# Difficult Pie Charts Solved QuestionData Interpretation Discussion

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: 4/5 What is the ratio of the profit generated by the company R by selling all the Cotton shirts to the profit generated by selling all the Khadi shirts manufactured by it? (Given that the ratio of the profit generated on a sale of one Khadi shirt to the sale of one Cotton shirt by the company R is 3:4).
 ✖ A. 3 : 7 ✖ B. 4 : 3 ✖ C. 21 : 16 ✔ D. None of these

Solution:
Option(D) 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.

Let the profit per Khadi shirt and per Cotton shirt be 3y and 4y respectively.

Assume that the company R manufactures 400 shirts.

So, total profit generated by selling Khadi shirts will be:

$48 × 3y = 144y$

and the total profit generated by selling Cotton shirts will be:

$84 × 4y = 336y$

Required ratio is 7:3

So option D is correct choice.