Hi, I have a problem with this question from full quant quiz #1, question 20.

I did watch Greg’s explanation but it was not thorough. Can anyone explain how to solve this question? Not to get the answer but how to approach this problem.

The question is says that get the **maximum** money one person can get out of remaining 11 people given at-least everyone should have \$10,000

Thus, give the rest 11 people \$10,000

Now, the budget is \$300,000 thus, subtract the min. amount

Hence, \$190,000 is the max amount one can get **but** we don’t have that as an option thus, select the next greatest amount given in the choices which is E ) 100,000

**OR**

Use answer choices:

Start with **maximum** choice you’re given because the question is asking for **maximum** amount.

Give the rest 11 people \$10,000

^This, step is critical because we need to satisfy this condition in all cases!

Now, if you have $100,000 then the remaining 11 people will have 300,000-100,000 = 200,000

Now, check for the condition 200,000-110,000 = 90,000

Thus, the max amount one of the remaining people can make while still satisfying the condition given is $10,000 + 90,000 = 100,000 . Hence, if you go above 100,000 , you’ll be ensuring that you’ve the greatest amount!

Thank you very much!

the problem was i misunderstood the question. Your solution made me clear about the “ensure” thing.