[Solved] Maths Two Percentage Increases – Any Takers

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First:

  • You did not use D: I suppose instead of B / 6, it should read B x D, where D can be either 20% or 16,666…%

  • There is a mistake: B x C is not 3.60 for the given values (B=20, C=15%), it is 3.

This is a matter of mathematical deduction:

Given the equation:

E = B – A – (B x C) – (B x D)

Add A to both sides:

E + A = B – (B x C) – (B x D)

Isolate B:

E + A = B x (1 – C – D)

Divide both sides by (1 – C – D). Condition: C + D cannot equal 100%

(E + A) / (1 – C – D) = B

So there is your formula for calculating B. Take note of the condition: this only holds true when C + D is not equal to 100%.

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solved Maths Two Percentage Increases – Any Takers