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  • Question
  • If the selling price of a mat is five times the discount offered and if the percentage of discount is equal to the percentage profit, find the ratio of the discount offered to the cost price.


  • Options
  • A. 6:31
  • B. 11:30
  • C. 7:30
  • D. 31:6

  • Correct Answer
  • 7:30 

    Explanation

    Since S.P. = 5 (M.P. - S.P.) => 5 M.P. = 6 S.P.
    M.P. = (6/5) S.P.
    Since the percentage discount = Percentage profit,
    6 5 S . P   -   S . P 6 5 S . P × 100   =   S . P   - C . P C . P × 100
    Therefore, 1/6 = (S.P/C.P) ? 1 => S.P = (7/6) C.P
    M.P = 6/5 S.P = 6/5 x 7/6 C.P = 7/5 C.P
    Therefore, Ratio of discount to C.P
    = (M.P ? S.P)/C.P = [{(7/5)C.P - (7/6)C.P} / C.P.]
    = 7/30

     

    Therefore, the ratio is 7 : 30

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

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