Question

When a train started from station $A$, there were certain number of passengers in it. On the next station $\frac{1}{11}$ of these passengers got down and $20\%$ of these got down passengers got into the train. Now if the number of passengers in the train is $510$, how many passengers were there at station $A$?

• A. $600$
• B. $580$
• C. $560$
• D. $550$

Answer 1

The correct option is D $550$

Suppose there were $x$ passengers at station $A.$

Then, $x-\frac{x}{11}+20$ $\%$ of $\frac{x}{11}=510$
$\Rightarrow \frac{10x}{11}+\frac{x}{55}=510$

$\Rightarrow \frac{51x}{55}=510$

$\Rightarrow x=550$