Question Details

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%

Find the ratio of the total number of Cotton garments in fulfillment centers P and T combined to the number of Silk garments in fulfillment center P.

Options

A

21:22

B

18:19

C

23:10

D

23:3

E

23:11

Show Answer

Correct Answer :

Option D

23:3

Solution :

The correct answer is 23:3.

Step 1: Calculate the number of garments for Fulfillment Center P:
Percentage of Cotton garments in center P = 62.5%
Percentage of Silk garments in center P = 100% - 62.5% = 37.5%
Difference in percentage between Cotton and Silk garments in P = 62.5% - 37.5% = 25%

Given that the difference in the number of Cotton and Silk garments for P is 60:

25% of Total Inventory in P=60

Total Inventory in P=600.25=240

Now, calculate the exact count of Cotton and Silk garments in P:

Cotton garments in P=62.5%×240=150

Silk garments in P=37.5%×240=90

Step 2: Calculate the number of garments for Fulfillment Center T:
Percentage of Cotton garments in center T = 72%
Percentage of Silk garments in center T = 100% - 72% = 28%
Difference in percentage between Cotton and Silk garments in T = 72% - 28% = 44%

Given that the difference in the number of Cotton and Silk garments for T is 330:

44% of Total Inventory in T=330

Total Inventory in T=3300.44=750

Now, calculate the count of Cotton garments in T:

Cotton garments in T=72%×750=540

Step 3: Determine the required ratio:
Total Cotton garments in centers P and T combined = 150 + 540 = 690
Silk garments in center P = 90

Required Ratio=69090=233=23:3

Thus, the ratio of the total number of Cotton garments in fulfillment centers P and T combined to the number of Silk garments in fulfillment center P is 23:3.

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