Question

    The cost of levelling a square field @ Rs.32 per

    sq. metre is Rs.2,88,800. Field is to be fenced and also 2 metres broad pathway is to be constructed around the field on the inside What would be the total cost of fencing and constructing the pathway if the cost of fencing and constructing the pathway is Rs.14 per metre and Rs.78 per sq. meter ?
    A Rs. 63,532 Correct Answer Incorrect Answer
    B Rs. 63,235 Correct Answer Incorrect Answer
    C Rs. 62,335 Correct Answer Incorrect Answer
    D Rs. 63,352 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Area of the square field leveled = `288800/32` = 9,025 m² ∴ Side of the sq field = `sqrt9025` [if gte msEquation 12]> 9025 [if !msEquation]-->[endif]--> = 95 m ∴ Perimeter of the sq field ` ` ` ` = 4 x 95 = 380 m ∴ Cost of fencing = 380 x 14 = Rs. 5,320 Side of the field without the pathway = 91m ∴ Area of the field without the pathway = 91² = 8281m² ∴ Area of the path = 9025 - 8281 = 744 m² ∴ Cost of constructing the pathway = 744 x 78 = Rs.58,032 ∴ Total cost = 5,320 + 58,032 = Rs. 63,352

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