The assurance was given by state Rural Development Minister G C Kataria after the issue was raised in the House by MLAs of the ruling BJP.
MLA Gyandeo Ahuja said nearly 100 pilgrims from Ajmer district were stranded on way to Amarnath following violence near the Baltal Base Camp.
Other BJP MLAs Anita Bhadel and Chandrakanta Meghwal also raised concern over the issue during the Zero Hour.
The Minister then collected information from respective authorities and gave a statement in the House, assuring that all Rajasthan natives were safe.
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He said the Amarnath Yatra has been resumed.
The Minister also assured the House about the safety of state residents on pilgrimage in Uttarakhand.
Things will be in order and the yatra will start soon after the weather turns favourable, he said.