Question

# A train started from a station with a certain number of passengers At the first half 13rd of its passengers got down and 120 passengers got in At the second halt half of the passengers got down and 100 persons got in Then the train left for its destination with 240 passengers How many passengers were there in the train when it started?

A
540
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B
480
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C
360
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D
240
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Solution

## The correct option is D 240Let train started with x passengers from first stationOn second station one third passengers down and 120 inThen second station train started with (2x2−120) passengersAfter second station half passenger halt and 100 passenger inThen third station train started with 12(2x2−120)+100∴12(2x3−120)+100=240⇒x+180+300=720⇒x=240

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