Number of Students in Arts and Science faculties in an institute are in the ratio of 5 : 8 respectively. If 150 more students join Arts faculty while 80 more students join Science faculty, the respective ratio becomes 3 : 4. Originally what was the total number of students in both faculties together?
Number of Students in Arts and Science faculties in an institute are in the ratio of 5 : 8 respectively. If 150 more students join Arts faculty while 80 more students join Science faculty, the respective ratio becomes 3 : 4. Originally what was the total number of students in both faculties together?
A1100
B1294
C1370
D
None of these
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Correct answer is: None of these
Explanation:
Let the original number of students in Arts and Science faculties be 5x and 8x respectively.
According to the question,
5x+1508x+80=34
⟹24x+240=20x+600
⟹4x=360
⟹x=9
∴Original number of students = 5x + 8x = 13x
=13×90=1170
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