“Are you saved?” Something is assumed in asking that question. The assumption behind it is that without salvation a person is lost.
A good place to further our understanding of the importance of this question is Romans 1:16-18.
For I am not ashamed of the gospel of Christ, for it is the power of God to salvation for everyone who believes, for the Jew first and also for the Greek. For in it the righteousness of God is revealed from faith to faith; as it is written, "The just shall live by faith." For the wrath of God is revealed from heaven against all ungodliness and unrighteousness of men, who suppress the truth in unrighteousness.
The value of this gospel is that it is God’s power for salvation. Notice that his appreciation of salvation comes first from the conviction that men are lost and that they are all under the wrath of God ( John 3:36). Paul goes even further with it to explain that His wrath is revealed in relationship to and because of the unrighteousness of men.
We are lost because we are sinners against God and do not have a righteousness that He can accept. Enter the gospel—which is the power of God to salvation.
In the gospel of Christ, God provides a righteousness for the unrighteous. We are told that Christ has fulfilled all righteousness (Matthew 3:15: Philippians 3:9). The gospel is the revealing of that righteousness in Christ that is freely given to those who believe.
This is the good news! God provides power for the powerless. He provides salvation for the lost. He has righteousness for the unrighteous.
A second question comes up in Acts 16:31 when a Philippian jailer asked the question What shall I do to be saved? The answer was clear, simple and unmistakable: Believe on the Lord Jesus Christ and you shall be saved, you and your household. The way that Paul puts it in Romans 1 is to say It is the power of God to everyone who believes. To believe means to put all of your trust and confidence in Jesus Christ alone.
Are you believing on the Lord Jesus Christ? Are you saved?