Question

The average weight of 45 passengers in a bus is 52 kg. 5 of them whose average weight is 48 kg leave the bus and other 5 passengers whose average weight is 54 kg join the bus at the same stop. What is the new average weight of the bus?
A) 54.21 kgs B) 51.07 kgs C) 52.66 kgs D) 53.45 kgs

Answer 1

$\textbf{Given:}$

$\text{Average weight of 45 passengers is 52 kg}$

$\textbf{Solution:}$

$\text{when 5 of them leave and 5 new passengers join the bus,}$

$\textbf{New total weight of 45 passengers}$

$=\textbf{Total weight of 45 assengers}-\textbf{Total weight of 5 passengers leave}$$+\textbf{Total weight of 5 passengers join}$

$=(45{\times}52)-(5{\times}48)+(5{\times}54)$

$=2340-240+270$

$=2340+30$

$=2370$

$\textbf{New average}$

$=\dfrac{\text{Total weight of 45 passengers}}{45}$

$=\dfrac{2370}{45}$

$=52.66\;\text{kgs}$

$\therefore\textbf{New average weight of the bus is 52.66 kgs}$

$\implies\textbf{Option(c) is correct}$

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