Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

Let's say a Marketing company has a total turnover of 10000 \$

There are 3 salesmen A,B,C with the following turnovers

A = 2000 $
B = 3000 $
C = 5000 $

Now, If the company wants to increase total turnover by 10 %, Should this be split as 10% for all salesmen OR Can 10% be split across A,B,C differently using weighted averages/percentages?

share|cite|improve this question
Explosion of answers! By the way including \\$ in your posts will allow the \$ sign to appear. – mixedmath Jul 19 '11 at 17:02

You can do whatever you like. If you increase each of A, B, and C by 10%, the total will go up 10%. You can also increase A to 3000 and the total increases by 10%. What is your criterion for the decision?

share|cite|improve this answer

It depends on company OR below should be an answer. $$10000=A+B+C=2000+3000+5000$$ $$10000\times(1+0.1)=(A+B+C)\times(1+0.1)=(2000+3000+5000)\times(1+0.1)$$ $$\therefore A=2200$, B=3300$,C=5500$ $$

share|cite|improve this answer

It the mathematical OR - meaning one, the other, or both. And in this case, it's both. Ultimately, throwing an additional 1000 dollars among A, B, and C will always yield a 10% increase, regardless of how it's distributed.

share|cite|improve this answer

Increase of total turnover by 10% $ \rightarrow 2000x_a+3000x_b+5000x_c = 11000$. So you have 3 unknowns and 1 equation, so you need more constraints to determine a unique solution.

For e.g. $x_a = x_b = x_c = 1.1$ would work (each person increases their turnover by 10%) and so would $x_a = 0.4, x_b = 1.3, x_c = 1.26$ (required turnover of $A$ reduces to 40%, $B$ increases by 30% and $C$ increases by 26%)!

share|cite|improve this answer

you could change whatever you like if and only if A+B+C=11000 the final

share|cite|improve this answer

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.