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%

Calculate the average number of Cotton garments across fulfillment centers Q, S, and T.

Correct Answer: The correct answer is 389.

To find the average number of Cotton garments across fulfillment centers Q, S, and T, we need to calculate the total inventory and the specific number of Cotton garments for each of these three fulfillment centers.

Step 1: Calculate the number of Cotton garments at Fulfillment Center Q

Percentage of Cotton garments = 66.5%
Percentage of Silk garments = 100% - 66.5% = 33.5%
Difference in percentage between Cotton and Silk garments = 66.5% - 33.5% = 33%

We are given that the numerical difference between Cotton and Silk garments at center Q is 198:

$33\%\text{of Total Inventory}=198$

$\text{Total Inventory at Q}=\frac{198}{0.33}=600$

$\text{Number of Cotton garments at Q}=66.5\%\times 600=399$

Step 2: Calculate the number of Cotton garments at Fulfillment Center S

Percentage of Cotton garments = 60%
Percentage of Silk garments = 100% - 60% = 40%
Difference in percentage between Cotton and Silk garments = 60% - 40% = 20%

We are given that the numerical difference between Cotton and Silk garments at center S is 76:

$20\%\text{of Total Inventory}=76$

$\text{Total Inventory at S}=\frac{76}{0.20}=380$

$\text{Number of Cotton garments at S}=60\%\times 380=228$

Step 3: Calculate the number of Cotton garments at Fulfillment Center T

Percentage of Cotton garments = 72%
Percentage of Silk garments = 100% - 72% = 28%
Difference in percentage between Cotton and Silk garments = 72% - 28% = 44%

We are given that the numerical difference between Cotton and Silk garments at center T is 330:

$44\%\text{of Total Inventory}=330$

$\text{Total Inventory at T}=\frac{330}{0.44}=750$

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

Step 4: Calculate the average number of Cotton garments across Q, S, and T

Sum of Cotton garments at centers Q, S, and T:

$\text{Sum}=399+228+540=1167$

Average number of Cotton garments:

$\text{Average}=\frac{1167}{3}=389$

Thus, the average number of Cotton garments across fulfillment centers Q, S, and T is 389.