Calculating price of a Product after Comission without loss in original price

Question

Say a product value is 100 and I need to pay comission of 27% for every sale. Which means 27 so i get 73 in hand. Now in case if i don't want to loose margin and want full 100 in hand then what will be the formula to calculate the price for which calculating the 27% will give me 100 in hand . I'm not sure whether i made my quey clearly understandable. Hope you got my query...Help me out pls.

To be more clear : Say , 100 is X and we have percentage as 27. Now i need a formula which will give the result Z . Calculating 27% of Z should give me 100 (X) in hand after Comission deduction. So that I have no loss .

What does 'for which calculating the 27% will give me 100' mean? — sato, Aug 06 '21 at 14:51
@Mastermind817 Say , 100 is X and we have percentage as 27. Now need a formula which will give the result Z . Calculating 27% of Z should give me 100 (X) in hand after Comission deduction. So that I have no loss . Whether this is clear ?? — Raja Gopal, Aug 06 '21 at 14:57
@saulspatz Have tried be more clear in my previous reply . Whether that is clear for you ? — Raja Gopal, Aug 06 '21 at 14:59
@saulspatz sorry I not meant that . I thought I was unclear in forming question . So tried to be more clear . — Raja Gopal, Aug 06 '21 at 15:01
@saulspatz u mean I need to replace x with the value in 73x=1 ?? — Raja Gopal, Aug 06 '21 at 15:02
@saulspatz first of all sorry for being soo basic in asking doubts.. till 1.33698 I'm clear . After that how it became 33.7% from there . Also 100+33.7% = 133.7 now deducting 27% in 133.7 gives 97.601 not 100 ??? — Raja Gopal, Aug 06 '21 at 15:08
Sorry, it was a typo. I has an extra $3$. $1/.73=1.3698$ so the price should be increased by $37%$ — saulspatz, Aug 06 '21 at 15:14
@saulspatz . Great 37% gives answer. Just one more clarity needed for me . Sorry I am may look ver noob. How 1.3697 became 37% ? — Raja Gopal, Aug 06 '21 at 15:18
I just rounded it off. Use as many decimal places as you like. — saulspatz, Aug 06 '21 at 15:19
@saulspatz so which means in 1.3698 I should ignore the value before decimal that is 1 and take the value after decimal which is 3698 and round it off that is 37.. am i wright ? — Raja Gopal, Aug 06 '21 at 15:41

Roddy MacPhee · Accepted Answer · 2022-09-30T14:17:37.640

1

$$\mathrm{margin}=1-\frac{1}{1 +\mathrm{markup}}$$

Or $$1-\mathrm{margin}=\frac{1}{1+\mathrm{markup}}$$

Which is :$$\frac{1}{1-\mathrm{margin}}-1=\mathrm{markup}$$

Plugging in $\mathrm{margin}=0.27$ we get: $$\frac{1}{0.73}-1=\frac{27}{73}$$

edited Sep 30 '22 at 14:17

answered Aug 26 '21 at 02:33

Roddy MacPhee

859

Calculating price of a Product after Comission without loss in original price

1 Answers1