1. There are two roads from town A to town B. One of them is 7.5% of itself longer than the other. If the longer road is 430 meters long find the length of the shorter road?

Let the length of the shorter road = x metresNow, length of the longer road = x + 7.5% of xSo, x + 7.5% of x= 430x + 7.5100×x = 430x + 3x40 = 43043x40 = 430x = 400So, length of shorter road = 400 m

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