Jung shot 10.6, 9.9, 9.9 in the last and final round of 'Champion of Champions' while Shweta shot 9.5, 10.5, 8.7 in a tough competition.
Jung also collected a cash prize of Rs 25,000.
In the finals of 10m Air pistol men's event, Dharmendra Singh of Army won the gold in a very close fight with his own team-mate Jitu Rai. Dharmendra Shot 199.1 and Jitu shot 197.3 to win the silver, while Samresh Jung of CISF won the bronze with 186.5 points in the finals.
At the 25m range, it was a day for Haryana shooters. Anita Devi of Haryana became the new champion of 25m sport pistol women's event. She gave a very good fight to Commonwealth double gold medalist Anisa Sayyed.
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Anita gained eight points to win the gold while Anisa had to be satisfied with the silver with just two points.
Gauri won the bronze with eight points while Rahi could get only two points in the final and remained fourth.
Gauri Sheoran of Haryana also won the gold medal in the 25m pistol junior women's event with 574 points, while Chinki Yadav of Madhya Pradesh claimed the silver with 561 and Oshin Tawani of M P won the bronze with 558 points.