(a) Anil changes $830 into euros when the exchange rate is 1 euro =\$ 1.16 He spends 500 euros.
He then changes the remaining money back into dollars at the same exchange rate.
Work out how much, in dollars, Anil receives
Anil initially changes $830 into euros, so he receives 830 / 1.16 = <<830/1.16=715.52>>715.52 euros.
After spending 500 euros, Anil has 715.52 - 500 = <<715.52-500=215.52>>215.52 euros remaining.
Anil then changes the remaining money back into dollars, so he receives 215.52 * 1.16 = $<<215.52*1.16=249.8592>>249.8592. Answer: \boxed{249.86}.