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

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  1. Iamsam profile image74
    Iamsamposted 8 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.

  2. telltale profile image73
    telltaleposted 8 years ago

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

  3. arrow007 profile image60
    arrow007posted 8 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.


  4. jacobkuttyta profile image62
    jacobkuttytaposted 8 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

  5. Iamsam profile image74
    Iamsamposted 8 years ago

    Thanks all for your effort.

    thanks for taking time out to solve my problem

  6. mathslover profile image84
    mathsloverposted 8 years ago

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

    Therefore X = 625/1.25


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