1)

The number of students studying Arts, Commerce and Science in an institute were in the ratio 6:5:3 respectively. If the number of students in Arts, Commerce and Science were increased by 10%, 30% and 15% respectively, what was the new ratio between number of students in the three streams?


A) 120 : 115 : 60

B) 110 : 100 : 70

C) 125 : 120 : 65

D) 140 : 130 : 80

E) 132 : 130 : 69

Answer:

Option E

Explanation:

Let the number of students studying Arts, Commerce and Science be $6x$, $5x$ and $3x$ respectively.

After increase the new ratio $= 6x \times \left( \frac{110}{100}\right)$ : $5x \times \left(\frac{130}{100}\right)$ : $3x \times\left(\frac{115}{100} \right)$

$= 6 \times 110$ : $5 \times 130$ : $3 \times 115$ = 132:130: 69