Question

The difference between the number of shoes of Reebok and Nike is same as the difference between which of the following two brands?

A. Puma and Adidas
B. Reebok and Adidas
C. Vans and Nike
D. Nike and Adidas

Answer 1

Hint: We will first calculate the percentage difference between the percentage of Reebok and the percentage of Nike. Then, calculate the difference in percentages between every two possible pairs of brands.

Complete step by step Answer:

First of all, we will calculate the difference between the percentage of Reebok and the percentage of Nike.
Here, the percentage of reebok is 23% and the percentage of Nike is 18%.
Therefore, the difference is $25\% - 18\% = 5\% $
Now, calculate the difference between every two given brands
First, we will calculate the difference between Puma and Vans
We are given that the percentage of Puma is 21% and Vans is 13%.
Here, the difference is $21\% - 13\% = 8\% $
Similarly, the difference between Puma and Adidas is $25\% - 21\% = 4\% $
Now, the difference between Puma and Nike is $21\% - 18\% = 3\% $
And the difference between Puma and Reebok is $23\% - 21\% = 2\% $
It is equal to the difference between the percentages of Reebok and the percentage of Adidas, as we can clearly see.
Next, find the difference in the percentages of Vans and Adidas is $25\% - 13\% = 8\% $
We can find the difference in the percentages of Vans and Reebok is $23\% - 13\% = 10\% $
Now, the difference in the percentage of Vans and Nike is $18\% - 13\% = 5\% $
The difference between the percentage of Adidas and Nike is $25\% - 18\% = 7\% $
The difference between the percentage of Reebok and Adidas is $25\% - 23\% = 2\% $
Hence, the percentage difference between Reebok and Nike is the same as the percentage difference of Vans and Nike which is equal to 5%.

Note: We can also do this question by calculating the difference of percentages of the given options only. The difference is the same as the difference of the percentage of Reebok and percentage of Nike. The sum of percentages of all the brands given in the graph is 100%.