Question

In Godavari Express, there are as many wagons as there are 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 number of passengers in the train that can be accommodated if it has minimum $20\%$ seats always vacant.

• A. $500$
• B. $786$
• C. $980$
• D. $340$

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 wagon $=35$.

Total capacity of the train $=35\times 35$.

Also, given $20\%$ seat remains vacant.

Thus, the number of passengers in the train,

$=1225-(\frac{20}{100}\times 1225)=1225-245=980$.