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Math Help - Solve the word problem

  1. #1
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    Solve the word problem

    The cost price of 30 tacos is equal to the selling price of 25 burritos. What is the profit percentage?
    A. 30%
    B. 25%
    C. 20%
    D. 15%
    E. 10%
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  2. #2
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    Quote Originally Posted by fcabanski View Post
    The cost price of 30 tacos is equal to the selling price of 25 burritos. What is the profit percentage?
    A. 30%
    B. 25%
    C. 20%
    D. 15%
    E. 10%
    Does taco = burrito?
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  3. #3
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    The way the solution is written, they set x as both the cost and selling price of the taco, and y as both the cost and selling price of the burrito.

    30x = 25y

    y = 6/5 * x

    Then they say the profit on one taco is 6/5*x - x = 1/5*x

    And the profit % is

    ((1/5*x)/x) * 100 = 20%

    That doesn't seem correct.
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  4. #4
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    Quote Originally Posted by fcabanski View Post
    The cost price of 30 tacos is equal to the selling price of 25 burritos. What is the profit percentage?
    A. 30%
    B. 25%
    C. 20%
    D. 15%
    E. 10%
    Hmm...

    Suggest letting a taco be the same thing as a burrito.
    Then say C = cost price of 1 taco
    and S = selling price of 1 taco. (= Cost price + P ( the profit on one taco) )

    So 30*C = 25*S = 25*( C + P)
    30*C = 25*C + 25*P
    5*C = 25*P
    C = 5*P.

    So the cost of one taco = 5 times the profit.

    Since the cost of one taco is obviously 100% of the cost of one taco, this means that the profit on one taco must be one-fifth of this, ie. 20%.

    Does that make sense?

    It seems to be that the question you were given was badly phrased...
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