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?
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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