Rajput shot 456.9 to win the silver medal in the last World Cup before the Rio Olympic Games.
Croatia's Petar Gorsa won the gold medal with 457.5, while Hyeonjun Kim of Korea bagged the bronze after he shot 445.5.
Rajput finished seventh in the qualification with a score of 1167 in kneeling, prone and standing position, while Olympic bronze medallist Gagan Narang was 23rd with 1161. Chain Singh was placed 32nd with a total of 1159.