Question

Jason went shopping.

He bought a watch and a pair of trainers for a total price of £53.55.
This price includes a 15% loyalty discount.
Before the discount, the trainers were priced at £38
Work out the price of the watch before the discount

Answer 1

£25

Explanation:

In this question, we are asked to calculate the amount that a discounted purchase cost before the discount was applied.

From the question, we were made to know that 53.55 included the discount. Now if 15% was the price of the discount, this means what she paid was 85% and this is equivalent to the value 53.55

since we do not know the total price before the discount, let’s call that x.

This means that;

85/100 * x = 53.55

85x = 53.55 * 100

85x = 5355

x = 5355/85

x = £63

Now we were made to know that the trainers were priced at £38 before the discount, the price of the watch before the discount is thus £63 - £38 = $25

Answer 2

if u r not interested in the explanation jump to the end ***

1. We assume, that the number 53.55 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 53.55 is 100%, so we can write it down as 53.55=100%.
4. We know, that x is 15% of the output value, so we can write it down as x=15%.
5. Now we have two simple equations:
1) 53.55=100%
2) x=15%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
53.55/x=100%/15%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 15% of 53.55

53.55/x=100/15
(53.55/x)*x=(100/15)*x - we multiply both sides of the equation by x
53.55=6.6666666666667*x - we divide both sides of the equation by (6.6666666666667) to get x
53.55/6.6666666666667=x
8.0325=x
x=8.0325
*******
now we have:
15% of 53.55=8.0325.
the total price was 53.55+8.0325=61.5825 the price before the discount
61.5825 - 38 = 23.5825 ~ 23.58