Question 1209424
<br>
At first Peter paid 2/3 of what Bob paid.<br>
So let 2x and 3x, respectively, be the amounts that Peter and Bob paid originally.<br>
When Peter paid $46 more, he ended up paying 4/5 of what Bob paid.<br>
So Peter paid a total of 2x+$46, which is 4/5 of the 3x that Bob paid:<br>
{{{2x+46=(4/5)3x}}}
{{{10x+230=12x}}}
{{{2x=230}}}
{{{x=115}}}<br>
Originally, Peter paid 2x = $230 and Bob paid 3x = $345.  Then Peter paid $46 more, for a total of $230+$46 = $276.<br>
The cost of the present was then $276 + $345 = $621.<br>
ANSWER: $621<br>