Bhagavad Gita Chapter 9 - Rajavidya Rajaguhya Yoga - Sloka 31

The entire content of this mail is from Swami Chidbhavananda's translation of Bhagavad Gita , published by Ramakrishna Mission

How long does the convert take to reach godhood?

The Neutral Iswara is the Votary's Own 29-34

1 Gita Sloka  every day - Chapter 9 - Rajavidya Rajaguhya Yoga - Sloka 31

Krishna Coming to Draupadi's Rescue

Kshipram bhavati dharmatma shashvat shantim nigachati I

Kaunteya prati janihi na me bhaktah pranashyati II sloka 31

क्षिप्रं भवति धर्मात्मा शश्वत् शान्तिं निगच्छति I 

कौन्तेय प्रति जानीहि न मे भक्तः प्रणश्यति I I  श्लोक 31

Soon does he become a man of righteousness and obtains lasting peace. O Kaunteya know for certain that my devotee never perishes. 

Many a sinner within a span of a life time after conversion changed into the divine. The oldest case is that of the sage Valmiki. The Pandava brothers themselves bear testimony to the fact the devotees of the lord never  get lost. All 5 of them had unflinching devotion to Sri Krishna. They lost their empire; they were exposed to many dangers; untold trials and tribulations came upon them; the life of long exile in the forest was painful. But they didnot falter  in their faith in the lord. Adversity only increased their love of the lord. They were blessed in the end, with sreyas, the best in life. 

The case of the mediocre is taken into account in the next sloka