The nearest drama I could think of, plot wise, is Hateful but Once Again. and Cheongdamdog Alice. in both cases, FL and ML get into a relationship, the ML seem to be in love and genuinely believes they are a love match, but unbeknowst to him, FL has some ulterior motive in dating him. The FL does end up liking the ML, but their love is cut short because the secret about their dating life get revealed.
Here are some more specific description of the drama though the reason of dating the ML is not really to occupy their tiime... and also the actions and consequences after is not really the same. also beware these are huge spoilers:
in Hateful and Once Again, FL is not really in love with someone else, but she does decide to pursue or date him despite hating his guts because of some agreement she has with his mother. ML's mother planned for FL to be the girl his sons marries, while the FL refused to be involved with the chaebol jerk. mother of ML blackmails FL, and after so many things happening the FL finally gives in and the backdoor arranged marriage with such dark twisty scheming plot start.
They then plot for ML to fall for FL, and they date. And slowly the FL also does fall for ML, especially since he changed from being a jerk to being devoted to hear. But then ML learns of the backdoor agreement and he becomes angry. FL wanted to stay by MLs side and wait for him but then she finds out about some dark secret about the past so she decides that their circumstances are too much to handle and finally gives in to the break up. But then ML gets afraid to lose her and he tries to hold on again .
So this is a very windy and twisty drama so a lot has happened, but the ending is with the leads having their happily ever after
in Cheongdamdong Alice, FL does like someone (I think)but it really doesn't have any big impact on the story and her life. The FL is an ordinary girl who aspire to live a very upright life, until something all her pride and belief gets shattered. Thus she decides to pursue money through landing herself a rich husband. This gets her to cross paths the ML who is a young CEO, and she does pursue him. He falls for her since she seemed to be his ideal man, which is largely orchestrated. And they get together, but soon it is revealed that she pursued him because of money and he is hurt and they break it off.
And then, I am not so familiar with what happened after, mainly because its been so looooooong since I saw this drama. So its all pretty hazy in my memory.
But they do get their happy ending, I think