Directions: Read the following information carefully and answer the question based on it.

The table provided below depicts data regarding the inventory of two categories of garments—Cotton and Silk—across five different fulfillment centers (P, Q, R, S, and T). It displays the numerical difference between the number of Cotton garments and Silk garments, along with the percentage share of Cotton garments in relation to the overall inventory of garments for each fulfillment center.

Fulfillment Center	Difference between Cotton and Silk garments	Percentage of Cotton garments relative to total inventory
P	60	62.5%
Q	198	66.5%
R	188	70%
S	76	60%
T	330	72%

The combined total of the number of Silk garments in fulfillment center Q and the number of Cotton garments in fulfillment center R is how much less than the number of Cotton garments in fulfillment center T?

The correct answer is 10.

Step-by-step Explanation:

Let the total inventory of garments in any fulfillment center be $T$.

If Cotton garments account for $C\%$ of total inventory, then Silk garments account for the remaining percentage:

$\text{Silk \%}=100\%-C\%$

The percentage difference between Cotton and Silk garments is:

$\text{Difference \%}=C\%-(100\%-C\%)=(2C-100)\%$

1. Fulfillment Center Q:

Percentage of Cotton garments = 66.5%

Percentage of Silk garments = $100\%-66.5\%=33.5\%$

Difference in percentage = $66.5\%-33.5\%=33\%$

Given numerical difference = 198

Total inventory of center Q = $\frac{198}{33\%}=\frac{198\times 100}{33}=600$

Number of Silk garments in center Q = $33.5\%\text{ of }600=0.335\times 600=201$

2. Fulfillment Center R:

Percentage of Cotton garments = 70%

Percentage of Silk garments = $100\%-70\%=30\%$

Difference in percentage = $70\%-30\%=40\%$

Given numerical difference = 188

Total inventory of center R = $\frac{188}{40\%}=\frac{188\times 100}{40}=470$

Number of Cotton garments in center R = $70\%\text{ of }470=0.70\times 470=329$

3. Fulfillment Center T:

Percentage of Cotton garments = 72%

Percentage of Silk garments = $100\%-72\%=28\%$

Difference in percentage = $72\%-28\%=44\%$

Given numerical difference = 330

Total inventory of center T = $\frac{330}{44\%}=\frac{330\times 100}{44}=750$

Number of Cotton garments in center T = $72\%\text{ of }750=0.72\times 750=540$

Calculations:

Combined total of Silk garments in Q and Cotton garments in R:

$201+329=530$

Required difference from Cotton garments in T:

$540-530=10$

Thus, the combined total is 10 less than the number of Cotton garments in fulfillment center T.