A school has enrolments in science, commerce and humanities streams in ratio 5:7:8. During online classes they increased the enrolments by 40%, 50% and 75% respectively. The ratio of enrolment in online classes are?
Answers
Solution :-
given that, Ratio of enrolments in
→ Science : Commerce : Humanities = 5 : 7 : 8
So, let total enrolments in science , commerce and humanities streams are 500x , 700x and 800x respectively .
then,
→ Total Enrolments in science = 500x
→ Increased = 40%
→ New total enrolments in science = (500x * 140)/100 = 700x
similarly,
→ Total Enrolments in commerce = 700x
→ Increased = 50%
→ New total enrolments in commerce = (700x * 150)/100 = 1050x
similarly,
→ Total Enrolments in humanities = 800x
→ Increased = 75%
→ New total enrolments in humanities = (800x * 175)/100 = 1400x
therefore,
→ Required ratio = 700x : 1050x : 1400x
→ Required ratio = 70 : 105 : 140
→ Required ratio = 14 : 21 : 28
→ Required ratio = 2 : 3 : 4 (Ans.)
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