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Math Help - Please Help!!

  1. #1
    Newbie
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    Dec 2005
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    Please Help!!

    Hey guys please help me solve these four questions.

    Question 1:
    On 2 May 2000, a man borrowed a sum of money from a bank at 6.5% p.a. simple interest and on 2 September 2000, the interest amounted to $137.50. Calculate the amount of money he borrowed.

    Question 2:
    A fish merchant bought a container of fish for $36,000. He sold 1/2 of the fish at a profit of 20% and 1/6 of it at a loss of 10%. At what price must he sell the remaining fish in order to make a profit of 15% on the whole?

    Question 3:
    (a) A garrision has enough food to last for 24 days. How much longer will the food last if each individual ration can be reduced by 20%?

    (b) By how much will each individual ration have to be reduced if hte food is to last 40 days?


    Question 4:
    A scouts' camp has enough food for 36 days. How long will the food last if each scout's ration is reduced in the ration 4:5?

    Thanks!
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  2. #2
    MHF Contributor Quick's Avatar
    Joined
    May 2006
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    New England
    Posts
    1,024
    Quote Originally Posted by laser2302
    Hey guys please help me solve these four questions.

    ------------------------------------------------------------------------

    Question 2:
    A fish merchant bought a container of fish for $36,000. He sold 1/2 of the fish at a profit of 20% and 1/6 of it at a loss of 10%. At what price must he sell the remaining fish in order to make a profit of 15% on the whole?
    He has $36,000 worth of fish, he sells half 36000\div2=13000 at a 20% profit, 13000\times0.2=3600

    He has $36,000 worth of fish, he sells a sixth 36000\div6=6000 at a 10% loss, 6000\times -0.1=-600=

    So now we see how much profit he has so far 3600-600=3000

    So now we see how much profit he wants  36000\times0.15=5400

    So now we see how much more profit he needs to match his goal 5400-3000=2400

    Now we find out how much his remaining fish are worth 36000\times\left(1-\frac{1}{2}-\frac{1}{6}\right)=36000\times\frac{1}{3}=12000

    Now we divide the amount more he wants by the amount he has left 2400\div12000=0.2

    so he must sell the remaining fish at 20% profit
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