Answer :
The price of the watch before the discount is £33.4
Step-by-step explanation:
- Jason bought a watch and a pair of trainers for a total price of £53.55
- The total price he bought has a 15% loyalty discount.
Let us assume,
The original price of the watch and a pair of trainers before the discount = x
- The price 53.55 is less than 15% of x.
- We know that the original price x is 100%
- Therefore, the price 53.55 is 75% of x.
⇒ [tex]53.55=(75/100)\times x[/tex]
⇒ [tex]53.55 = 0.75\times x[/tex]
⇒ [tex]x = 53.55 / 0.75[/tex]
⇒ [tex]x = 71.4[/tex]
The original price of a watch and a pair of trainers before the discount is £71.4
It is given that,
Before the discount, the trainer's were priced at £38
Before the discount, the total cost = trainer's cost + price of the watch.
⇒ 71.4 = 38 + price of the watch
⇒ Price of the watch = 71.4 - 38 = 33.4
∴ The price of the watch before the discount is £33.4