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?Solution
First part = x and second part = 120 – x ∴(x/6)/((120 - x)/7) = 5/6 ⇒x/6× 7/(120-x) = 5/6 ⇒ 42x = 720 × 5 - 30x ⇒ 72x = 3600 ⇒x = 50 ∴ the second part will be 120 – 50 = 70 Required percentage = (70-50)/50 ×100=40%
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