# Pie Chart: Exercise-2

#### 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-charts carefully to answer the questions given below.

Percentage of students enrolled in different streams in a college.

Total number of students are 1500. Percentage of girl-students enrolled in different streams in the college.

Total number of girl-students are 500. 1. What is the total number of boys enrolled in biology and math together?

1. 220
2. 250
3. 260
4. 280

Solution: Number of girls enrolled in biology, $$= 500 \times \frac{5}{100} = 25$$ Number of boys enrolled in biology, $$= \left(1500 \times \frac{10}{100} - 25\right)$$ $$= 125$$ Number of girls enrolled in math, $$= 500 \times \frac{5}{100} = 25$$ Number of boys enrolled in math, $$= \left(1500 \times \frac{10}{100} - 25\right)$$ $$= 125$$ Then, total number of boys enrolled in biology and math together, $$= 125 + 125 = 250$$

1. What is the respective ratio of number of girls enrolled in commerce to the number of boys enrolled in science?

1. 2:1
2. 3:2
3. 1:2
4. 2:3

Solution: Number of girls enrolled in commerce, $$= 500 \times \frac{25}{100} = 125$$ Number of girls enrolled in science, $$= 500 \times \frac{10}{100} = 50$$ Number of boys enrolled in science, $$= \left(1500 \times \frac{20}{100} - 50\right)$$ $$= 250$$ Then, respective ratio, $$= 125 : 250$$ $$= 1 : 2$$

1. What is the total number of girls enrolled in history and arts together?

1. 275
2. 250
3. 225
4. 215

Solution: Number of girls enrolled in history, $$= 500 \times \frac{15}{100} = 75$$ Number of girls enrolled in arts, $$= 500 \times \frac{40}{100} = 200$$ Then, total number of girls enrolled in history and arts together, $$= 75 + 200$$ $$= 275$$

1. If 20% of girls enrolled in commerce change their stream to history then what will be the new number of history students altogether?

1. 175
2. 165
3. 145
4. 125

Solution: Number of girls enrolled in history, $$= 500 \times \frac{15}{100} = 75$$ Number of boys enrolled in history, $$= \left(1500 \times \frac{10}{100} - 75\right)$$ $$= 75$$ Number of girls enrolled in commerce, $$= 500 \times \frac{25}{100} = 125$$ 20% girls enrolled in commerce change their stream to history, $$= 125 \times \frac{20}{100} = 25$$ Then, the new number of history students altogether, $$= 75 + 75 + 25 = 175$$

1. Number of girls enrolled in commerce, arts and history forms what percent of total number of students in the college?

1. 25.21%
2. 26.67%
3. 24.22%
4. 21.34%

Solution: Number of girls enrolled in commerce, $$= 500 \times \frac{25}{100} = 125$$ Number of girls enrolled in arts, $$= 500 \times \frac{40}{100} = 200$$ Number of girls enrolled in history, $$= 500 \times \frac{15}{100} = 75$$ Then, total number of girls enrolled in commerce, arts and history together, $$= 125 + 200 + 75 = 400$$ now, required percentage, $$= \frac{400}{1500} \times 100$$ $$= 26.67 \ \%$$