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Directions (1 - 5): Study the following pie-chart and table carefully and answer the questions given below:
Percentage-wise Distribution of the Number of Mobile phones Sold by a Shopkeeper During Six Months. Ratio of mobile phones sold of Company A & Company B.
Direction image of Pie Chart chapter
Total number if mobile phones sold = 45000
Month Ratio (A : B)
July 8 : 7
August 4 : 5
September 3 : 2
October 7 : 5
November 7 : 8
December 7 : 9
1
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?
Discuss
Answer & Solution
Number of mobile phones sold by B during October
$$\eqalign{ & = 45000\times\frac{8}{100}\times\frac{5}{12} \cr & = 1500 \cr & \therefore \text{Required profit} \cr & = \text{Rs. }\left(1500\times433\right) \cr & = \text{Rs. 649500} \cr} $$
2
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?
Discuss
Answer & Solution
Number of mobile phones sold by B during July
$$\eqalign{ & = 45000\times\frac{17}{100}\times\frac{7}{15} \cr & = 3570 \cr} $$
Number of mobile phones sold by B during December
$$\eqalign{ & = 45000\times\frac{16}{100}\times\frac{9}{16} \cr & = 4050 \cr & \therefore \text{Required ratio} \cr & = \frac{3570}{4050} \cr & = \frac{119}{135} \cr & = 119:135 \cr} $$
3
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?
Discuss
Answer & Solution
Number of mobile phones sold by A during July
$$\eqalign{ & = 45000\times\frac{17}{100}\times\frac{8}{15} \cr & = 4080 \cr} $$
Number of mobile phones sold by A during December
$$\eqalign{ & = 45000\times\frac{16}{100}\times\frac{7}{16} \cr & = 3150 \cr & \text{Let 4080 = }x\%\text{ of 3150} \cr & \text{Then,} \cr & \frac{x}{100}\times3150 = 4080 \cr & \Rightarrow x = \frac{4080\times2}{63} \cr & \Rightarrow x = 129.5 \cr & \Rightarrow x \approx 130 \cr & \text{Required percentage = 130%}\cr} $$
4
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?
Discuss
Answer & Solution
Number of mobile phones sold by A during November
$$\eqalign{ & = 45000\times\frac{12}{100}\times\frac{7}{15} \cr & = 2520 \cr} $$
Number of phones sold by A in November without discount
$$\eqalign{ & = 2520\times\frac{65}{100} \cr & = 1638 \cr} $$
5
What is the total number of mobile phones Sold of company B during August and September together?
Discuss
Answer & Solution
Mobile phones of B sold during August
$$\eqalign{ & = 45000\times\frac{22}{100}\times\frac{5}{9} \cr & = 5500 \cr} $$
Mobile phones of B sold during September
$$\eqalign{ & = 45000\times\frac{25}{100}\times\frac{2}{5} \cr & = 4500 \cr} $$
∴ Required number of phones sold
  = 5500 + 4500
  = 10000