Subject

    Bank Exam

    Topic

    IFIC Bank Officer 2012

    Two bus tickets from city A to B and three tickets trom city A to C cost Tk 77 but three tickets from city A to B and two tickets from city A to C cost Tk What are the fares for cities B and C from city A?

    ক)
    Tk.4, Tk.23
    খ)
    Tk.13, Tk.17
    গ)
    Tk.l5,Tk.l4
    ঘ)
    Tk.l7,Tk.l3

    Explanation

    2*(AB) + 3*(AC) = 77 or, 6*(AB) + 9*(AC) = 231 (x 3)    ...................... (1) And, 3*(AB) + 2*(AC) = 73 or, 6*(AB) + 4*(AC) = 146  (x 2) .......................... (2) From, (1) - (2), we get, 5*(AC) = 231 - 146 = 85 or, (AC) = 85/5  = 17 tk Now, replacing the value of (AC) in eq (1), 6*(AB) + 9*17 = 231 or, 6*(AB) = 231 - 153 or, (AB) = 78/6  =13 tk

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