Percentage of income problem

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A family paid 12 percent of its annual after-tax income on food last year. This amount was equal to 10 percent of its annual before-tax income last year. Which of the following is closest to the percent of the family's annual before-tax income that was paid for taxes last year?



A. 8%
B. 12%
C. 17%
D. 20%
E. 25%



My thoughts are set the after-tax income as x and before-tax income as y, then 0.12x = 0.10y, meaning y = 1.2x. And here is where I got stuck, please help me with this problem.







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  • HINT: $y-x=t$ where $t$ represents tax paid, you want to calculate $$frac tx$$
    – WW1
    Aug 10 at 23:54















up vote
0
down vote

favorite












A family paid 12 percent of its annual after-tax income on food last year. This amount was equal to 10 percent of its annual before-tax income last year. Which of the following is closest to the percent of the family's annual before-tax income that was paid for taxes last year?



A. 8%
B. 12%
C. 17%
D. 20%
E. 25%



My thoughts are set the after-tax income as x and before-tax income as y, then 0.12x = 0.10y, meaning y = 1.2x. And here is where I got stuck, please help me with this problem.







share|cite|improve this question






















  • HINT: $y-x=t$ where $t$ represents tax paid, you want to calculate $$frac tx$$
    – WW1
    Aug 10 at 23:54













up vote
0
down vote

favorite









up vote
0
down vote

favorite











A family paid 12 percent of its annual after-tax income on food last year. This amount was equal to 10 percent of its annual before-tax income last year. Which of the following is closest to the percent of the family's annual before-tax income that was paid for taxes last year?



A. 8%
B. 12%
C. 17%
D. 20%
E. 25%



My thoughts are set the after-tax income as x and before-tax income as y, then 0.12x = 0.10y, meaning y = 1.2x. And here is where I got stuck, please help me with this problem.







share|cite|improve this question














A family paid 12 percent of its annual after-tax income on food last year. This amount was equal to 10 percent of its annual before-tax income last year. Which of the following is closest to the percent of the family's annual before-tax income that was paid for taxes last year?



A. 8%
B. 12%
C. 17%
D. 20%
E. 25%



My thoughts are set the after-tax income as x and before-tax income as y, then 0.12x = 0.10y, meaning y = 1.2x. And here is where I got stuck, please help me with this problem.









share|cite|improve this question













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edited Aug 11 at 0:15









David G. Stork

7,8762930




7,8762930










asked Aug 10 at 23:42









Hina

333




333











  • HINT: $y-x=t$ where $t$ represents tax paid, you want to calculate $$frac tx$$
    – WW1
    Aug 10 at 23:54

















  • HINT: $y-x=t$ where $t$ represents tax paid, you want to calculate $$frac tx$$
    – WW1
    Aug 10 at 23:54
















HINT: $y-x=t$ where $t$ represents tax paid, you want to calculate $$frac tx$$
– WW1
Aug 10 at 23:54





HINT: $y-x=t$ where $t$ represents tax paid, you want to calculate $$frac tx$$
– WW1
Aug 10 at 23:54











1 Answer
1






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oldest

votes

















up vote
1
down vote



accepted










Let $a$ be the after-tax income. Then



$$frac12100a$$



is the after-tax income spent on food.



Let $b$ be the before-tax income. Then



$$frac10100b=frac12100a.$$



You need to find



$$1-fracab.$$






share|cite|improve this answer




















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    1 Answer
    1






    active

    oldest

    votes








    1 Answer
    1






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes








    up vote
    1
    down vote



    accepted










    Let $a$ be the after-tax income. Then



    $$frac12100a$$



    is the after-tax income spent on food.



    Let $b$ be the before-tax income. Then



    $$frac10100b=frac12100a.$$



    You need to find



    $$1-fracab.$$






    share|cite|improve this answer
























      up vote
      1
      down vote



      accepted










      Let $a$ be the after-tax income. Then



      $$frac12100a$$



      is the after-tax income spent on food.



      Let $b$ be the before-tax income. Then



      $$frac10100b=frac12100a.$$



      You need to find



      $$1-fracab.$$






      share|cite|improve this answer






















        up vote
        1
        down vote



        accepted







        up vote
        1
        down vote



        accepted






        Let $a$ be the after-tax income. Then



        $$frac12100a$$



        is the after-tax income spent on food.



        Let $b$ be the before-tax income. Then



        $$frac10100b=frac12100a.$$



        You need to find



        $$1-fracab.$$






        share|cite|improve this answer












        Let $a$ be the after-tax income. Then



        $$frac12100a$$



        is the after-tax income spent on food.



        Let $b$ be the before-tax income. Then



        $$frac10100b=frac12100a.$$



        You need to find



        $$1-fracab.$$







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered Aug 10 at 23:51









        Cleric

        3,06632463




        3,06632463






















             

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