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Home Aptitude Ratio and Proportion See What Others Are Saying!
  • Question
  • A man spend Rs. 810 in buying trouser at Rs. 70 each and shirt at Rs. 30 each. What will be the ratio of trouser and shirt when the maximum number of trouser is purchased ?


  • Options
  • A. 1:3
  • B. 2:1
  • C. 3:2
  • D. 2:3

  • Correct Answer
  • 3:2 

    Explanation

    Let us assume S as number of shirts and T as number of trousers
    Given that each trouser cost = Rs.70 and that of shirt = Rs.30
    Therefore, 70 T + 30 S = 810
    => 7T + 3S = 81......(1)
    T = ( 81 - 3S )/7

    We need to find the least value of S which will make (81 - 3S) divisible by 7 to get maximum value of T
    Simplifying by taking 3 as common factor i.e, 3(27-S) / 7
    In the above equation least value of S as 6 so that 27- 3S becomes divisible by 7

    Hence T = (81-3xS)/7 = (81-3x6)/7 = 63/7 = 9

    Hence for S, put T in eq(1), we get
    S = 81-7(9)/3 = 81-63 / 3 = 18/3 = 6.
    The ratio of T:S = 9:6 = 3:2.

  • Tags: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO

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