Pie Chart: Exercise-6


Overview:


Questions and Answers Type:MCQ (Multiple Choice Questions).
Main Topic:Data Interpretation.
Data Interpretation Sub-topic:Pie Graph Questions and Answers.
Number of Questions:5 Questions with Solutions.

Directions: Study the following pie chart and table carefully and answer the questions given below it.



Percentage-wise distribution of the number of TVs sold by a shopkeeper in six months. Total number of TV sold = 30,000.



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The ratio of TVs of company A and company B sold by the shopkeeper.



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  1. What is the ratio of the number of TVs of company A sold by the shopkeeper during February to those sold during March of the same company?

    1. 41:53
    2. 54:49
    3. 29:33
    4. 39:43


Answer: (b) 54:49

Solution: Total number of TVs of company A sold by the shopkeeper during February.$$ = \left[30,000 \times \frac{15}{100} \times \frac{3}{5}\right] $$ $$ = 2700 $$ Total number of TVs of company A sold by the shopkeeper during March.$$ = \left[30,000 \times \frac{14}{100} \times \frac{7}{12}\right] $$ $$ = 2450 $$ Required Ratio $$ = \frac{2700}{2450} $$ $$ = 54:49 $$

  1. If 25 % of TVs of company B sold at a discount during April then how many TV of company B were sold without a discount during April?

    1. 2250
    2. 2050
    3. 1925
    4. 1525


Answer: (a) 2250

Solution: Total number of TVs of company B sold by the shopkeeper during April.$$ = \left[30,000 \times \frac{16}{100} \times \frac{5}{8}\right] $$ $$ = 3000 $$ Number of TVs of company B sold by the shopkeeper at a discount during April.$$ = \left[3000 \times \frac{25}{100}\right] $$ $$ = 750 $$ Hence the number of TVs of company B sold by the shopkeeper without a discount during April. $$ = 3000 - 750 $$ $$ = 2250 $$

  1. What is the average number of TV sold by the shopkeeper during January and February?

    1. 5520
    2. 5225
    3. 5120
    4. 4950


Answer: (d) 4950

Solution: TV sold by the shopkeeper during January and February together. $$ = \left[30,000 \times \frac{33}{100}\right] $$ $$ = 9900 $$ The average number of TV sold by the shopkeeper during January and February. $$ = \frac{9900}{2} $$ $$ = 4950 $$

  1. The number of TVs of company A sold during June is approximately what percent of the number of TVs sold, of company A during May?

    1. 121 %
    2. 129 %
    3. 132 %
    4. 136 %


Answer: (c) 132 %

Solution: Number of TVs of company A sold by the shopkeeper during June.$$ = \left[30,000 \times \frac{18}{100} \times \frac{5}{9}\right] $$ $$ = 3000 $$ Number of TVs of company A sold by the shopkeeper during May.$$ = \left[30,000 \times \frac{19}{100} \times \frac{2}{5}\right] $$ $$ = 2280 $$ Required percentage $$ = \left[\frac{3000}{2280} \times 100\right] \ \% $$ $$ = 131.57 \ \% $$ $$ \approx 132 \ \% $$

  1. If the shopkeeper earned a profit of 2500 Rs. on each TV sold, of company B during March then find the total profit earned by the shopkeeper on TV of company B sold during March?

    1. 4,227,000 Rs.
    2. 4,375,000 Rs.
    3. 4,232,000 Rs.
    4. 4,141,000 Rs.


Answer: (b) 4,375,000 Rs.

Solution: Number of TVs of company B sold by the shopkeeper during March.$$ = \left[30,000 \times \frac{14}{100} \times \frac{5}{12}\right] $$ $$ = 1750 $$ Total profit earned by the shopkeeper on TVs of company B sold during March. $$ = 1750 \times 2500 $$ $$ = 4,375,000 \ Rs. $$