Problem is, the partial rapture theory is contradicted in other passages.
This explains that an how it relates to Matthew 25:
Since this parable deals with the future nation of Israel (likely the current nation of Israel that exists today), this is not a passage that comes into play concerning the rapture. This means that the parable of the ten virgins does not support the notion of a partial rapture position, which has been argued from this, as well as other passages (Matthew 24:40-51; Mark 13:33-37; Luke 20:34-36; 21:36; Philippians 3:10-12; 1 Thessalonians 5:6; 2 Timothy 4:8; Titus 2:13; Hebrews 9:24-28; Revelation 3:3, 10; 12:1-6). This view teaches that the rapture occurs before the tribulation, but only "spiritual" Christians will be taken, while other Christians will remain through the tribulation. They also believe that multiple raptures will occur throughout the seven-year tribulation period. This view is thought to have been developed by Robert Govett in the mid-nineteenth century in England, and held mainly by British advocates such as J. A. Seiss, G. H. Lang and G. H. Pember. 4
Since this passage, by and large, is not thought to relate to the rapture by pretribulationists because it contextually refers to Israel, it is even harder to make a case for a partial rapture. "We shrink from the partial rapture idea because other passages seem plainly to suggest that every member of the body of Christ will be caught up (1 Thessalonians 4:16-17; 1 Corinthians 15:51-58, etc.)," notes Randolph Yeager. "Partial rapture would seem to imply rupture in the Body of Christ." 5 Quite frankly, the same grace that saves each believer is the grace that will take one out at the rapture. One does not have qualify through their own works or reach a certain level of sanctification to be taken at the rapture. Qualification for being taken in the rapture is not a reward for faithfulness, but like salvation itself is a free gift. One's name is added to "the rapture manifest" when their name is added to the roll the moment one trusts Christ as his Savior. Even if a believer does not believe in the pretribulational rapture, they will be taken anyway if they are indeed a believer. I am sure some will be taken by surprise, and perhaps some kicking and screaming but they will be taken nevertheless.
Partial rapturists say that this parable pictures the part of the church that is watching and waiting for the Lord's return as the five wise virgins who had oil and the carnal church who is left behind as the five foolish virgins. This they believe supports the notion of the partial rapture theory.
There are major problems with anyone's attempt to apply this parable to the church to begin with, since Israel is in view. Further, the imagery does not match up with what should be if this were actually teaching a partial rapture doctrine. The imagery used in the parable of the ten virgins does not comport with that used of the church in other New Testament passages. "The passage itself uses none of the characteristic terms relating to the church, such as bride, body, or the expression in Christ," 6 notes John Walvoord. Instead we see that the ten virgins are merely bridesmaids who would be attending at a wedding and not brides themselves. Were this portraying in some way the church, then these virgins would need to be portrayed as brides who were waiting upon their bridegroom, which would be Christ. This is not what is found in the passage. Dr. Walvoord further explains in the following:
"If watchfulness is necessary for worthiness, as partial rapturists characteristically argue, then none of the ten virgins qualify for "they all became drowsy and fell asleep." The command to "watch" in Matthew 25:13 has, then, the specific meaning of being prepared with oilbeing genuinely regenerated and indwelt by the Spirit rather than having unusual spirituality. The clear teaching is that "watching" is not enough. This passage will serve to refute the partial rapturists instead of sustaining their viewpoint. Only by the power and presence of the Holy Spirit can one be qualified for entrance into the wedding feast, but all the wise virgins enter the feast."