Question

The cost of fencing a square field at $60$ paise per metre is $Rs.1200$. Find the cost of reaping the field at the rate of $50$ paise per $100$ sq. metres.

Answer 1

Given: Cost of fencing $1$ metre of a square field $=60$ paise. And, the total cost of fencing the entire field $=Rs.1200=1,20,000$ paise
Therefore, Perimeter of the square field $=\frac{120000}{60}=2000$ metres.
Now, perimeter of a square $=4\times$side
For the given square field: $4\times Side=2000m$
$\Rightarrow$ Side$=\frac{2000}{4}=500$ metres
Therefore, Area of the square field $=500\times 500$
$=250000m^2$
Again, given: Cost of reaping per $100m^2=50$ paise
Therefore, Cost of reaping per $1m^2=\frac{50}{100}$paise
Thus, Cost of reaping $250000m^2=\frac{50}{100}\times 250000$
$=125000$ paise.
Thus, the total cost of reaping the complete square field is $125000$ paise,
i.e. $Rs1250.$