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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.

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Perimeter of square field = \(\frac{cost\,of\,fencing}{rate\,of\,fencing}\)

Perimeter of square field = \(\frac{1200}{0.6}\) = 2000 m

Perimeter of square = 4 × side

Side of square = \(\frac{perimeter}{4}\) = \(\frac{2000}{4}\) = 500 m

Area of square = side2

Area of square = 500 × 500 = 250000 m2

Cost of reaping = \(\frac{250000\times 0.5}{100}\) = 1250

Cost of reaping is Rs 1250

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