A bus starts from a depot filled to capacity. It stops at station a where 1/3 of the passengers alight and 30 board the bus. At station b 1/4 of the passengers alight and 12 board the bus. At station c which was the last stop all the 84 passengers alight. What is the capacity of the bus
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Let number of passengers in the starting = x
Number of passengers after first halt = 23x+120
and number of passengers after second halt =
12(23x+120)+100
But number of passengers after second halt = 240
Therefore, 23x+120=280
23x=160
x = 240
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