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Solve for S1

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BlindVision Really wants to Beat The GMAT!
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Solve for S1 Post Fri Apr 06, 2012 10:43 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    Please show me how to get the answer for S1:

    S1 = $5,850 + [10% x ($8,250 + 40% x S1)]

    S1 = $6,953.13

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    Anurag@Gurome GMAT Instructor
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    Post Fri Apr 06, 2012 10:50 pm
    BlindVision wrote:
    Please show me how to get the answer for S1:

    S1 = $5,850 = [10% x ($8,250 + 40% x S1)]

    S1 = $6,953.13
    Can you please check the equation again? S1 = $5,850 = [10% x ($8,250 + 40% x S1)]

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    BlindVision Really wants to Beat The GMAT!
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    Post Fri Apr 06, 2012 10:59 pm
    Hi Anurag... you are fast!Smile Correction was made right before you posted. Would appreciate your help. Thank you!

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    Post Fri Apr 06, 2012 11:03 pm
    S1 = 5850 + [10% x (8250 + 40% x S1)]
    S1 = 5850 + [0.1 x (8250 + 0.4S1)] [I have converted 10% in decimals as 0.1 and 40% as 0.4]
    S1 = 5850 + [825 + 0.04S1] [multiplying 0.1 with (8250 + 0.4S1)]
    S1 = 5850 + 825 + 0.04S1
    S1 - 0.04S1 = 6675
    ==> 0.96S1 = 6675
    ==> S1 = 6675/0.96
    ==> S1 = 6953.125, when rounded we get $6953.13.

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    Post Fri Apr 06, 2012 11:04 pm
    BlindVision wrote:
    Hi Anurag... you are fast!Smile Correction was made right before you posted. Would appreciate your help. Thank you!
    Cool, thanks!

    S1 = $5,850 + [10% x ($8,250 + 40% x S1)]
    10% = 10/100 = 0.1 and 40% = 40/100 = 0.4
    So, S1 = $5,850 + [0.1 x ($8,250 + 0.4 x S1)]
    S1 = $5,850 + [$825 + (0.1 *0.4 x S1)]
    S1 = $6,675 + 0.04S1
    S1 - 0.04S1 = $6,675
    S1(1 - 0.04) = $6,675
    0.96 * S1 = $6,675
    S1 = $6,675/0.96 = $6,953.125

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