Asked to bowl, the Indians first restricted Sri Lanka to a lowly 89 for nine and then overwhelmed the target in 13.5 overs, reaching 91 for the loss of just one wicket in Ranchi on Friday.
Skipper Harmanpreet scored 63 and spinner Ekta Bisht grabbed 3 wickets as India beat Bangladesh by 5 wickets.
The left-arm spinner bowled superbly to restrict the Lankans to 100 for 8, which India chased down in 14.4 overs. With the play-off win they also qualified for the 2014 event.
Amita Sharma and Ekta Bisht shared six wickets between them as India defeated New Zealand by 32 runs.
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