Venn Diagrams and Venn Diagram with % S YouTube Lecture Handouts (Percent Venn Diagrams)
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Venn Diagrams- Unraveling Terminology & Percentage Problems in Venn Diagrams
- 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