Question

A phone is £78 after a 35% discount how much was the original price.

Answer 1

Price with discount: £78

Original price: x (we will give this the letter x, as we don't know the answer)

Decreased percentage: 35%

In this case, we subtract 35 from 100 (as percentage is out of 100), which will give us 65%.

• Next, we make a table which shows £ and %, as shown in the picture.
• Then, we enter our details according to the headings which are "£" and "%".
• As shown in the picture, we then cross-multiply. We multiply 100 by 78 and x by 65.
• The workings must be something like the steps 1, 2 and 3 shown in the picture.

Answer is, £120.

Answer 2

120

Explanation:

Let's say the original price was 100x. After a 35% discount, the final price reduces to 65x. We know that 65x equals £78.

So if 65x= £78,

1x=78/65

If we multiply both sides by 100,

we get 100x=
`(78)/(65)`*100

The original price was 100x and it is equal to 120.