Samsara is full of suffering. In this world (samsara), there are three kinds of suffering.
Samkhya Aphorism 1.1. Well, the complete cessation of pain [which is] of three kinds is the complete end of man.
b. By saying that the complete cessation of pain, which is of three kinds,—viz., (1) due to one's self (ádhyátmika), (2) due to products of the elements (ádhibhautika), and (3) due to supernatural causes (ádhidaivika),—is the complete end of man, he means to say that it is the chief end of man, among the four human aims, [viz., merit, wealth, pleasure, and liberation (see Sáhitya-darpaṉa, § 2)]; because the three are transitory, whereas liberation is not transitory: such is the state of the case.
It is the very nature of the soul to try to cease the suffering. For example, when you feel hungry, you look for food because food removes the hunger - a form of suffering. When you are ill, you take medicine because you want to get rid of illness - a form of suffering. So, there is no doubt that you want the end of suffering.
Samkhya Aphorism 1.3. [Let us consider the doubt] that the soul's desire [the cessation of pain, may result] from exertions for the obviation [of pain], as is the case with the obviation of daily hunger
a. When pain shall arise [let us suppose one to argue] then it is to be obviated; and thus there is the soul's desire, the cessation of pain; just as one should eat, when there is hunger; and thus there is the soul's desire of the eater, viz., the cessation of hunger. In regard to this [doubt] he states the recognized decision:
Samkhya says that these visible means (food, medicine etc.) can only remove suffering temporarily. For example, you may fall sick again.
Samkhya Aphorism 1.2. The effectuation of this [complete cessation of pain] is not [to be expected] by means of the visible [such as wealth, &c.]; for we see [on the loss of wealth, &c.,] the restoration [of the misery and evil,] after [its temporary] cessation.
a. 'The visible,' in the shape of the drugs, &c., above-mentioned [§ 1. c.].
b. 'The effectuation of this,' i.e., the effectuation of the complete cessation of pain.
c. Why is it not [to be thus effected]? Because, after the cessation (the cessation of pain is understood), we see its restoration, the springing up again of pain in general, [from whichever of its three sources (§ 1. b.)].
d. The state of the matter is this: not by the expedients above-mentioned is there such a removal of pain, that no pain arises thereafter; for, when, by this or that expedient, this or that pain has been destroyed, we see other pains springing up. Therefore, though it be not easy [§ 1. c.], the knowledge of truth [as a complete remedy] is to be desired.
e. But then, grant that future pain is not debarred by drugs, &c., [employed to remove present pain], still, by again and again obviating it [as often as it presents itself], there may be the cessation of future pain, also. This doubt he states [as follows]:
You might argue, okay, whenever, I will fall sick, I will take medicine. This is not a viable option, as you might be ill in a place where there is no doctor. and these means of ending suffering are ineffective. You have an incurable disease (like cancer) or the doctor may be incompetent; wrong treatment is a reality.
Samkhya Aphorism 1.4. This [method of palliatives (§ 3)] is to be rejected by those who are versed in evidence; because it is not everywhere possible [to employ it at all], and because, even if this were possible, there would be an impossibility as regards [ensuring] the perfect fitness [of the agents employed].
a. For there are not physicians, &c., in every place and at all times; and [to rely on physicians, &c., would not be advisable], even if there were the possibility,—i.e., even if these were [always at hand], since physicians are not perfect [in their art];—for pain cannot with certainty be got rid of by means of physicians, &c., with their drugs, &c. Moreover, when corporeal pain has departed, there may still be that which is mental, &c.; so that there is not [under such circumstances], in every respect, liberation from pain. For these reasons, such a soul's aim [as that which contents itself with temporary palliatives] is to be rejected by those who are versed in evidence, [i.e., who are acquainted with authoritative treatises].
Only liberation can lead to a complete and permanent end of suffering. That is why it is desirable.
By the way, you have a wrong notion that Prakriti is manifested from Purusha. This is not the Samkhya view. Purusha and Prakriti are distinct. Prakriti exists always. When Purusha comes in contact with Prakriti, Prakriti starts getting manifested. Prakriti is the unmanifested primordial matter. Liberation is attained when the soul realizes that it is not part of Prakriti. All the suffering is inherent in Prakriti.
Samkhya Karika 3: Nature (Prakriti), the root (of material forms), is not produced. The Great One (Mahat=Buddhi or Intellect) and the rest (which spring from it) are seven (substances), producing and produced. Sixteen are productions (only). Soul is neither producing nor produced.
References -
- Samkhya Aphorisms translated by James R Ballantyne
- Samkhya Karika translated by John Davies