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    Question

    84 is divided into two parts in such a way that the

    fourth part of the first part and the fifth part of the second are in the ratio 1 : 2. The first part is approximately what percent of the second part?
    A 40% Correct Answer Incorrect Answer
    B 45% Correct Answer Incorrect Answer
    C 49% Correct Answer Incorrect Answer
    D 32% Correct Answer Incorrect Answer

    Solution

    First part = x  and second part = 84 – x  = `(x/4)/((84-x)/5) = 1/2` ⇒`x/4xx5/(84-x)= 1/2` ⇒ 10x  = 336 - 4x ⇒ 14x  = 336 ⇒x  = 24 Second part will be 84 – 24 = 60 Required percentage = `24/60xx100 = 40%`

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