Question

if the cost of fencing a square field at rupees 80 paise per metre is rupees 1600 find the cost of fencing the field at 60 paise per 100 square metres​

Answer 1

Question:  If the cost of fencing a square field at 80 paise per metre  is Rs 1600 , then the cost of reaping the field at 60 paise per 100 sq metres.

Solution: Cost of fencing a square field is 80 paise per metre is Rs. 1600

So,

The total cost of fencing the square field = Rs. 1600

And the cost per metre square = Rs. 0.80

The perimeter of the field = (Total cost of fencing the square field)/(Cost per metre square)

⇒ 1600/0.8

⇒ 2000 m

A square has four sides. So, each side of square field = 2000/4 = 500 m

Area of square = side × side

⇒ 500 × 500 = 250000 m²

We have to find the cost of fencing the field at 60 paise per 100 square metres.

Therefore,

The total cost of repairing = (0.6 × 250000)/100

⇒ Rs. 1500

Answer 2

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If the cost of fencing a square field at rupees 80 paise per metre is rupees 1600 find the cost of fencing the field at 60 paise per 100 metres.

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Let each side be a metres.

Perimeter = 4a

Initial Rate = 80 Paisa per metre.

Initial Cost = Rs 1600

Perimeter = 160000/80 = 2000 m.

New rate = 60p / 100 m.

New cost = Rs 12.