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    Respective ratio between total number of students studying in college A and College B is 5 : 8. In College B, out of the total number of students, 5/8th are boys, out of which 60% study Commerce and the remaining 800 boys study in other streams. What is the total number of students in College A

  • 1500
  • 2500
  • 1200
  • 4000
  • 2000
  • Explanation:

    Let the total number of students in college A = 5x

    and the total number of students in college B = 8x

    total number of boys in college B = 8x×5/8=5x

    In college B, number of boys who study commerce

    and science = 5x×60/100=3x

    Remaining boys = 5x-3x=2x

    According to question,

    2x=800

    x=400

    ∴ Total number of students in college A = 5×400

    =2000