Subject

    Bank Exam

    Topic

    Uttara Bank Ltd – Probationary Officer - 2017

    If 20% of A = 30% of B =1/6 of C, then A : B : C is

    ক)
    2 : 3 : 16
    খ)
    3 : 2 : 16
    গ)
    10 : 15 : 18
    ঘ)
    15 : 10 : 18

    Explanation

    Solution: দেওয়া আছে, 20% of A = 30% of B => 20A100=30B100\frac{{20A}}{{100}} = \frac{{30B}}{{100}} => 20A = 30B => AB=3020=32\frac{A}{B} = \frac{{30}}{{20}} = \frac{3}{2} => A : B = 3 : 2 আবার, 30% of B = 1/6 of C => 30B100=C6\frac{{30B}}{{100}} = \frac{C}{6} => 3B10=C6\frac{{3B}}{{10}} = \frac{C}{6} => 3B5=C3\frac{{3B}}{5} = \frac{C}{3}       [ 2 দ্বারা গুণ করে ] => BC=53×3\frac{B}{C} = \frac{5}{{3 \times 3}} B : C = 5 : 9 অতএব, আমরা পেলাম, A : B = 3 : 2 ................ (1) এবং  B : C = 5 : 9 ................................... (2) (1) নং কে 5 এবং (2) নং 2 দ্বারা গুণ করে পাই, A : B = 15 : 10 এবং B : C = 10 : 18 অতএব,  A : B : C = 15 : 10 : 18

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