The sides of a right triangular field are in the ratio $5 : 3 : 4$ and its perimeter is $180$ m. Find the c ost of levelling the field at the rate of Rs. $10$ per square metre.

Given the perimeter of the 5:3:4 ratio triangle is 180 m, the common multiplier is 180 / 12 = 15, making the sides 75 m, 45 m, and 60 m. The triangle is a right triangle with a base of 45 m and height of 60 m, so using the area formula Area = 0.5 x 45 x 60 gives an area of 1350 square meters. Multiplying this area by the levelling rate of Rs. 10 gives 1350 x 10 = Rs. 13,500. The result is Rs. 13,500.

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