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The dimensions of a rectangular box are in the ratio 2:3:4 and the difference between the cost of covering it with sheet of paper at the rates of Rs. 8 and Rs. 9.50 per `m^2` is Rs. 1248. Find the dimensions of the box.

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The dimensions of a rectangular box are int he ratio of 2:3:4 and the difference between the cost of covering it with sheet of paper at the rates of Rs.8 and Rs.9.50 per m^(2) is Rs.1248. Find the dimensions of the box.

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