A rectangular plot has its length and width in the ratio 5:3. If the owner spends Rs 3000 to fence the entire plot at a cost of Rs 7.50 per meter, what is the difference between the length and the width of the plot?

Explanation

Let the length be 5x meters and the width be 3x meters. The perimeter is 2 × (5x + 3x) = 16x meters. The total fencing cost is Rs 3000 at Rs 7.50 per meter, so the perimeter equals 3000 ÷ 7.50 = 400 meters. Setting 16x = 400 gives x = 25. Therefore, the difference between length and width is (5x - 3x) = 2x = 2 × 25 = 50 meters.