The ratio of students studying Arts, Commerce & Science in an institute in a particular year were in the ratio 8:5:6. If the n

Question

The ratio of students studying Arts, Commerce & Science in an institute in a particular year were in the ratio 8:5:6. If the number of students in the three disciplines increased by30 %, 20 % and 60 % respectively in the next year, what is the new respective ratio?

Peyton · Answer

Answer:   26:15:24   Step-by-step explanation:   Let the ratios be 80x , 50x and 60x     Addition of students in the :—   Arts stream = 30%  Commerce stream = 20%  Science stream = 60%     Total number of students after an year in the :—   Arts stream = 80x + 80x × 30/100 = 80x + 24x = 104x  Commerce stream = 50x + 50x × 20/100 = 50x + 10x = 60x   Science stream = 60x + 60x × 60/100 = 60x + 36x = 96x        ∴  New ratio = 104:60:96 = 26:15:24

Lydia

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