MB Detective Case 3: Who is the Liar ?

The Manipal Departmental store has been robbed by ONE person. Four suspects have been arrested. The four suspects are Arun, Binni, Chinmaya and Daljit. The statements were recorded by the police and everyone was flummoxed.

YOU were called as a help in the case. The suspects are just repeating the same statements again and again.

Arun said “Binni did it.”

Binni said “Daljit did it.”

Chinmaya said “I didn’t do it.”

Daljit said “Binni lied when she said I did it.”

Now we know why the police were flummoxed.
CAN YOU PUT THEM OUT OF MISERY??

Hint: Only one of them is being untruthful.

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You may say I'm a dreamer but I'm not the only one :)