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    Question

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

    sixth part of the first part and the seventh part of the second are in the ratio 5 : 6. How much percent second part is more than the first part?
    A 30% Correct Answer Incorrect Answer
    B 35% Correct Answer Incorrect Answer
    C 40% Correct Answer Incorrect Answer
    D 25% Correct Answer Incorrect Answer

    Solution

    First part = x and second part = 120 – x ⇒ (x/6)/((120 - x)/7) = 5/6 => (x/6) x {7/(120 - x)} = 5/6 ⇒ 42x = 720 × 5 - 30x ⇒ 72x = 3600 ⇒ x = 50 Second part will be 120 – 50 = 70 Required percentage = [(70 - 50)/50] x 100 = 40%

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