Question

The number of passengers on a train increases from 63 to 77. Calculate the percentage increase in passengers.

Answer 1

Hint: Calculate the value of the increase in the number of passengers by subtracting the initial number of passengers from the final number of passengers on a train. To calculate the percentage increase in the number of passengers, divide the value of the increase in the number of passengers by the initial number of passengers and multiply it by 100.

Complete step-by-step answer:
We know that the number of passengers in a train increases from 63 to 77. We have to calculate the percentage increase in the number of passengers.
We will first calculate the increase in the number of passengers. To do so, we will subtract the initial number of passengers from the final number of passengers in the train.
Thus, the increase in the number of passengers $=77-63=14$.
We will now calculate the percentage increase in the number of passengers in the train. To do so, we will divide the increase in the number of passengers by the initial number of passengers and multiply it by 100.
Thus, the percentage increase in the number of passengers $=\dfrac{14}{63}\times 100$.
Simplifying the above expression by cancelling out the common terms from numerator and denominator, the percentage increase in the number of passengers $=\dfrac{2}{9}\times 100=22.23%$.
Hence, the percentage increase in the number of passengers in a train is $22.23%$.

Note: Percentage is a number or a ratio that represents a fraction out of 100. While calculating the percentage increase in the number of passengers, we must multiply the fractional increase in the number of passengers by 100. Otherwise, we won’t get the percentage increase in passengers.