**Directions : Study the following pie chart and line chart carefully and answer the questions given beside.**

**The pie chart shows the number of students study in five different schools as a percentage of the total number of students studies in all five schools A, B, C, D, and E. All the students of the schools are divided into two houses Red and Green. The total number of students in all five schools is 15000.**

Percentage of students

**1 If ratio of number of girls in green house to red house in school B is 16:17 then find difference between number of boys and girls in green house. **

A 140

B 180

C 120

D 170

E 210

**Correct Option: D**

**Total students = 20% of 15000 = 3000**

**Total girls = 1650**

**Total boys = 3000 – 1650 = 1350**

**Boys in red house = 720**

**Boys in green house = 1350 – 720 = 630**

**Girls in green house = 1650 × 16/33 = 800**

**Difference = 800 – 630 = 170**

**Hence, option D is correct.**

**2 What is the ratio of girls in red house to green house in school C if total number of students in green house of school C is 1083? **

A 18 : 11

B 11 : 15

C 20 : 13

D 24 : 19

E 10 : 3

**Correct Option: C**

**For school C:**

**Total students = 15% of 15000 = 2250 **

**Total girls = 990**

**Total boys = 2250 – 900 = 1260**

**Boys in red house = 567**

**Boys in green house = 1260 – 567 = 693**

**Girls in green house = 1083 – 690 = 390**

**Girls in red house = 990 – 390 = 600**

**Ratio = 600 : 390 = 20 : 13**

**Hence, option C is correct.**

**3 Number of boys in green house of school A is what percent of number of girls in green house of school A if total students in red house of school A is 750?**

A 110%

B 120%

C 90%

D 70%

E 150%

**Correct Option: A**

**For school A:**

**Total students = 12% of 15000 = 1800**

**Total girls = 810**

**Total boys = 1800 – 810 = 990**

**Boys in red house = 440**

**Boys in green house = 990 – 440 = 550**

**Girls in red house = 750 – 440 = 310**

**Girls in green house = 810 – 310 = 500**

**Percentage = 550 × 100/500 = 110%**

**Hence, option A is correct.**

**4 What is the total number of students in red house of school E if number of girls in green house of school E is 1155?**

A 2245

B 2205

C 2285

D 2175

E 2255

**Correct Option: B**

**For school E:**

**Total students = 28% of 15000 = 4200 **

**Total girls = 2100**

**Total boys = 4200 – 2100 = 2100**

**Boys in red house = 1260**

**Boys in green house = 2100 – 1260 = 840**

**Girls in red house = 2100 – 1155 = 945**

**Total students in red house = 1260 + 945 = 2205**

**Hence, option B is correct.**

**5 What percent of girls are in green house out of total girls of school D if number of girls in red house of school D is 305 more than the boys in same house?**

A 40%

B 50%

C 20%

D 60%

E 80%

**Correct Option: B**

**For school D:**

**Total students = 25% of 15000 = 3750**

**Total girls = 2250**

**Total boys = 3750 – 2250 = 1500**

**Boys in red house = 820**

**Boys in green house = 1500 – 820 = 680**

**Girls in red house = 820 + 305 = 1125**

**Girls in green house = 2250 – 1125**

**Percentage = 1125 × 100/2250 = 50%**

**Hence, option B is correct.**