if i paid £1.50 and I got a 25% how do I work out the original price and the discount?

## How do I work out the discount I got from a %?

October 10th, 2013 admin

October 10th, 2013 admin

if i paid £1.50 and I got a 25% how do I work out the original price and the discount?

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25% discount means you paid 75% of original price.

So if 1.50 is 75% then orginal was 1.50×100/75 or 1.50×4/3 which makes 2 pounds asking price and 50 p discount.

Well the answer would be £2(dunno if that was just an example)

Easy way would be to divide the 1.50 by 75 then times by 100

The original price was £2. If you divide £2 by 4 (to get 25%) you get 50p. Take 50p off £2 and you get the price you paid, £1.50

Let us say the original price (without discount) was x.

Then the discounted price (after the 25% discount) would be

(x- 25%of x ) or in other words, 75 % of x.

So, our discounted price is 75% of x. This is equal to the price we have paid.

Hence, 75%x = £1.50

which means

x = £1.50/75%

= £(1.50*100)/75

= £ 2.00

which is our original price.

The others are right. Another old-fashioned way to look at it is to say that 25% is a quarter of something. 4x50p = £2.00 take a quarter away leaves you with the £1.50 that you paid, so your discount was 50p.

PS. if that sounds too simple, you paid £1.50 and had a discount of a quarter of the price, well £1.50 is 3 quarters of the price, a third of that is 50p, so to make the original price you add one more quarter to make the whole price which should have been £2.00

25% is 1/4 so

£1.50 / 4 = £0.375

round it up= 38p is 1/4

so now do £1.50 – £0.375

answer = £1.125 ( or £1.13 rounded up)

150*25/100=37.5penny

the discount=37.5

A general lesson on the phenomenon known by term "Percentage"

Way of representing a number as a fraction of 100. For example, 45 percent (45%) equals 45/100, and 45% of 20 is 45/100 × 20 = 9.

Percentage increase/decrease

In general, if a quantity changes from one value to another then

percentage = [100 × {(difference in the values)/old value}]

For example, in a sale the price of a bicycle is reduced from £120 to £90, that is there is a discount of £30. The percentage decrease is 100 × 30/120 = 25%.

Fractions as percentages

To express a fraction as a percentage, its denominator must first be converted to 100. For example, value-added tax (VAT) as a fraction is 7/40:

7/40 = 17.5/100 = 17.5%

The use of percentages often makes it easier to compare fractions that do not have a common denominator (a number divisible by both the bottom numbers), for instance when comparing rates of inflation or rates of simple interest.

To convert a fraction to a percentage on a calculator, divide the numerator by the denominator and then multiply by 100.

The percentage will correspond to the first two figures of the decimal; for example, 7/12 = 0.5833333 = 58.3% (correct to 1 decimal place), and 7/32 = 0.21875 = 21.9% (correct to 1 decimal place).

The percentage sign is thought to have been derived as an economy measure when recording in old counting houses; writing in the numeric symbol for 25/100 would take two lines of parchment, and hence the ‘100’ denominator was put alongside the 25 and rearranged to ‘%’.

By following these ‘first principles’ you should be able to calculate any Percentage question/problem

Hope this is helpful 🙂