Data Interpretation :: Pie Charts :: Pie Chart 10

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• Pie Charts - Important Formulas and Facts

The pie-chart or a pie-graph is a method of representing a given numerical data in the form of sectors of a circle.
The sectors of the circle are constructed in such a way that the area of each sector is proportional to the corresponding value of the component of the data. From geometry, we know that the area of the sector of a circle is proportional to the central angle.
So, the central angle of each sector must be proportional to the corresponding value of the component.
Since the sum of all the central angles is 360°, we have

Central angle of the component =((Value of the component/Total value) X 360) ^o

What is the total number of mobile phones sold of Company B during August and September together?

Answer:

Explanation:

Mobile phones of B sold during August

= $\frac{22}{100}\times\frac{5}{9}\times45000$

= 5500

Mobile phones of B sold during September

= $\frac{25}{100}\times\frac{2}{5}\times45000$

= 4500

Required number of phones sold = (5500 + 4500) = 10000.

The number of mobile phones sold of Company A during July is approximately what percent of the number of mobile phones sold of Company A during December?

Answer:

Explanation:

No. of mobile phones sold by A during July

= $\frac{17}{100}\times\frac{8}{15}\times45000$

= 4080

No. of mobile phones sold by A during December

= $\frac{16}{100}\times\frac{7}{16}\times45000$

= 3150

Let 4080 = x% of 3150 Then,

= $\frac{x}{100}\times3150 = 4080$

x = $\frac{4080\times2}{63}$ = 129.5 = 130

Required percentage = 130%.

If the shopkeeper earned a profit of Rs 433 on each mobile phone sold of Company B during October, what was his total profit earned on the mobile phones of that company during the same month?

Answer:

Explanation:

No. of mobile phones sold by B during October

= $\frac{8}{100}\times\frac{5}{12}\times45000$

= 1500

Required profit =  (1500 x 433) =  649500/-

If 35 % of the mobile phones sold by Company A during November were sold at a discount, how many mobile phones of Company A were sold without a discount, during that month?

Answer:

Explanation:

No. of mobile phones sold by A during November

= $\frac{12}{100}\times\frac{7}{15}\times45000$

= 2520

No. of phones sold by A in November without discount

= $\frac{65}{100}\times2520$ = 1638

What is the ratio of the number of mobile phones sold of Company B during July to those sold during December of the same company?

Answer:

Explanation:

No. of mobile phones sold by B during July

= $\frac{17}{100}\times\frac{7}{15}\times45000$

= 3570

No. of mobile phones sold by B during December

= $\frac{16}{100}\times\frac{9}{16}\times45000$ 

= 4050

Required ratio : $\frac{3570}{4050}$ = $\frac{119}{135}$

= 119:135

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• Pie Charts - Pie Chart 19