How to find the base number from the total amount and percentage?

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  1. Iamsam profile image60
    Iamsamposted 13 years ago

    How to find the base number from the total amount and percentage?

    Do you have a formula for finding the base amount.
    Let me explain
    Suppose 25% of 500 is  125.
    If you add this % i.e. 500+125=625

    Now the question is, if you were given the % and total amount how can you find out the original number
    i.e. 625 and 25% how will you find out the base number 500?

    Any solution  will be highly appreciated.

    replyreport
  2. telltale profile image60
    telltaleposted 13 years ago

    625 divided by 125 times 100 will do the trick. 625 being 125% or in computers will (625/125)*100.

    replyreport
  3. arrow007 profile image61
    arrow007posted 13 years ago

    This is pretty interesting question. But I am happy I found the solution for your problem (by google search smile ).

    A = Total amount
    P = Principal amount
    R = Interest rate for a period
    T = number of periods

    P = A/(1+RT)

    So considering your example problem.
    P = 625/(1+ (0.25 * 1))
    P = 500

    This works only if the total amount is simple interest amount.

    Source: http://www.blurtit.com/q751227.html

    replyreport
  4. jacobkuttyta profile image44
    jacobkuttytaposted 13 years ago

    500 + {500 * 25/100} = 625

    Let us suppose 500= "x"  then

    X + {X * 25/100} = 625

    X + (X * 0.25)  = 625

    X + 0.25 X = 625

    1.25X  = 625

    X = 625/1.25

    X = 500

    replyreport
  5. Iamsam profile image60
    Iamsamposted 13 years ago

    Thanks all for your effort.

    thanks for taking time out to solve my problem

    replyreport
  6. mathslover profile image76
    mathsloverposted 13 years ago

    (25%* X)+ X =625
    0.25X + X= 625
    1.25X= 625

    Therefore X = 625/1.25
                        =500

    replyreport
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