# Moderate Pie Charts Solved QuestionData Interpretation Discussion

Common Information

An Indian automobile company ‘Baruti Ltd’ sells only six brands of cars namely Bagon-R, Valeno, Pen, B-Star, TX4 and Ulto. The company has five regional offices in India located at Gurgaon, Surat, Kolkata, Indore and Vijaywada.

Pie chart-I shows the percentage of sales volume, region wise, of ‘Baruti Ltd’ as compared to the combined sales volume of the four regions mentioned in this Pie chart.

Pie chart-II shows the percentage of sales volume, brand-wise, of ‘Baruti Ltd’ as compared to the combined sales volume of the five brands mentioned in this Pie chart.

Actual percentage contribution of the Indore region is 16.67 % to the total all India sales of 1500 cars and the total brand Valeno sales is half the total sales of Vijaywada region.

 Q. Common Information Question: 2/3 What is the approximate percentage contribution (volume wise) of brand ‘Bagon-R’ sales to the total all India sales of ‘Baruti Ltd’?
 ✖ A. 6.66 ✖ B. 8.51 ✔ C. 7.73 ✖ D. 7.51

Solution:
Option(C) is correct

Percentage contribution of Indore region is 16.67%, when the sales of Surat region is also included. If the sales of Surat is x% of the other four regions combined, then,

$=\dfrac{20.83}{100+x}×100$

$=16.67\%$

$⇒ x = 25$

⇒ Percentage contribution of Surat:

$= \dfrac{25}{125}×100$

$=20$

⇒ Actual percentage contribution of Vijaywada region:

$= \dfrac{16.67}{125}×100$

$= 13.33$

⇒ Actual percentage contribution of Valeno:

$= \dfrac{13.33}{2}$

$= 6.67$

⇒ Actual percentage contribution of B-star to the total sales:

$= \dfrac{33.29}{106.67}×100$

$= 31.19$

⇒ Actual Contribution of Gurgaon to the total sales:

$= \dfrac{37.5}{125}×100$

$= 30\%$

Actual contribution of the brand Bagon-R:

$=\dfrac{8.29}{106.67}×100$

$= \textbf{7.73%}$