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Math Help - Percentage Problems

  1. #1
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    Percentage Problems

    Hi i have three percentage problems that i am having trouble with. They go as follows:
    1. An employee of a consulting firm received a 4% raise in 2004 and a 2.3%
    merit increase at the end of 2004. She now earns $2670.82 per month. What
    was her monthly wage before the 2003 increase?

    2. After selling their house and paying a commission of 5.00%, the owners
    received $228,950. What was the actual selling price of the house?

    3. 175 ml of pure salt is added to 300 ml of a 23% saline solution. What is the
    new percent of salt in the solution?

    I have the answer but i wasn't sure about the work i did because i sort deviated from what my teacher taught me which was to use the formula A=RT (where A= amount, R=rate, T=total)
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  2. #2
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    Quote Originally Posted by ogglock View Post
    Hi i have three percentage problems that i am having trouble with. They go as follows:
    1. An employee of a consulting firm received a 4% raise in 2004
    3003? [/quote] and a 2.3% merit increase at the end of 2004. She now earns $2670.82 per month. What
    was her monthly wage before the 2003 increase?[/quote]
    Let "m" be her monthly wage before the 2003 increase. A 4% raise would be .04m so here monthly wage after the increase is m+ .04m= 1.04m. The 2.3% in 2004 is 2.3% of that and so is .023(1.04m). Her monthly wage after that increase is 1.04m+ .023(1.04m)= 2670.82. Solve that for m.

    2. After selling their house and paying a commission of 5.00%, the owners
    received $228,950. What was the actual selling price of the house?
    Let the selling price be "p". The commission is .05p. After paying that she received p- .05p= .95p= 228950. Solve for p.

    3. 175 ml of pure salt is added to 300 ml of a 23% saline solution. What is the
    new percent of salt in the solution?
    Originally, there was .23(300) ml of salt in the solution. Adding 175 ml of salt increases it to .23(300)+ 175 ml. Since the salt dissolves completely, it does NOT increase the volume of the solution. The new percentage is (.23(300)+ 175)/300.

    I have the answer but i wasn't sure about the work i did because i sort deviated from what my teacher taught me which was to use the formula A=RT (where A= amount, R=rate, T=total)
    Then why not show us what work you did?
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  3. #3
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    Quote Originally Posted by ogglock View Post
    Hi i have three percentage problems that i am having trouble with. They go as follows:
    1. An employee of a consulting firm received a 4% raise in 2004 and a 2.3%
    merit increase at the end of 2004. She now earns $2670.82 per month. What
    was her monthly wage before the 2003 increase?

    2. After selling their house and paying a commission of 5.00%, the owners
    received $228,950. What was the actual selling price of the house?

    3. 175 ml of pure salt is added to 300 ml of a 23% saline solution. What is the
    new percent of salt in the solution?

    I have the answer but i wasn't sure about the work i did because i sort deviated from what my teacher taught me which was to use the formula A=RT (where A= amount, R=rate, T=total)
    The scientific answer to problem 3 is 26.5% by wt. @ 25 deg C because enough salt is being added to saturate the solution



    bjh
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