How to set up a Weight Loss Pool with 15 people? Does it matter our start weight? ie:%body fat? Help W/Math?

So Im wondering...... what is the best way to do a weight loss pool? This is where we all chip in $10 or so and the winner (who loses the most) takes home the pot.I have started a weight loss group, and although we are in the obese category, more of us are medically considered to be "morbidly obese" which is fine because we are working on losing weight as a team, and together between all 15 of us have lost over 100lbs. So Im wondering, is FAIR for people of different weights to have an equal opportunity to win this?What if Sally weighs 300 and Jim weighs 400?Jims weight would fall off quicker than Sally's. So how would this fair? OR would I need to have 2 separate weight groups?Thanks for the help with the mathematics here =)

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One solution would be to measure percentage loss rather than absolute loss. ie if Jim lost 10lbs his percentage loss would be (10/400)*100 = 2.5%If Sally lost 8lbs her loss would be (8/300)*100 = 2.7% so she would win.

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