Question

1) The cost of constructing a path 5 m broad inside the boundary of a square lawn at Rs 36.25 per sq. metre is Rs 90625. What is the cost of covering the empty space with turfs at the rate of Rs 20 per sq. metre?​

Answer 1

Let , side lawn is a.

Area of boundary is :

$A=4\times5\times a\\\\A=20a\ m^2$

Now, total cost is given by :

$T=20a\times 36.25\\\\90625=725a\\\\a=125\ m$

Area left is :

$A'=a^2-20a\\\\A'=125^2-20\times 125\ m^2\\\\A'=13125\ m^2$

Price to empty space with turfs is :

$P=A'\times 20\\\\P=13125\times 20\\\\P=262500$

Therefore, the cost of covering the empty space with turfs at the rate of Rs 20 per sq. metre is Rs 262500.

Hence, this is the required solution.