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A piece of clothe costes $200. …

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A piece of clothe costes $200. If the piece was 5 m longer and each meyer of cloth costed $2 less, the cost of the price would have remained unchanged. How long is the piece andcwhat is its original rate per meter?

    • Posted by Mahi Shiv 6 years, 10 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Sonam Sharma 6 years, 10 months ago

    Let the piece of cloth is x metre and it costs Rs.y/metre. Then by the given conditions - ∴, xy=200 -------------(1) and (x+5)(y-2)=200 or, xy+5y-2x-10=200 or, 200+5y-2x-10=200 or, 5y-2x-10=0 or, 5y=2x+10 or, y=(2x+10)/5 Putting in (1), x(2x+10)/5=200 or, x(2x+10)=200×5 or, 2x²+10x=1000 or, x²+5x-500=0 or, x²+25x-20x-500=0 or, x(x+25)-20(x+25)=0 or, (x+25)(x-20)=0 either, x+25=0 or, x=-25 or, x-20=0 or, x=20 Since the length of the cloth can not be negative, ∴, x=20 metre Putting in (1), 20y=200 or, y=10 ∴, the cloth is 20 m long and the original rate is Rs. 10/metre.

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