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It will be more easier to explain the difference if presented in the sentence. If you have the specific sentence and confused which word used for which sentence, just ask :)

UNTUK is a preposition to express: 1. Reveicer, Intended to belong to. (e.g. Kado ini untuk kamu.) 2. Reason (e.g. Untuk mengisi liburan, dia jalan-jalan ke pantai.) 3. Goals or Purpuse (e.g. Ruangan ini untuk pekerjaan bersih, ruangan itu untuk pekerjaan kotor.) 4. Length of time (e.g. Untuk beberapa saat dia terdiam.) 5. Arrangement (e.g. Agendakan pertemuan dengan klien untuk minggu depan) 6. On behalf to. (e.g. Saya mengerjakan tugas-tugas ini untuk dia) AGAR is a conjunctive to express effect, expectation of something, goal, use between cause-effect. e.g. 1. Makan teratur agar tetap sehat. (Cause: makan teratur, Effect: sehat) 2. Minum obat agar cepat sembuh. (Cause: minum obat, Effect: cepat sembuh) 3. Jangan cepat menyerah agar berhasil. (Cause: jangan cepat menyerah, Effect: berhasil) Hope this help.