Question

Ross has a season ticket.

In 2013 the season ticket cost £65.
In 2014 the cost of the ticket was increased by 8%.
In 2015 the cost of the ticket was increased by a further 5%.

Calculate the cost of the season ticket after the two price increases.

Answer 1

£73.71

Explanation:

Let's compute first for the cost of the ticket in 2014. Let x be the increase in the cost of the ticket. If the cost of the ticket is 8% of £65, then the expression should be like this:

• x = 65 x 8%
• x = 65 x 0.08
• x = £5.2

Let's add £5.2 to £65 ⇒ £5.2 + £65 = £70.2

The cost of the season ticket in 2014 is £70.2.

Next, we'll have to compute the cost of the ticket in 2015. Let y be the increase in cost of the ticket. If the cost of the ticket is 5% of £70.2, then the expression should be like this:

• y = 70.2 x 5%
• y = 70.2 x 0.05
• y = £3.51

Let's add £3.51 to £70.2 ⇒ £3.51 + £70.2 = £73.71

The cost of the season ticket in 2015 is £73.71. This is also the cost of the season ticket after two price increases.