A guy buys a magazine with a 25% discount. He pays 24$. How much is the magazine without the 25% discount?

Posted on September 26th, 2009 by admin in discount magazines | 16 Comments »

please show work. i want to better understand how to solve this kind of question. thanx

$32. After the discount, the buyer is paying 75% of the list price. Algebraically, $24 = 0.75 L, where L is the list price. This is easily solved.

16 Responses

  1. rhsaunders Says:

    $32. After the discount, the buyer is paying 75% of the list price. Algebraically, $24 = 0.75 L, where L is the list price. This is easily solved.
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  2. tsr21 Says:

    x (1 – 25/100) = $24
    so (75/100) x = $24
    so (3/4) x = $24
    so x = (4/3) * $24 = $32.
    .
    You can check this is right by saying 25% of $32 is $8, and $8 off $32 will leave you with a cost of $24.
    .
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  3. keltillos Says:

    24/3=8.
    4*8=32.

    The magazine is 32$.
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  4. mark Says:

    25% is 1/4 , so $24 = 3/4 * C

    8= 1/4 * c
    32 = C
    magazine cost is $32
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  5. Jamie * Says:

    24/.75=32 you are paying 75% of the price, divide what you are paying by the real number of the %, it will give you the total.( you can substitue 3/4 for .75)
    or you could divide 24 by 3 get 8 and multiply that by 4 and get 32
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  6. Val Says:

    32$ … how i get it???

    24 / 3 = 8

    8 x 4 = 32

    … i like to use shorthands…
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  7. Warren D Says:

    Thirty two bucks. What magazine costs THAT much?

    Oh, I took 24 and divided by three and then added the result. 24 / 3 = 8/ 24+8=32.
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  8. DJ Says:

    $32
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  9. happy Says:

    24 /75 =a x100= total
    24/75=.32
    .32×100=32
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  10. Ian O Says:

    Dude , when you divide something by 25%, that means your dividing it by four. 1/4=25%;2/4=50%;3/4=75% and 4/4 or 1= to 100%.
    If the discount is 25%, then you are removing 1/4th part of your cover price. that means that 24 dollars is 3/4 of the cover price.
    24/3 = 8. ;
    24 (which is 3/4 or 75%) + 8 (which is 1/4 or 25%) equals 32 bucks.
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  11. sonu Says:

    The book was sold on 25% discount which means that the guy got at 75% of the actual selling price so this is a simple case of cross multiplication.Let me show you the calculation:

    75% = 24$
    100% = ?
    Therefore 100*24/75
    = 2400/75
    = 32$
    so the magazine without 25% discount would be 32$.
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  12. karthikthehun Says:

    cost of magazine = x
    amount given = 75% of x (because 25%discount) = 24$
    75/100 x = 24$
    x=24$*100/75
    x=32$
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  13. Pisay student Says:

    let x= original price
    x-25%=24
    24= 75%
    24+25% of x= x
    24 multiplied by 1/3= 8 because 24= 75% and 1/3 of 75% is 25%, so 100% divided by 25% is 4
    and 8 multiplied by 4= 32(x)
    Pretty complicated ha? In Philippine Science High school we do it like that.
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  14. John Michael C Says:

    x-(.25)x=24
    (.75)x=24
    x=24/.75
    x=32
    therefore, the original amount was $32.00.
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  15. emz Says:

    The original cost of the magazine is $32.
    Since 24 is the discounted price and forms 75% of the actual price. Just divide 24 by 3 then multiply the answer by 4.
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  16. tamar718 Says:

    Everyone else is basically right; I’ll just show you how I would reason it.

    A "discount" means you’re taking away some of the full price. So if P is the price, then [1P - .25P] means "the full price" minus "a percentage of the full price."

    Then you get:
    1P – .25P = $24
    .75P = $24
    P = 24/.75 = 32

    In general, once you get an answer, go back and think about if it makes sense. If the magazine on sale was $24, then you know the original price was more (who goes to a sale that jacks the price up?!). If you had gotten a number smaller than $24, then you know it would be wrong.
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