# Thread: Percentage Problem

1. ## Percentage Problem

Hi,

I have a little problem - I want to sell an item for say £50 but offer a discount of 10% to regular customers

I need a calculation to find out the advertised price then take 10% off to get the value back to £50

If i add 10% to £50 = £55

So if i advertise product at £55 then minus the 10% discount = £49.50 not the original £50 !

Is there a simple calculation i can do on a calculator ?

Many thanks in advance

Alan

2. Originally Posted by alanjo99
Hi,

I have a little problem - I want to sell an item for say £50 but offer a discount of 10% to regular customers

I need a calculation to find out the advertised price then take 10% off to get the value back to £50

If i add 10% to £50 = £55

So if i advertise product at £55 then minus the 10% discount = £49.50 not the original £50 !

Id there a simple calculation i can do on a calculator ?

Many thanks in advance

Alan
Remember that 50 Pounds = 100%

Add 10%

55 Pounds = 110%

So use cross-multiplication to find the original price again.

$\displaystyle \frac{x}{55} = \frac{100}{110}$

3. Originally Posted by alanjo99
Hi,

I have a little problem - I want to sell an item for say £50 but offer a discount of 10% to regular customers

I need a calculation to find out the advertised price then take 10% off to get the value back to £50

If i add 10% to £50 = £55

So if i advertise product at £55 then minus the 10% discount = £49.50 not the original £50 !

Is there a simple calculation i can do on a calculator ?

Many thanks in advance

Alan

I think that,

£50=90%
£x=100%

Therefore,
$\displaystyle \frac {x}{50}= \frac {100}{90}$
$\displaystyle x=55.56$

4. Originally Posted by alanjo99
Hi,

I have a little problem - I want to sell an item for say £50 but offer a discount of 10% to regular customers

I need a calculation to find out the advertised price then take 10% off to get the value back to £50

If i add 10% to £50 = £55

So if i advertise product at £55 then minus the 10% discount = £49.50 not the original £50 !

Is there a simple calculation i can do on a calculator ?

Many thanks in advance

Alan

Let price to be sold be X

After 10% discount, you want the price to be 50

X - 10% of X = 50

X - 0.1 X = 50

0.9X = 50

X = 50/0.9

X = 55.56

Double check your calculation..

If the advertised price is 55.56, after 10% discount, it becomes 55.56 - 10%(55.56) = 55.56 - 0.1 * 55.56 = 50.004 (~50)

Hope this helps.