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

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

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

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. $$= 1750 \times 2500$$ $$= 4,375,000 \ Rs.$$