180 is divided into two parts in such a way that the fifth part of the first part and the fourth part of the second are in the ratio 4:5. Second part is how much percent of the first part?
First part = x and second part = 180 – x ∴(x/5)/((180 - x)/4) = 4/5 ⇒x/5 × 4/(180-x) = 4/5 ⇒ 20x = 3600 - 20x ⇒ 40x = 3600 ⇒x = 90 ∴ Required percentage = 90/90 ×100=100%
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