Question

In Sabarmati Express, there are as many wagons as the number of seats in each wagon and not more than one passenger can have the same berth (seat). If the middlemost compartment carrying $25$ passengers is filled with $71.428\%$ of its capacity, then find the maximum no. of passengers in train that can be accommodated if it has minimum $20\%$ seats always vacant.

• A. $500$
• B. $786$
• C. $980$
• D. Can't be determined

Answer 1

Answer: (C)

$980$

Given,
$25$ passengers are equal to $71.428\%$ of total capacity of wagon.
Means, $71.428\%$ passengers $=25$
$1\%$ passengers $=\frac{25}{71.428}$
Hence, $100\%$ passengers $=\frac{25\times 100}{71.428}=35$ passengers
Capacity of one wagon $=35$
So, number of wagons $=35$
Total capacity of the train $=35\times 35=1225$
Also, given $20\%$ seat remains vacant
Thus, the number of passengers in the train,
$=1225-20\%of1225=1225-245=980$.