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It is true when Both shops marked price and amount prepared is the same. For example:
Both shops A and B prepared 100 drinks and both shops sold it for $1
If shop A sold 90% of the drinks they prepared and shop B sold only 75% of drinks they prepared, shop A is going to earn more profit than B.

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Joseph statement is not true sometimes when the drink shop marked price compared to other shops is higher and the ingredients are the same price. For example:
The ingredients to make a cup of the drink cost 50 cents
Shop A sold 90% of the drinks and prepared 50 drinks and a drink is for $1.50
Shop B sold 80% of the drinks at $2 and prepared 100 drinks.
Although shop A sold a higher percentage of drinks,  Shop B made more profit from the higher marked price.

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It is not true when the number of glasses prepared for all the stalls are different.
(e.g. The number of glass is greater than in stall A is greater than stall B and the price of each glass is the same, but the percentage of glass sold for B is greater, it might make a big difference and it could flip like stall A or B might gain the most profit.)

It is not true when the cost of each glass for the stalls are lesser than the amount used for the ingredients. (e.g. If the cost of each glass is $1.50, and the ingredients used to make this glass is $2.00 in total for 1 glass, you would not earn profit.)

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In the situation when the price of one type of drink is more expensive than the other, even if the drink of lower cost sold a higher percentage of drinks than the more expensive drink, the difference in price might be able to cover up the difference in percentage of the more expensive drink

eg.
drink A: sold 90% of its 100 prepared drinks ($0.10 each)
drink B: sold 5% of its 100 prepared drinks
($5 each)

$0.10 x 90 = $9
$5 x 5 = $25
Drink B still made more profit

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Although the stall with highest percentages of drinks sold doesn't mean it would earn the most profit because the marked price could be lesser. Example stall A had the highest percentage of drinks sold, but the number of glasses sold is the least

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For example, for stall A, 87.5% of the drinks were sold while for stall b, only 85% of its drinks were sold. Yet, stall B's number of drinks sold is 187 while stall a's number of drinks sold is only 175. Hence, the stall with the highest percentage of drinks sold does not earn the most profit.

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The money gets stolen /j

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The percentage of drinks that they sold is low enough such that other competitors who have more drinks make more profit.

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This statement is true when all the stalls sell their drinks at the same price and they make the same amount of drinks. When they all sell their drinks at the same price, the stall with the highest percentage of drinks sold would earn the most as compared to the other stalls, it has more drinks sold at the same price. Since the only thing different is the percentage of drinks sold, the profit earned would be the most.

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This statement is true when the changed variable is the percentage of total number of drinks sold (exp. X, Y, Z shops sell drinks of the same cost $1.20 . In contrast to this example, it depends on the percentage of drinks sold.

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It is not true when the total number of drinks is much lesser and/or the drinks are very cheap compared to the other stalls.

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The cost to make the drink compared to the marked price of the drink of the shop that sold the highest percentage has so little difference such that the profit of other competitors with lower cost to make the drink and/or higher marked price is higher.

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When all the stalls have the same number of glasses prepared and they sell them at the same price, no discount added, same rent, operation, etc... the stall with the highest percentage of drinks sold would earn the most profit.

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This statement is true when the only changed variable between all stalls is the percentage of drinks sold.
eg. when stall A,B and C sell the same no. of drinks at the same price with no discount and the same amount of profit per drink.

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This statement is TRUE if the shop's drink's marked price is higher than the rest.

This statement is ALSO TRUE if the shop's 100% of cups is more than the other shop's 100% of cups.

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This statement is true when...
Example:
Stall A prepared 200 cups with an preparation cost of $0.15. Stall A then sold 75% of all the prepared drinks or 150. The cost of the drink is $1.50.
Stall A's profit margin would be $150.

Stall B prepared 200 cups with an preparation cost of $0.15. Stall B then sold 65% of all the prepared drinks or 130. The cost of the drink is $1.50.
Stall B's profit margin would be $130.

As a result, Stall A has a higher profit margin after selling the highest percentage of drinks sold.