Saturday, June 4, 2011

Contest #8

Jack has two bank accounts that total $1,041.50. The first bank account has 35.1% less money than the second bank account.

What is the difference between the first and second bank account?


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Solution to Contest #7

Jack bought 120 shares of ABC Banking for $12.27 each. He sold the shares 90 days later for 21.48% more than he paid. When he held the shares, ABC Bank paid a dividend of $0.55 per share. Brokerage fees are $25 or 0.5% of transaction amount, whichever is higher.

How much profit did Jack make with this investment?

Original Investment

Share Investment = 120 x $12.27 = $1,472.40

Brokerage Fees = $1,472.40 x 0.005 = $7.36. Since this was less than $25.00, the $25.00 fee was charged.

Total Investment = $1,472.40 + $25.00 = $1,497.40


Proceeds of Sale

Share price at sale = $12.27 x 1.2148 = $14.91


Total Sale Proceeds = $14.91 x 120 = $1,789.20


Brokerage Fees = $1,789.20 x 0.005 = $8.95. Since this was less than $25.00, the $25.00 fee was charged.


Total Proceeds of Sales = $1,789.20 - $25.00 = $1,764.20


Gain on Sales = $1,764.20 - $1,497.40 = $266.80

Dividends Paid = 120 x $0.55 = $66.00

Total Profit = $266.80 + $66.00 = $332.80