Percentage

Concept Lecture - 1
Fraction %
1. How to calculate 𝒙% 𝒐𝒇 𝒚: 𝟕
1. 𝟑𝟎% 𝒐𝒇 𝟒𝟐𝟎 = 𝟏𝟔
2. 𝟒𝟎% 𝒐𝒇 𝟑𝟖𝟓 =
𝟗
3. 𝟐𝟐% 𝒐𝒇 𝟒𝟖𝟎 =
4. 𝟓𝟑% 𝒐𝒇 𝟕𝟐𝟎 = 𝟏𝟔
5. 𝟑𝟖% 𝒐𝒇 𝟒𝟓𝟎 = 𝟒
6. 𝟒𝟕% 𝒐𝒇 𝟐𝟒𝟎 = 𝟏𝟓
7. 𝟒𝟓% 𝒐𝒇 𝟏𝟏𝟖𝟎 = 𝟏
8. 𝟕𝟕% 𝒐𝒇 𝟖𝟒𝟎 =
𝟐𝟒
9. 𝟔𝟕% 𝒐𝒇 𝟕𝟖𝟎 =
10. 𝟗𝟎% 𝒐𝒇 𝟑𝟓𝟎 = 𝟓
𝟏𝟔
2. 𝟏𝟔. 𝟔𝟔% 𝒐𝒇 𝟐𝟏𝟔 𝟓
2. 𝟑𝟕. 𝟓% 𝒐𝒇 𝟔𝟒𝟎 𝟐𝟒
3. 𝟑𝟑. 𝟑𝟑% 𝒐𝒇 𝟏𝟓𝟎
4. 𝟖𝟑. 𝟑𝟑% 𝒐𝒇 𝟏𝟒𝟒 5. Calculate the following:
5. 𝟔𝟔. 𝟔𝟔% 𝒐𝒇 𝟐𝟕𝟎 1. 𝟏𝟔. 𝟔𝟔% 𝒎𝒐𝒓𝒆 𝒕𝒉𝒂𝒏 𝟐𝟏𝟔 =
6. 𝟐𝟖. 𝟓𝟔% 𝒐𝒇 𝟗𝟖𝟎 2. 𝟑𝟕. 𝟓% 𝒎𝒐𝒓𝒆 𝒕𝒉𝒂𝒏 𝟔𝟒𝟎 =
7. 𝟖𝟕. 𝟓% 𝒐𝒇 𝟏𝟐𝟖𝟎 3. 𝟑𝟑. 𝟑𝟑% 𝒎𝒐𝒓𝒆 𝒕𝒉𝒂𝒏 𝟏𝟓𝟎 =
8. 𝟔𝟐. 𝟓% 𝒐𝒇 𝟏𝟑𝟔𝟎 4. 𝟖𝟑. 𝟑𝟑% 𝒎𝒐𝒓𝒆 𝒕𝒉𝒂𝒏 𝟏𝟒𝟒 =
9. 𝟒𝟒. 𝟒𝟒% 𝒐𝒇 𝟏𝟑𝟓𝟎
5. 𝟔𝟔. 𝟔𝟔% 𝒎𝒐𝒓𝒆 𝒕𝒉𝒂𝒏 𝟐𝟕𝟎 =
10. 𝟑𝟔. 𝟑𝟔% 𝒐𝒇 𝟏𝟑𝟐𝟎
6. 𝟐𝟖. 𝟓𝟔% 𝒍𝒆𝒔𝒔 𝒕𝒉𝒂𝒏 𝟗𝟖𝟎 =
3. Find X is what Percent of Y: 7. 𝟖𝟕. 𝟓% 𝒍𝒆𝒔𝒔 𝒕𝒉𝒂𝒏 𝟏𝟐𝟖𝟎 =
X Y 8. 𝟔𝟐. 𝟓% 𝒍𝒆𝒔𝒔 𝒕𝒉𝒂𝒏 𝟏𝟑𝟔𝟎 =
240 640
9. 𝟒𝟒. 𝟒𝟒% 𝒍𝒆𝒔𝒔 𝒕𝒉𝒂𝒏 𝟏𝟑𝟓𝟎 =
10.𝟑𝟔. 𝟑𝟔% 𝒍𝒆𝒔𝒔 𝒕𝒉𝒂𝒏 𝟏𝟑𝟐𝟎 =
800 1120
1260 1620 Answer. 1
1. 126 2. 154 3. 105.6 4. 381.6 5. 171
420 700
6. 112.8 7. 531 8. 646.8 9. 522.6 10. 315
1380 1150
1680 1050 Answer. 2
1. 36 2. 240 3. 50 4. 120 5. 180
6. 280 7. 1120 8. 8550 9. 600 10. 480
4. Find the percentage equivalent of following
fractions:
 Answer. 3 Speed Building Test 2
37.5% 71.40% 77.77% 60% 120% 1. 70 is what percentage more than 60?
160% 2. 96 is what percentage more than 80?
3. 108 is what percentage more than 72?
Answer. 4 4. 36 is what percentage more than 32?
43.75% 56.25% 26.66% 4.16% 5. what percentage more than 120 is 165?
31.25% 20.83% 6. 91 is what percentage more than 84?
7. what percentage more than 125 is 130?
Answer. 5 8. what percentage more than 80 is 160?
1. 252 2. 880 3. 200 4. 264 9. what percentage more than 120 is 600?
5. 450 6. 700 7. 160 8. 510 10. 252 is what percentage more than 180?
9. 750 10. 840 11. 320 is what percentage less than 360?
12. 400 is what percentage less than 480?
Speed Building Test 1 13. 25 is k% less than 125, find k?
1. 50 is what percentage of 80? 14. If p% less than 240 is 210, find p?
2. 72 is what percentage of 90? 15. What percentage less than 800 is 600?
3. What percentage of 60 is 24? 16. What percentage less than 120 is 80?
4. 32 is what percentage of 96? 17. 60 is what percentage less than 300?
5. 64 is what percentage of 96? 18. 15 is what percentage less than 50?
6. What percentage of 125 is 90? 19. What percentage less than 160 is 120?
7. 120 is what percentage of 150? 20. It is found that 240 is x% less than 250, then
