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Math Help - find cost price

  1. #1
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    find cost price

    a man sells an article at a profit of 25%.if he had bought it at 20% less and sold it for the amount 10.50 less,he would have gained 30%.find the cost price of article?
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  2. #2
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    Hello,

    Quote Originally Posted by hena View Post
    a man sells an article at a profit of 25%.if he had bought it at 20% less and sold it for the amount 10.50 less,he would have gained 30%.find the cost price of article?
    Let X be the cost price of the article, and let Y be the price he sells the article the first time.


    1st sentence
    Making a profit of 25% is like selling it to 1.25 times the cost price.

    So \boxed{Y=1.25 ~X}


    2nd sentence
    If he had bought it 20% less, it means that the cost price becomes 0.80 ~X
    If he sells it for the amount 10.50 less, this means that he sells it at the price Y-10.50

    While doing this, he makes a profit of 30%. So reasoning just as before, we get :

    \boxed{(0.80 ~\cdot X) ~\cdot 1.30=Y-10.50}



    Now, solve for X
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  3. #3
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    plz help

    am not getting aproper value of x...
    plz help me out..
    the option they gave me is
    55,45,50,60
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  4. #4
    Moo
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    Quote Originally Posted by hena View Post
    am not getting aproper value of x...
    plz help me out..
    the option they gave me is
    55,45,50,60
    Well, I get 50...

    Y=1.25 X

    Substituting in (0.80 ~\cdot X) ~\cdot 1.30=Y-10.50 :

    (0.80 ~\cdot X) ~\cdot 1.30=1.25 X-10.50

    0.8*1.3=1.04

    1.04 X=1.25 X-10.50

    0.21 X=10.50
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