Subject

    Quantitative Aptitude

    Topic

    Ratio

    In what ratio must  a grocer mix two varieties of tea worth Tk. 60 a kg and Tk. 65 a kg so that by selling the mixture at Tk. 20 a kg he may gain 10%?

    ক)
    3 : 2
    খ)
    3 : 4
    গ)
    3 : 5
    ঘ)
    4 : 5

    Explanation

    Let he mixes the tea in ratio x : y  Therefore the cost price = 60x + 65y and the selling price = 68.20(x + y) Profit = SP - CP So 10/100 (60x + 65y) = 68.20(x + y) - (60x + 65y) or 6x + 6.5y = 8.20x + 3.20y 2.2x = 3.3y  x/y = 3:2

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