Subject

    Quantitative Aptitude

    Topic

    Solution

    50 g of an alloy of gold and silver contains 80% gold(by weight). The quantity of gold, that is to be mixedup with this alloy, so that it may contain 95% gold is?

    ক)
    10 g
    খ)
    50 g
    গ)
    150 g
    ঘ)
    200 g

    Explanation

    In 50 g alloy gold Quantity = 50 × 80/100 = 40 g Suppose, In this mixture x g gold added then, (40+x)/(50+X)=95/100 ⇒ 100 (40+ x) = 95 (50 + x) ⇒ 4000 + 100x = 4750 +95x ⇒ 100x - 95x = 4750-4000 ⇒ 5x = 750 ⇒ x = 150 so, 150 g gold added to the alloy.

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