How much chants within how many months required to get Siddhi in the Raja Matangi Mantra?
English
Rāja Mātaṅgī Mantra Siddhi
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In Paraśurāma Kalpa Sūtra puraścaraṇam of Śyāma is described in khaṇḍa 6 verse 37:
एवं नित्यसपर्यां कुर्वन् लक्षजपं जप्त्वा तद्दशांशक्रमेण च होमतर्पणब्राह्मणभोजनानि विदध्यात्
evaṃ nitya-saparyāṃ kurvan lakṣa-japaṃ japtvā tad-daśāṃśa-krameṇa
ca homa-tarpaṇa-brāhmaṇa-bhojanāni vidadhyāt ||
Doing the daily worship in this way recite [the mantra] 100,000 times and then by steps in tenths of that [amount] make [10,000] offerings in the fire (homa), [1,000] water offerings (tarpaṇa) and feeding [100] brāhmanas.
It should be noted that these are general instructions and there is no guarantee that one’s saṅkalpa will be fulfilled upon the completion of puraścaraṇam because both Devi's grace, person's faith and attitude/bhavana are a major part of the equation.
P.S.
Please try to be mindful of the available categories and properly tag the posts.
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Here's an excerpt from Robert Svoboda's "Aghora: At the left hand of God" which nicely illustrates my point:
You know, one person may do sadhana for years and years and still get no result, whereas someone else may only do a very small amount of penance and get a very great result, as was the case with me and my Shava Sadhana. It looks unfair, doesn’t it? But the person who achieves easily in this lifetime must have spent many, many lifetimes of tough austerities, just as Kalidasa did, to reach the point where only a small further effort will bring results. Someday I'll tell you the story of Kalidasa. Right now I have a better story for you. Listen!
One time an Aghori decided to perform Shava Sadhana. Naturally he couldn’t do it in the city because the people there would be scandalized and would accuse him of black magic and attack him. To avoid this he procured a corpse, carried it out into the deep jungle, sat on top of it, and began to do his japa, a woodcutter happened to pass nearby and, seeing the Aghori and the corpse, took fright and climbed a tree to hide. While he was in the tree the woodcutter overheard the mantra which the Aghori was repeating. He was repeating it aloud to improve his pronunciation, which was proof he was still raw, because a real Aghori never speaks a mantra aloud.
Suddenly from out of nowhere a tiger appeared and with one cuff from its paw killed the Aghori. Immediately it began to lap up the freely flowing blood. Tigers always do that to a fresh kill. While it was busily engaged in slaking its thirst for blood, the tiger was frightened by a sound nearby and plunged into the deep underbrush.
The woodcutter knew well that a tiger always returns to its kill, but he had become curious about the whole thing and in spite of the danger got down from the tree to investigate. Then he wondered to himself, "Why shouldn’t I try this out?” He sat on the fresh corpse of the Aghori and started to repeat the mantra he had overheard. After less than a hundred repetitions the deity suddenly appeared in front of him and said, “Ask for a boon!”
The woodcutter told Her, "Ma, I have only done this out of curiosity.”
Ma told him, "That doesn’t matter. What does matter is that I have come to you. Now ask for something.” He said, "All right then, tell me which law states that this fellow should not succeed even after long penance and that I should achieve within seconds?”
Ma smiled and said, “Close your eyes." When he did he saw that he had been doing this same sadhana for the past ten births. Ma continued: "Do you understand now? If you hadn't done this before, how could you have remembered the mantra? How would you have developed the courage to attempt the sadhana knowing the tiger would return at any moment? I was the tiger who killed this Aghori. I made him come here, where I knew you would be waiting. I gave you the intelligence to remember the mantra and do the sadhana. You had only a few japas left remaining from your past birth in order to get Siddhi, and now you have it. This Aghori must still go through two more lives before he gets an opportunity like this. Now ask me for something!”
The woodcutter said, “Ma, all that I desire is that you should keep me forever in Your sweet gaze.” In that instant, he was made.
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Kindly confirm. For doing Havan, shall I give Ahuti of rice mixed in Ghee while chanting the Mantra with an extra "Swaha" in its end?
It is better to consider all mantra sadhanas as seva to your Ishtadevata. You can pray in your own words, but please just continue chanting and offer the results to your Sri Matangi.