Question : The pie chart given below shows the number of cars sold by 8 different companies. The total number of cars sold by all these 8 companies is 10,000. The number of cars sold by a particular company is shown as a percentage of the total number of cars sold by all these 8 companies.
Which of the following statements is correct?
I. The average number of cars sold by companies B, F, and H is 100.
II. The ratio of the number of cars sold by A to the number of cars sold by E is 4 : 5.
Option 1: Only I
Option 2: Only II
Option 3: Neither I nor II
Option 4: Both I and II
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Correct Answer: Neither I nor II
Solution :
Given, Total = 10000
Statement I: The average number of cars sold by companies B, F, and H is 100.
Number of cars sold by B = 8% of 10,000 = 800
Number of cars sold by F = 12% of 10,000 = 1200
Number of cars sold by H = 10% of 10,000 = 1000
$\therefore$ Average = $\frac{800+1200+1000}{3}=\frac{3000}{3}=1000$
⇒ Statement I is incorrect.
Statement II. The ratio of the number of cars sold by A to the number of cars sold by E is 4 : 5.
Number of cars sold by A = 20% of 10,000 = 2000
Number of cars sold by E = 16% of 10,000 = 1600
$\therefore$ Ratio = 2000 : 1600 = 5 : 4
⇒ Statement II is incorrect.
Hence, the correct answer is Neither I nor II.
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