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Help with simple percentage maths please

  • Wealdenlady
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07 Dec 2020 00:37 #515025 by Wealdenlady
Topic posted by Wealdenlady
Hello,

My husband’s wage is £2500 per month and mine is £1300.

We’d like to use this difference to inform the way we split bill payments i.e. if we earned the same wage, we’d enact a 50:50 split.

I’m going round in circles try to work out what our split should be. Some online percentage calculators say it’s a 60:40 difference but that doesn’t seem right as he earns nearly double my wage. What am I doing wrong? Could someone please help me work out what the split should be?

Thanks so much.

  • .Charles
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07 Dec 2020 09:33 #515029 by .Charles
Reply from .Charles
Add the two figures together to give you £3800.

Take one of the figures and divide it by £3800 and multiply that by 100 to give you the percentage.

e.g.

£2500 divided by £3800 = 0.657
0.657 multiplied by 100 = 65.7%

And

£1300 divided by £3800 = 0.342
0.342 multiplied by 100 = 34.2%

So the split is, rounded to the nearest whole percent, 66:34.

Charles

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07 Dec 2020 12:26 #515031 by Wealdenlady
Reply from Wealdenlady
Thanks Charles.

I did that sum too but it can’t get passed the fact that it simply doesn’t sound right. If you look at the figures, he earns nearly double my wage so I would have thought the number would be closer to 100%. My wage isn’t 2/3rds his. Am I wrong?

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07 Dec 2020 12:37 #515033 by Wealdenlady
Reply from Wealdenlady
Sorry, meant that my wage isn’t 1/3rd of his. Is closer to half.

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07 Dec 2020 14:50 - 07 Dec 2020 15:33 #515034 by .Charles
Reply from .Charles
My figures are correct. You are comparing your wage to his wage without referring the two wages to the monthly outgoings.

Let us assume that his wage is twice that of yours. For the sake of this exercise let's assume your wage is £1000 and his £2000.

In isolation he earners twice as much as you. However, if you then agree to share a bill proportionately you have to agree to the proportions. In this example it would be 1:2 where for every £1 you pay, he pays £2.

In order to then work out what is paid towards this joint bill you then apply the above ratio. Let's assume you want to pay a bill of £300. If you pay one in three pounds and he pays two in three pounds you would end up paying £100 and he would pay £200.

He would still be paying twice as much as you and he would discharge two-thirds of the bill. You would be paying half as much as him and also the remaining one-third. Or, in percentages, he would be 66.6% and you would pay 33.3%.

If you want to work backwards, take the amount of the household bills you want to split, apply the percentages I mentioned in my first post then, when you have the two figures, compare them. One will be roughly twice as much as the other.

Charles
Last edit: 07 Dec 2020 15:33 by .Charles. Reason: typo

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07 Dec 2020 16:19 #515035 by Wealdenlady
Reply from Wealdenlady
Brilliant. Can see it now! Thanks so much.

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