2013 · Q40
In a class, 40 students passed in Mathematics, 50% of the students passed in English, 5% of the students failed in Mathematics and English and 25% of the students passed in both the subjects. What is the ratio of the number of students who passed in English to that in Mathematics?
general-mental-abilityquantitative-aptitude
- A1 : 1
- B2 : 3
- C5 : 7
- D10 : 9
Explanation
Let total = T. Passed at least one = 95% of T = 0.95T = Maths (40) + English (0.5T) − both (0.25T) = 40 + 0.25T, so 0.7T = 40 and T = 400/7. Ratio of English pass to Maths pass = 0.5T/40 = (200/7)/40 = 5/7, i.e. 5:7.