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    Question

    The ratio of the breadth to the length of a rectangular field is 2:3. The total cost of cutting the grass of the field at the rate of Rs 6 per m2 is Rs. 19044. Find the cost of fencing the boundary of the field at the rate of Rs. 15 per m.

    A Rs. 3450 Correct Answer Incorrect Answer
    B Rs. 2156 Correct Answer Incorrect Answer
    C Rs. 2704 Correct Answer Incorrect Answer
    D Rs. 1040 Correct Answer Incorrect Answer
    E Rs. 2940 Correct Answer Incorrect Answer

    Solution

    Let the length and breadth of the field is 3x and 2x respectively. Area of the field = 19044/6 = 3174 m2 So, (3x × 2x) = 3174 ⇒ x2 = 529 ⇒ x = 23 Therefore, the length of the field = 3x = 69 m And the breadth of the field = 2x = 46 m Required cost = 2 × (69 + 46) × 15 = Rs. 3450

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