Common Information
Answer the questions on the basis of the information given below.
There are only four companies’ viz. P, Q, R and S that manufacture shirts in the market. The shirts manufactured by these companies are made of one or the other of the five types of cloth viz. Silk, Cotton, Linen, Khadi and Polyester.
The following pie-charts provide information about the number of shirts of each of the types of cloth manufactured by the company as a percentage of the total number of shirts manufactured by that company.
The following chart provides information about the number of Linen shirts manufactured by each of the companies as a percentage of the total number of Linen shirts manufactured by all the companies.
Q. |
Common Information Question: 5/5 Which of the following statement(s) (is/are) true? I. The number of Cotton shirts manufactured by Q is equal to the number of Polyester shirts manufactured by S. II. The number of Linen shirts manufactured by P is equal to the number of Cotton shirts manufactured by Q. III. Total number of Cotton shirts manufactured by all the companies is 10% less than the total number of Linen shirts manufactured by the all companies. |
✖ A. | I only |
✔ B. | II only |
✖ C. | III only |
✖ D. | II and III |
Solution:
Option(B) is correct
Let the total number of Linen shirts manufactured by all the given companies $= X$
Therefore, the number of Linen shirts manufactured by the companies P, Q, R and S is:
$\dfrac{X}{4}, \dfrac{X}{4}, \dfrac{X}{5}$ and $\dfrac{3X}{10}$ respectively.
Therefore, the total number of shirts manufactured by the companies P, Q, R and S is:
$\dfrac{5X}{6}, \dfrac{5X}{4}, \dfrac{4X}{3}$ and $\dfrac{6X}{5}$ respectively.
The following table lists down the number of shirts of each type of cloth manufactured by each of the companies, when the total number of Linen shirts manufactured is 100.
Table below can be scrolled horizontally
Company | Silk | Cotton | Linen | Khadi | Polyester | Total |
---|---|---|---|---|---|---|
P |
15 |
20 |
25 |
10 |
13.33 |
83.33 |
Q |
37.5 |
25 |
25 |
18.75 |
18.75 |
125 |
R |
40 |
28 |
20 |
16 |
29.33 |
133.33 |
S |
22.8 |
19.2 |
30 |
24 |
24 |
120 |
Referring to the table given above, it can be concluded that only statement II is correct.