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Manoj

· started a discussion

· 1 Months ago

It should be parallelogram

Question:
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, hlaf of the passengers left and 100 persons entered, then the train left for its destination worth 250 passengers. The number of passengers in the trains when it started was:
Options:
A) 250
B) 350
C) 450
D) 550
Solution:
Ans: (b)

Suppose initially the number of passengers was x.

Number of passengers after Ist halt = \(\cfrac{x}{2}+125\) 

Number of passengers after IInd halt = \(\cfrac{1}{2}\left ( \cfrac {x}{2}+125 \right )+100 \)

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

or \(\cfrac{1}{2}\left ( \cfrac {x}{2}+125 \right ) = 150 \)

or \(\cfrac{x}{2}+125=300\)

or \(\cfrac{x}{2}=175\)

\(\therefore\) x = 350

Manoj

· commented

· 1 Months ago

Sorry this is for question no. 40

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