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Question 29
A bus left with some definite number of passengers. At the first stop, half the passengers left the bus and 35 boarded the bus. At the second stop $$\frac{1}{5}$$th of the passengers left and 40 boarded the bus. Then, the bus moved with 80 passengers towards its destination without stopping anywhere. How many passengers were there originally ?
Solution
Let's say there were x passengers initially,
So after first stop there will be $$\frac{x}{2} +35$$ passangers left in bus.
and after second stop , it will be $$(\frac{x}{2}+35) \times \frac{4}{5} + 40 = 80$$
Hence $$x$$ will be = 30
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