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%

If 20% of the total inventory from fulfillment center P is removed and transferred to fulfillment center R, resulting in the total number of Cotton garments at center R becoming 347, find the number of Silk garments transferred from center P.

The correct answer is 30.

Step 1: Calculate the total inventory and Cotton/Silk breakdown for Fulfillment Center P.

From the given table, for Fulfillment Center P:

Percentage of Cotton garments = 62.5%

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

Difference in percentage between Cotton and Silk garments = 62.5% - 37.5% = 25%

The table shows that the numerical difference between Cotton and Silk garments for center P is 60.

Let $N_P$ be the total inventory at center P.

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

$0.25\times N_P=60$

$N_P=\frac{60}{0.25}=240$

Now, calculate the number of Cotton and Silk garments initially present at center P:

Number of Cotton garments at P = 62.5% of 240 = 150

Number of Silk garments at P = 37.5% of 240 = 90

Step 2: Calculate the initial number of Cotton garments at Fulfillment Center R.

From the given table, for Fulfillment Center R:

Percentage of Cotton garments = 70%

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

Difference in percentage between Cotton and Silk garments = 70% - 30% = 40%

The numerical difference between Cotton and Silk garments for center R is 188.

Let $N_R$ be the total inventory at center R.

$40\%\text{of}{N}_R=188$

$0.40\times N_R=188$

$N_R=\frac{188}{0.40}=470$

Number of initial Cotton garments at center R = 70% of 470 = 329

Step 3: Calculate the total inventory transferred from Center P to Center R.

20% of the total inventory from fulfillment center P is transferred to fulfillment center R.

Total garments transferred from P = 20% of 240 = 48

Step 4: Determine the number of Silk garments transferred from Center P.

After the transfer, the total number of Cotton garments at center R becomes 347.

Number of Cotton garments transferred from P = New Cotton garments at R - Initial Cotton garments at R

$\text{Cotton garments transferred}=347-329=18$

Since the total number of garments transferred from center P is 48:

Number of Silk garments transferred = Total garments transferred - Cotton garments transferred

$\text{Silk garments transferred}=48-18=30$

Thus, the number of Silk garments transferred from center P is 30.