Directions : Read the following information carefully and answer the questions.

In a college of 600 students, the ratio between boys and girls is $5: 7$ respectively. There are three subjects - Economics, Social Studies and Science only. Each student studies at least one subject.
Of the boys, 10\% study Economics only, $20 \%$ study Social studies only, $12 \%$ study Science only, $10 \%$ study both Economics and Science only, 18\% study both Science and Social Studies only and $20 \%$ study both Economics and Social Studies only. Remaining boys study all three subjects.
Of the girls, 18\% study Economics only, $10 \%$ study Social Studies only, $12 \%$ study Science only $20 \%$ study both Economics and Science only, 12\% study Science and Social Studies only and 8\% study both Economics and Social Studies only. Remaining girls study all three subjects.

What is the ratio between the number of boys and girls who study all three subjects?

(1) $5: 8$

(2) $5: 14$

(3) $3: 5$

(4) $3: 7$

(5) None of these