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?

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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, $\frac{5x+150}{8x+80} = \frac{3}{4}$ $\implies 24x + 240 = 20x + 600$ $\implies 4x = 360$ $\implies x= 9$ $\therefore \text{Original number of students = 5x + 8x = 13x}$ $= 13 × 90 = 1170$ Nithin ? answered Aug 12 '2022 at 8:20 All Comments

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