# Venn Diagrams and Venn Diagram with % S YouTube Lecture Handouts (Percent Venn Diagrams)

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- 35 are yellow
- 20 are red
- 15 are both red and yellow

## Find

- Total blocks (40)
- Are only yellow (20) vs yellow (35)

35 are yellow, 20 are red, 30 are blue, 5- yellow and red, 2 red & blue, 2 - blue & yellow, 6 have only 2 colors.

**Only**red (14) vs. red (20)**Only/exactly**red**and**yellow (4) vs. red**and**yellow (1)**Only/exactly**either red**or**yellow (43) vs. either red**or**yellow (45) vs.**either**red**or**yellow**or**both (50)- Are not
**either**red**or**yellow (27) vs. are not**both**red**and**yellow (72) - Red and
__one__other color (5) vs. red and other color (6) **Exactly**2 colors (6) vs.**at least**2 colors (7)- All three (1) and total (77)

In a class of 60 students, 40 % can speak only Hindi, 25 % can speak only English, and rest of the students can speak both the languages. How many students can speak English?

In examination, 65 % of the students passed in Mathematics, 48 % passed in Physics, and 30 % passed in both. What percent of students failed in both the subjects? If there are 200 students, then find the number of failed students.

In an examination 20 % of the students failed in Math, 15 % in English, and 25 % in Hindi. If 5 % failed Math & English, 10 % failed English & Hindi, 15 % failed Math and Hindi, and 2 % failed all the three subjects, find percent of students who passed in all three subjects.

100 – 32 = 68 %

2400 players are from MP and UP. Each player plays one or more of cricket (C) , football (F) , hockey (H) . 45 % players are from MP and remaining from UP. From MP, boys and girls are in ratio 5: 4. Of the girls from MP, **20 % play only C**, **10 % play only F** & 10 % play only H. 20 % play C & F. 20 % play C & H. 10 % play F & H. Remaining play all three. Players from UP, boys & girls are in ratio 4: 7. Of the girls from UP, 25 % play only C, 10 % play only F & 8 % play only H. 15 % play C & F. 10 % play C & H. 15 % play F & H. How many girls from MP and UP play only either cricket or football?

## Next Class- Successive %

If salary is first increased by 20 % and then decreased by 20 % , find the percentage change in salary.

Prabha spends 50 % of monthly income on household items and the remaining is spent- 50 % on transport, 25 % on entertainment, and 10 % on sports. If ₹ 900 is saved every month, what was the monthly income?

-Mayank