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I have lost the will to live. My daughter said that if I have a thirty per cent mark up on my products; how much do I need to sell to make 200GBP.

I am convinced that the answer is 153.84 GBP. I did this in the most painstakingly way possible by process of elimination.

Does anyone know the correct formula for doing this. I am sure it can be done by a few strokes of a pen or pushing a couple of buttons on a calculator.

Gone for a lie down.

I am convinced that the answer is 153.84 GBP. I did this in the most painstakingly way possible by process of elimination.

Does anyone know the correct formula for doing this. I am sure it can be done by a few strokes of a pen or pushing a couple of buttons on a calculator.

Gone for a lie down.

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## Comments

the .3 being 30%

So you need to sell 4.333 lots of your product (costing £666.58 to get you £866.60 and therefore MAKE £200)

E&OE

I feel a bit thick now, but I do not mind!

http://www.vatcalculatorplus.com/

@Brunello - spot on!

Sponsored links:If 30% is the margin then 200 x 100/30 = £666.67 is correct

If 30% is the mark-up (which was the question) then the margin is 30% of 130% of cost = 23.077%

The calculation would then be 200 x 100/23.077 = £866.67 as others have said.

PURCHASES £666.67 (to nearest penny) (100%) - 30% mark up on this

PROFIT £200

If you wanted £200 to represent a 30% Margin then you would have Sales of £666.66 and Purchases (Cost of Sales) as £466.66 (excuse rounding errors) - This would of course equal a 42.85% Mark Up.

Sponsored links:x * 130 / 100 = x + 200

Multiply both sides by 100

130x = 100x + 20000

Take 100x from each side

30x = 20000

x=20000 / 30 = 666.67

QED

To make a £200 profit with them, you actually need to show a loss of £667.

And aren't books VAT free? (Amazon)