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GATE Mechanical 2020 Set 2 | GA Question: 10

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The two pie-charts given below show the data of total students and only girls registered in different streams in a university. If the total number of students registered in the university is $5000$, and the total number of the registered girls is $1500$; then, the ratio of boys enrolled in Arts to the girls enrolled in Management is ___________

 

  1. $2:1$
  2. $9:22$
  3. $11:9$
  4. $22:9$
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Given that, the total number of students registered in the university is $5000$, and the total number of the registered girls is $1500$. 

  • Number of boys enrolled in Arts $ = (5000 \times 20\%) – (1500 \times 30\%) = 1000 – 450 = 550.$
  • Number of girls enrolled in Management $ =  1500 \times 15\% = 225.$

Now, the required ratio $ = 550:225 = 110:45 = 22:9.$ 

So, the correct answer is $(D).$

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