The announcement came less than an hour after Bahujan Samaj Party supremo Mayawati made a similar offer to the Congress.
The chief minister won the Jhalrapatan seat with a margin of 34,980 votes.
The Congress emerged as the single-largest party in the state with 114 seats.
On Tuesday the Indian rupee had plunged 53 paise to 71.85 per US dollar.
Former chief minister Ashok Gehlot and PCC President Sachin Pilot are in the race for the top post.
Governor Anandiben Patel has called on the Congress after it emerged as the single-largest party in the state.
She also said that if the need arises, the BSP will support the Congress in Rajasthan to form the next government.
BJP's setback and the resurgence of Congress party in the assembly elections made for some interesting headlines.
He observed that the people of Gujarat started the BJP's Decline in last year's assembly polls.
NCP chief Sharad Pawar said the results showed that people do not believe in communal forces as they want peace and…
"The people thought the prime minister will fight corruption.. Now people think Modi is himself corrupt. This is…