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Solve for S1

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by Anurag@Gurome » Fri Apr 06, 2012 9:50 pm
BlindVision wrote:Please show me how to get the answer for S1:

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

S1 = [spoiler]$6,953.13[/spoiler]
Can you please check the equation again? S1 = $5,850 = [10% x ($8,250 + 40% x S1)]
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by BlindVision » Fri Apr 06, 2012 9:59 pm
Hi Anurag... you are fast!:-) Correction was made right before you posted. Would appreciate your help. Thank you!
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by gmatmath » Fri Apr 06, 2012 10:03 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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by Anurag@Gurome » Fri Apr 06, 2012 10:04 pm
BlindVision wrote:Hi Anurag... you are fast!:-) 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 = [spoiler]$6,953.125[/spoiler]
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