Answer:
A) increased.
Explanation:
If the CPI overstates the inflation rate, it means that the CPI is higher than the inflation rate. If the CPI = 5%, then the inflation rate must be lower than 5%. If the household incomes increased by 5%, then the real income (nominal income discounted by inflation rate) should have increased.
For example, the inflation rate is lower than 5%, so lets say it is 4%. Then the real income increased by: 5% / 4% = 1.25% - 1% = 0.25%