EVM questions

1. A report from the accounting department shows that the total costs up to today for the project have been 530 000€. Fred is concerned, because the baseline shows that 450 000€ had been planned up until today. The project controller, Stacy, shows him that the work actually done, had been planned to cost 510 000€. The whole project budget is 1 250 000 €. Which of the following is true?
2. A 20000€ increase of your budget, from the original 90000€, has been approved by your sponsor. This was due to an acknowledgment that your key vendor has encountered significant cost increases due to a defect in the original plans. This defect has already meant that you have spent 45000€ even though you are only 40% complete. What is your Percent Spent?
3. A 20000€ increase of your budget, from the original 90000€, has been approved by your sponsor. This was due to an acknowledgment that your key vendor has encountered significant cost increases due to a defect in the original plans. This defect has already meant that you have spent 45000€ even though you are only 40% complete. What is your TCPI?
4. Your estimated six month project is now completing its third month. Your total budget (BAC) is 150000€. You have spent 75000€ and completed work estimated to be worth 60000€. Your sponsor seems happy and declares that the project is 50% complete. Is he right?
5. EVM is useful for a project in order to understand its status, and to plan the future.