Dewali festival based on while Ram came to ayodhya after killing Rawan, But why do you worship to Lakshmi?

Deepavali is celebrated by Hindus for several reasons. On reason is to celebrate return of Rama to Ayodhya after victory over Ravana. One more reason is receiving Lakshmi on that day. in addition to these two there some more reasons also. Please read below -

Diwali festival marks the victory of good over evil. The Sanskrit word Deepavali means array of lights that stands for victory of brightness over darkness. As the knowledge of Sanskrit diminished, the name was popularly modified to Diwali, especially in northern India.

On the day of Diwali, many wear new clothes, share sweets and light firecrackers. The North Indian business community usually starts their financial new year on Diwali and new account books are opened on this day.

Hindus find cause to celebrate this festival for different reasons:

As per spiritual references, on this day 'Laxmi-panchayatan' enters the Universe. Sri Vishnu, Sri Indra, Sri Kuber, Sri Gajendra and Sri Laxmi are elements of this 'panchayatan' (a group of five).

The tasks of these elements are:

Vishnu: Happiness (happiness and satisfaction)

Indra: Opulence (satisfaction due to wealth)

Kuber: Wealth (one who gives away wealth)

Gajendra: Carries the wealth

Laxmi: Divine Energy (Shakti) which provides energy to all the above activities.

Importance of Laxmi Puja

A. Destruction of distressing energies. On this particular day, Goddess Laxmi's destroyer (marak) form is active, since it is the new moon day. The spiritual emotion of the person doing ritualistic worship, activates Goddess Laxmi's marak form and destroys the distressing frequencies in the environment.

B. Arrival of other Gods (Devtas). Lord Indra and other male deities also get drawn to the place of ritualistic worship and follow Goddess Laxmi. Thus happiness, opulence, prosperity, stability and wealth is maintained in the premise (Vastu) by worshiping the 5 elements or Deities

As per sacred texts, according to Skanda Purana, the goddess Shakti observed 21 days of austerity starting from ashtami of shukla paksha (waxing period of moon) to get half part of the body of Lord Shiva. This vrata is known as kedhara vrata. Deepavali is the completion day of this austerity. This is the day Lord Shiva accepted Shakti into the left half of the form and appeared as Ardhanarishvara. The ardent devotees observe this 21 days vrata by making a kalasha with 21 threads on it and 21 types of offerings for 35 days. The final day is celebrated as kedhara gauri vrata. Children lighting lamps in the form of swastika on eve of diwali

Diwali also celebrates the return of Lord Rama, King of Ayodhya, with his wife Sita and brother Lakshmana to Ayodhya from a war in which he killed the demon king Ravana. It is believed that the people lit oil lamps along the way to light their path in the darkness. This is the reason, why the festival is celebrated a day earlier in South India since Lord Rama travelled from the south to his kingdom in the north. In North India, the festival is held on the final day of the Vikram calendar.

The following day marks the beginning of the North Indian new year, and is called Annakut.

It commemorates the killing of Narakasura, an evil demon who created havoc, by Lord Krishna's wife Sathyabhama. This happened in the Dwapara Yuga during this time of Lord Krishna's avatar. In another version, the demon was killed by Lord Krishna himself. In South India, Diwali does not coincide with the beginning of a new year as South Indians follow a different calendar, the Shalivahana calendar.

Goddes Kali is worshiped as kali Puja by Bengalis and in other south eastern states.

In Bhavishyottara and Bramhavaivarta Purana, Diwali is associated with the Daitya king Bali, who is allowed to return to earth once a year.

Bhayiduj (also Bhayyaduj, Bhaubeej or Bhayitika) -- on this day, brothers and sisters meet to express their love and affection for each other. (Gujarati: Bhai Bij, Bengali: Bhai Phota)

Dewali is not totally based on the even of Ram coming back to Ayodhya after killing Ravan. It was co-incedence that Ram returned on Kartik-Amavasya, which was celebrated by Ayodhya people by lighting lamps in happiness. May be lighting of lamps was added to this day from then onwards. But Kartik-amavasya is celebrated for other reasons also.

I don't know why people believe all this myths.