Exercises in Retail Maths 2: Quick mental Conversion of Markup% to Margin% and Vice Versa

We know now the concept of Markup and Margin ( Refer to the Post here)

To understand how can we quickly and mentally convert markup% to margin% and vice versa, here is a suggested framework.

Step 1: Remember this table of conversion of fraction to percentage:

$\frac{1}{1}$ = 100%

$\frac{1}{2}$ = 50%

$\frac{1}{3}$ = 33.33%

$\frac{1}{4}$ = 25%

$\frac{1}{5}$ = 20%

$\frac{1}{6}$ = 16.66%

$\frac{1}{7}$ = 17.28%

$\frac{1}{8}$ = 12.5%

$\frac{1}{9}$ = 11.11%

$\frac{1}{10}$ = 10%

$\frac{1}{11}$ = 9.09%

$\frac{1}{12}$ = 8.33%

$\frac{1}{13}$ = 7.69%

Step 2: Make use of one of the Rules to convert

Rule 1: To convert Markup% to Margin% divide the Numerator of fraction obtained from Markup% by the (Addition of Numerator & Denominator of the fraction )

Example: Convert 50% Markup  to Margin %

Answer: 

50% Markup is equivalent to 50/100 in fraction 

So divide 50 by 50+100

$\frac{50}{50+100}$ = $\frac{50}{150}$= $\frac{1}{3}$= 33.33% ( From Table above)

So 50% Markup is equivalent to 33.33% Margin. 

Rule 1: To convert Margin% to Markup% divide the Numerator of fraction obtained from Margin% by the (Denominator-Numerator)

Example: Convert 50% Margin to Markup %

Answer: 

50% Margin is equivalent to 50/100 in fraction 

So divide 50 by 100-50

$\frac{50}{100-50}$ = $\frac{50}{50}$= $\frac{1}{1}$= 100% (From Table above)

So 50% Margin is equivalent to 100% Markup

Exercises ( Try to Do Mentally- If you Cram the table above, it will be very easy for you):

1. Convert 40% Markup to Margin%
2. Convert 25% Margin to Markup%
3. Convert 60% Markup to Margin%
4. Convert 33.33% Margin to Markup%
5. Convert 75% Markup to Margin%
6. Convert 20% Margin to Markup%
7. Convert 100% Markup to Margin%
8. Convert 16.66% Margin to Markup%
9. Convert 30% Markup to Margin%
10. Convert 12.5% Margin to Markup%