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
Explanation:
Let the number of people standing in front and behind Pinky be 3x and 5x respectively. ∴ Total number of people in the line = 3x + 5x + 1 (Pinky herself) = 8x + 1
⇒ 8x + 1 ≤ 300 ⇒ x ≤ 299/8 = 37.375
∴ Maximum value of x is 37.
⇒ Maximum number of people standing in front of Pinky = 3x = 111.
Hence, 111.
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