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A train started with 450 passengers. At the first stop, \(\frac{1}{9}\) of them got down and 20 new passengers got in. At the second stop, \(\frac{1}{6}\) of the passengers then existing got down and 19 new passengers boarded. With how many passengers did the train arrive at the third stop?

A train started with 450 passengers. At the first stop, \(\frac{1}{9}\) of them got down and 20 new passengers got in. At the second stop, \(\frac{1}{6}\) of the passengers then existing got down and 19 new passengers boarded. With how many passengers did the train arrive at the third stop? Correct Answer 369

Given:

Total passenger at the beginning = 450

Concept used:

Final = Initial + inclusion or - exclusion

Calculation:

Passenger after 1st stop = 450 × 8/9 + 20

⇒ 420

Passenger after 2nd stop = 420 × 5/6 + 19

⇒ 369

∴ 369 passenger were there when train arraived at the third stop.

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