Question

The price of a ticket was increase from 50p to 60p. What is the increase a as a fraction in its simple form? As a percentage of the original price?

Answer 1

10p or 20% was added on

Answer 2

Given is the price increase of a ticket from 50p to 60p.

Using the concept of fractions, we can find the ratio of new price to old price as follows :-

$\frac{new \;\; price}{old \;\; price} = \frac{60p}{50p} =\frac{6}{5}$

So the increase in price is $\frac{6}{5}$ times old price of the ticket.

Using the formula of percentage, we can find the percentage change in price as follows :-

$Percentage = \frac{(new\;\;price \;-\; old\;\;price) }{old \;\; price}*100 \\\\ Percentage = \frac{60p-50p}{50p}*100 \\\\ Percentage = \frac{10p}{50p}*100 \\\\ Percentage = 20\;\%$

Hence, Percentage increase is 20% of the original price.