I'm hopeless at maths, please tell me the cost of this bus ticket!

[AintNobodyHereButUsChickens]

DD is starting secondary school this September and we're looking at how much the bus is going to cost us and how we should pay for it. I discovered that Stagecoach do something called a Scholar ticket and I emailed them to ask how much it costs. I was hoping they would send me both prices, for a year and for a term but they only sent a price for a year.

Anyway, here's what their email said.

At the present time the cost of a child's daily return ticket would be £4.80 and we would multiply this cost by the number of academic school days (usually around 190 per year) and then apply a 10% discount for a years scholar pass or a 7.5% discount for a term pass. For example, £4.80 x 190 less 10% = £820.80. This would be the cost for a year's pass. The same method would be used to calculate a term pass, however the discount would be 7.5%. The school terms are split into 3 and I can advise that the first term will be from September to Xmas, from January to Easter and from Easter to the summer.

Can someone please help me out with a price per term?

£4.80 x 190 less 10% = £843.60
Divide by 3 = £281.20

Roughly about £280. That's if all 3 terms have equal length of days so worked out using 190/3. One term may be slightly more and one slightly less

Sorry! Should have said:

£4.80 x 190 less 7.5% = £843.60
Divide by 3 = £281.20

190 days divided by 3 terms = 63 days per term

63 day x £4.80 = £302.40

7.5% discount on £302 (92.5% of 302) = £279.45 per term

You are being charged more by paying per term as you get 7.5%. £4.80 x 190 £912 less 7.5% £68.40 = 843.60 divide by 3 for the term equals £281.20

By paying per year it’s a difference of £22.80 not much really..

£4.80 x however many days there are in a term, which might vary, less 7.5 %.

4.80 x 55, less 7.5% = £240.20

Can you get a 0% credit card? If so, the cheapest option would be to buy the yearly pass and then you could pay it off over 12 months (£68.40 per month).

£4.80 x 190 = £912 less 10% (£91.20) = £820.80

£912 /3 = £304 less 7.5% (£22.80) = £281.20.

£281.20 x 3 = £843.60 so £22.80 more than paying yearly.

The numbers look confusing as this is the same figure as the termly 7.5% discount purely as it is 3 x 2.5% (three terms at 2.5% less discount = 7.5%!)