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%

What is the combined number of Cotton garments in fulfillment centers P and T expressed as a percentage of the combined number of Silk garments in fulfillment centers P and T?

The correct answer is 230%.

To find the combined number of Cotton garments in fulfillment centers P and T as a percentage of the combined number of Silk garments in fulfillment centers P and T, we first calculate the individual counts of Cotton and Silk garments in both centers.

Step 1: Calculate garments for Fulfillment Center P

Let the total garment inventory in fulfillment center P be $T_P$.

Percentage of Cotton garments = 62.5%
Percentage of Silk garments = 100% - 62.5% = 37.5%

The difference in percentage between Cotton and Silk garments is:

$62.5\%-37.5\%=25\%$

We are given that the numerical difference between Cotton and Silk garments is 60. Therefore:

$25\%\text{ of }{T}_P=60$

$\frac{25}{100}\times T_P=60$

$T_P=\frac{60\times 100}{25}=240$

Now, we can find the number of Cotton and Silk garments in fulfillment center P:

$\text{Cotton garments in P}=62.5\%\text{ of }240=\frac{5}{8}\times 240=150$

$\text{Silk garments in P}=37.5\%\text{ of }240=\frac{3}{8}\times 240=90$

Step 2: Calculate garments for Fulfillment Center T

Let the total garment inventory in fulfillment center T be $T_T$.

Percentage of Cotton garments = 72%
Percentage of Silk garments = 100% - 72% = 28%

The difference in percentage between Cotton and Silk garments is:

$72\%-28\%=44\%$

We are given that the numerical difference between Cotton and Silk garments is 330. Therefore:

$44\%\text{ of }{T}_T=330$

$\frac{44}{100}\times T_T=330$

$T_T=\frac{330\times 100}{44}=750$

Now, we can find the number of Cotton and Silk garments in fulfillment center T:

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

$\text{Silk garments in T}=28\%\text{ of }750=0.28\times 750=210$

Step 3: Calculate combined totals and required percentage

Combined Cotton garments in fulfillment centers P and T:

$150+540=690$

Combined Silk garments in fulfillment centers P and T:

$90+210=300$

Expressing the combined Cotton garments as a percentage of the combined Silk garments:

$\text{Required Percentage}=\frac{690}{300}\times 100\%$

$\text{Required Percentage}=2.3\times 100\%=230\%$

Thus, the combined number of Cotton garments in P and T is 230% of the combined number of Silk garments in P and T.