### Study the following data carefully and answer the questions given below.

In recently held A national level quiz competition , A total number of 1000 students participated in Five different subjects , Physics,chemistry, mathematics, Biology and History. 15% of the total

students participated in History.2/5 of the total students participated in Chemistry Quiz.6% of the total students participated in mathematics quiz . and 25% of the total students participated in physics . The remaining students participated in Biology .One-fourth of the chemistry students are girls .20% of the History students are boys. Half of the students who participated in mathematics is boys. There are 60 girls in physics .80 girls in participated in Biology.

students participated in History.2/5 of the total students participated in Chemistry Quiz.6% of the total students participated in mathematics quiz . and 25% of the total students participated in physics . The remaining students participated in Biology .One-fourth of the chemistry students are girls .20% of the History students are boys. Half of the students who participated in mathematics is boys. There are 60 girls in physics .80 girls in participated in Biology.

**1.The number of girls who participated in History is approximately what per cent of the total students who participated in History ?**

1.82%

2.86%

3.80%

4.76%

5.90%

**2.What is the difference between the number of boys who participated in Chemistry and the number of girls who participated in mathematics ?**

1.280

2.290

3.270

4.260

5.250

**3. If due to to certain problem physics participants were dropped and left the Quiz tournament, then what was the percentage of boys among the total numbers students remaining in Quiz tournament ?**

1.45%

2.56%

3.78%

4.76%

5.89%

**4. What is the ratio of the total number of boys participating in History to the total number of students participating girls in Chemistry ?**

1.4:9

2.3:7

3.5:8

4.6:7

5:3:10

**5. If there is an increase of 10% in total number of girls participating in Chemistry and History , then what is the total number of girls participating in tournament ?**

1.415

2.456

3.459

4.412

5.432

### Solution and Answers :

**1.3**

Percentage = (120*100)/150 = 80%

**2.3**

Boys participated in Chemistry = 300

Girls participated in Mathematics = 30

Difference = 300-30=270

**3.2**

After physics students dropped from tournament

total participants = 1000-250=750

Total boys = 610-190= 420

Percentage = (420*100)/750 = 56%

**4. 5**

Boys participated in History = 30

Girls participated in Chemistry = 100

Ratio = 30:100 = 3:10

**5.4**

If 10% increase in Girls in History = 120*110/100= 132

If 10% increase in Girls in Chemistry = 100*110/100=110

Total number of girls = 132+110+30+60+80=412

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