720 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?
First part = x and second part = 720 – x = (x/6)/((720 - x)/7) = 5/6 => x/6 x 7/(720 - x) = 5/6 ⇒ 42x = 21600 - 30x ⇒ 72x = 21600 ⇒ x = 300 Second part will be 720 – 300 = 420 Required percentage = (420 - 300)/300 x 100 = 40%
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