Subject

    Bank Exam

    Topic

    জনতা ব্যাংক লিমিটেড আরসি (রুরাল ক্রেডিট) - ২৭.১০.২০২৩

    An investor earns 3% return on (1/4)thof his capital, 5% on (2/3)rdand 11% on the reminder. What is the average rate of return he earns on his total capital?

    ক)
    5%
    খ)
    5.5%
    গ)
    10%
    ঘ)
    10.5%

    Explanation

    Let, the capital be x taka Earns on 3% rate = (x/4) × 3/100 = 3x/400 Earns on 5% interest = (2x/3) × 5/100 = x/30 Remainder = x - (x/4) - (2x/3) = x{1 - (11/12)} = x/12 Earns on 11% interest = (x/12) × (11/100) = 11x/1200 Total return = (3x/400) + (x/30) + (11x/1200) = (9x + 40x + 11x)/1200 = 60x/1200 = x/20 The average rate of return he earns on his total capital = {(x/20)/x} × 100% = 5%

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