A bus left with some definite number of passengers. At the first stop, half of the passengers left the bus and 35 boarded the bus. At the second stop 1/5 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?

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Suppose there were F passengers initially

Number of passengers after first stop

Number of passengers after second stop

$\begin{matrix} = \frac{4}{5} (\frac{F}{2} + 35) + 40 = 80 \\ \Rightarrow \frac{F}{2} + 35 = \frac{(80 - 40)}{4} \times 5 \\ \Rightarrow \frac{F}{2} = 50 - 35 = 15 \\ F = 30 \end{matrix}$

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th