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.**

- 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?
- 41:53
- 54:49
- 29:33
- 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 $$ = \frac{2700}{2450} $$ $$ = 54:49 $$

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 $$ = \frac{2700}{2450} $$ $$ = 54:49 $$

- 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?
- 2250
- 2050
- 1925
- 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. $$ = 3000 - 750 $$ $$ = 2250 $$

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. $$ = 3000 - 750 $$ $$ = 2250 $$

- What is the average number of TV sold by the shopkeeper during January and February?
- 5520
- 5225
- 5120
- 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. $$ = \frac{9900}{2} $$ $$ = 4950 $$

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. $$ = \frac{9900}{2} $$ $$ = 4950 $$

- 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?
- 121 %
- 129 %
- 132 %
- 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 $$ = \left[\frac{3000}{2280} \times 100\right] \ \% $$ $$ = 131.57 \ \% $$ $$ \approx 132 \ \% $$

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 $$ = \left[\frac{3000}{2280} \times 100\right] \ \% $$ $$ = 131.57 \ \% $$ $$ \approx 132 \ \% $$

- 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?
- 4,227,000 Rs.
- 4,375,000 Rs.
- 4,232,000 Rs.
- 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. $$ = 1750 \times 2500 $$ $$ = 4,375,000 \ Rs. $$

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