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Pinky is standing in a queue at a ticket counter. Suppose the ratio of the number of persons standing ahead of Pinky to the number of persons standing behind her in the queue is $3: 5$. If the total number of persons in the queue is less than $300,$ then the maximum possible number of persons standing ahead of Pinky is

let P be Pinky

Queue is like xxxx...xPyyyy….yyyy

number of person ahead of P/number of person behind p =3k/5k

number of person in queue = 3K+1(pinky herself) +5k < 300   given in question

=> 8k < 299

=> k<37.375

therefore k=37

no. of person ahead of pinky = 3*37=111
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