Question : The pie chart given below shows the expenditure incurred by a person on 7 articles. The total expenditure of all these 7 articles is 3600. Expenditure incurred on a particular article is shown in terms of degree concerning the total expenditure incurred in all these 7 articles.
What is the average expenditure incurred on articles P and Q?
Option 1: 875
Option 2: 905
Option 3: 885
Option 4: 950
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Correct Answer: 950
Solution :
The total expenditure of all articles = 3600
Expenditure incurred on article P = $70^\circ$
= $\frac{70^\circ}{360^\circ}\times3600=700$
Expenditure incurred on article Q = $120^\circ$
= $\frac{120^\circ}{360^\circ}\times3600=1200$
$\therefore$ Average $=\frac{\text{P+Q}}{2}=\frac{\text{700+1200}}{2}=\frac{\text{1900}}{2}=950$
Hence, the correct answer is 950.
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