JIPMAT 2021 (QA) - A train starts full of passengers. At the first station, it drops one third of passengers and takes 280 more. At the second station, it drops one half of the new total and takes 12 more. On arriving at the third station, it is found to have 248 passengers. The number of passengers in the beginning was | PYQs + Solutions

JIPMAT 2021

Arithmetic

Percentages

Conceptual

A train starts full of passengers. At the first station, it drops one third of passengers and takes 280 more. At the second station, it drops one half of the new total and takes 12 more. On arriving at the third station, it is found to have 248 passengers. The number of passengers in the beginning was

156

288

564

608

Correct Option: 2

Let initial passengers =

x

After first station:

\frac{2x}{3} + 280

passengers (drops

\frac{1}{3}

and adds 280)

After second station:

\frac{1}{2}(\frac{2x}{3} + 280) + 12

passengers (drops half and adds 12)

= \frac{x}{3} + 140 + 12

= \frac{x}{3} + 152

After third station = 248 passengers

Therefore:

\newline

\frac{x}{3} + 152 = 248

\frac{x}{3} = 96

x = 288

The initial number of passengers was 288.