The pie chart given below shows the sales of 7 different companies. The total sales of all these 7 companies are 3600. The sale of a particular company is shown in terms of degree with respect to the total sales of all these 7 companies.

Which of the following statement is correct?
I. The ratio of average sale of company P and Q to the average sale of T and U is 9 : 10.
II. The difference between the total sale of company R and S and the sale of V is 1050.

Given:

The total sales of all 7 companies is 3600.

Concept Used:

Angle of a pie-chart divided by 360 represents its percentage out of the whole.

Calculation:

Let's first find out the sales of each company:

• Company P: \(3600\times\frac{9}{360}\) = 90
• Company Q: \(3600\times\frac{36}{360}\) = 360
• Company R: \(3600\times\frac{140}{360}\) = 1400
• Company S: \(3600\times\frac{50}{360}\) = 500
• Company T: \(3600\times\frac{15}{360}\) = 150
• Company U: \(3600\times\frac{35}{360}\) = 350
• Company V: \(3600\times\frac{75}{360}\) = 750

 I. Average sale of company P and Q is: \(\frac{90+360}{2}\) = \(\frac{450}{2}\)

Average sale of company T and U is: \(\frac{150+350}{2}\) = \(\frac{500}{2}\)

Ration: \(\frac{\frac{450}{2}}{\frac{500}{2}}\) = \(\frac{450}{500}\) = \(\frac{9}{10}\)

Hence, statement I is correct.

 II. Total sale of company R and S is: 1400+500 = 1900

Sale of company V is: 750

Difference: 1900-750 = 1150

Hence, statement II is incorrect.

∴ Only statement I is correct.