84 is divided into two parts in such a way that the fourth part of the first part and the fifth part of the second are in the ratio 1 : 2. The first part is approximately what percent of the second part?
First part = x and second part = 84 – x => (x/4)/[(84-x)/5] = 1/2 ⇒ x/4 × 5/(84-x) = 1/2 ⇒ 10x = 336 - 4x ⇒ 14x = 336 ⇒ x = 24 Second part will be 84 – 24 = 60 Required percentage =(24/60) × 100 = 40%
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