latin. 8% know only Japanese and Latin. Remaining boys know all the languages. 22% females know only Japanese. 18% know only Korean. 20% know only Latin. 12% know only Japanese and Korean. 16% know only Korean and Latin. 10% know only Japanese and Latin. Remaining females know all the languages.
What is the ratio between the number of male students who know only Japanese and Korean and that of female students who know only these langugaes?
Total students in college P = 19000
Total males = $$\frac{9}{20} \times 19000 = 8550$$
=> Females = $$19000 - 8550 = 10450$$
Males who know all the three languages = $$100 - (14+16+12+8+22+20) = 8 \%$$
Similarly, females who knows who all three languages = $$2 \%$$
Numbers given in the venn diagram are percentages.
Male students who know only Japanese and Korean = $$\frac{16}{100} \times 8550 = 1368$$
Female students who know only Japanese and Korean = $$\frac{12}{100} \times 10450 = 1254$$
=> Required ratio = $$\frac{1368}{1254} = 228 : 209$$
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