A train started from a station with certain number of passengers. At the first halt, half of the passengers got down and 125 passengers got in. At second halt, half of the passengers left and 100 persons entered, then the train left for its destination with 250 passengers. The number of passengers in the train when it started was


A) 250

B) 350

C) 450

D) 550

Correct Answer:
B) 350

Description for Correct answer:

Let initially the number of passengers was x

Number of passengers after first halt = \( \Large \frac{x}{2}+125 \)

Number of passengers after second halt = \( \Large \frac{1}{2} \left(\frac{x}{2}+125\right) \)

By hypothesis,

\( \Large \frac{1}{2} \left(\frac{x}{2}+125\right)+100 = 250 \)

= \( \Large \frac{1}{2} \left(\frac{x}{2}+125\right)=150 \)

=> \( \Large \frac{x}{2}+125 = 300 \)

=> \( \Large \frac{x}{2} = 175 \)

=> x = 350


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I didn't understand this hlp me
- MAUSAM,Katariya





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