GMAT Club World Cup 2022 (DAY 1): Mbappé has two types of sneakers

Lets assume that Mbappé has 100 numbers of blue and 100 numbers of red sneakers.

Given

1) He puts equal number of sneakers in each of his suitcases.
2) The first suitcase has 27% of all his red sneakers in the first suitcase.

Statement 1

As No suitcase has more red sneakers than the first one, we need minimum of 4 suitcases.

We want to keep the number of sneakers in each suitcase same, the surplus from one will compensate the other color.

As we already have 27% of red sneakers in suitcase 1, the percentage of blue sneakers has to be less than 25% to maintain the constant.

Hence I is sufficient.

Statement 2

We know that each suitcase has equal number of sneakers. To keep the number constant we need less than 25% in suitcase 1.

Hence D

Usually with percent questions, its a good practice to start with 100 as a base value to test your options, now we can test out other options as well to eliminate and check other possibilities
So, let Blue Sneakers = 100 and Red Sneakers = 100, so total sneakers = 200

(1) No suitcase has more red sneakers than the first one.

1st suitcase: Number of red sneakers = 27
Total sneakers = 200 and there is the condition that all suitcases have equal number of sneakers
So each suitcase needs to have sneakers equal to a factor of 200 which is greater than 27 (number of red sneakers in this case). Possible options = 40/50/100
Blue sneakers = 13/23/73

Now in first 2 options, percent of blue sneakers are less than 25 percent
Let us examine the last option, if blue sneakers in suitcase 1 are 73, that means total sneakers in suitcase 1 are 100 and suitcase 2 will also need 100 sneakers to make the 200 because each suitcase has equal number of sneakers BUT IN THIS CASE NUMBER OF RED SNEAKERS IN SUITCASE 1 WILL BE LESS THAN IN SUITCASE 2, so this options cannot be right

13/23 are the only 2 options for number of blue sneakers and percent wise 13/23 which are both less than 25

Since it involves percentages, we can use any set of numbers even with red more than blue or blue more than red, answer shall be the same in all

SUFFICIENT

(2) The first suitcase has between 23% and 27% of his blue sneakers.

We already examined in statement 1 that percent of blue sneakers to satisfy the condition of each suitcase having equal number of sneakers has to be 13/23 and this statement says its between 23 and 27 so 23 is the only option that applies. Less than 25 percent

SUFFICIENT

Answer - D