8. What percentage of 250 is 225? find x?
9. What percentage of 160 is 100?
10. 140 is what percentage of 630? Answer key
11. 16.66% of 180 1. 16.66 2. 20% 3. 12.5% 4. 12.5%
12. 25% of 320 %
13. 44.44% of 360 5. 37.5% 6. 8.33% 7. 4% 8. 100%
9. 400% 10. 40% 11. 11.11 12. 16.666
14. 37.5% of 120
%
15. 36.36% of 990
13. 80% 14. 12.5 15. 25% 16. 33.33%
16. 66.66% of 240 %
17. 14.28% of 210 17. 80% 18. 70% 19. 25% 20. 4%
18. 83.33% of 420
19. 35% of 220
20. 52% of 450 Speed Building Test 3
Answer key
1. Find A:B, if:
1. 62.5% 2. 80% 3. 40% 4. 33.3%
5. 66.6% 6. 72% 7. 80% 8. 90%
1.A is 40% of B
9. 62.5% 10. 22.2% 11. 29.9% 12. 80 2.B is 75% of A
13. 159.9 14. 45 15. 359.9 16. 159.9 3.20% of A = 30% of B
17. 29.9 18. 349.9 19. 77 20. 234 4.A is 80% of A + B
5.A is 200% of B
6.B is 33.33% of A
 7.A is 20% of B 4. 𝟑𝐲 = 𝟒𝐱
8.B is 500% of A 5. 𝐗 = 𝟒𝐲
9.600% of A = 300% of B 6. 𝐘 = 𝟐𝐱
10. A is 100% of B 𝟒
7. 𝐗 = 𝟑 𝐲
Answer key 𝟓
1. 2:5 2. 4:3 3. 3:2 4. 4:1 5. 2:1 8. 𝐗 = 𝟑 𝐲
6. 3:1 7. 1:5 8. 5:1 9. 1:2 10. 1:1 𝟏
9. 𝐘 = 𝟓 𝐱
10. 𝐗 = 𝟏𝟎𝟐 𝐲
2. Find X:Y, if
Answer key
1.X is 25% more than y 1. 75% 2. 150% 3. 65% 4. 75%
2.X is 16.66% more than y 5. 400% 6. 50% 7. 133.3% 8. 166.6%
3.X is 20% more than y 9. 500% 10. 10200%
4.X is 50% more than y
5.Y is 33.33% more than x 2. Find X is what percent more than Y:
𝟔
6.X is 300% more than y 1. 𝐗 = 𝟓 𝐲
7.X is 500% more than y
8.20% more than x is y 2. 𝟑𝐱 = 𝟒𝐲
9.66.66% more than y is x
3. 𝐗 = 𝟒𝐲
10. X is 37.5% more than y
Answer key 𝟓
4. 𝐗 = 𝟒 𝐲
1. 5:4 2. 7:6 3. 6:5 4. 3:2 5. 3:4
6. 4:1 7. 6:1 8. 5:6 9. 5:3 10. 11:8 𝟐
5. 𝐘 = 𝟑 𝐱
3. Find P:Q, if
6. 𝟕𝐲 = 𝟔 𝐱
1.P is 20% less than Q
2.Q is 12.5% less than P 7. 𝐘 = 𝟔 𝐱
𝟏
3.p is 66.66% less than Q
4.Q is 62.5% less than P 8. 𝐱 𝟐 = 𝟒𝐲 𝟐
5.P is 44.44% less than Q
6.16.66% less than Q is P 9. 𝐱 𝟑 = 𝟐𝟕𝐲 𝟑
7.37.5% less than P is 36.36% less than Q
10. 𝐱 = 𝟏. 𝟑𝟕𝐲
8.14.28% less than P is 60% less than Q
9.Q is 25% less than P Answer key
Answer key 1. 20% 2. 33.3% 3. 300% 4. 25%
1. 4:5 2. 8:7 3. 1:3 4. 8:3 5. 5:9 5. 50% 6. 16.6% 7. 500% 8. 100%
6. 5:6 7. 56:55 8. 7:15 9. 4:3 9. 200% 10. 37%

Speed Building Test 4

3. Find P is what percent less than Q:
1. X is what percent of Y:
𝟑 1. 𝐏 = 𝟎. 𝟖𝟐𝐪
1. 𝐗 = 𝟒 𝐲.
𝟐
2. 𝟐𝐱 = 𝟑𝐲 2. 𝐏 = 𝟑
𝐪
3. 𝐗 = 𝟎. 𝟔𝟓𝐲
 𝟒 2. Calculate the following:
3. 𝐏 = 𝟓 𝐪
1. 16.66% less than 720
𝟓 2. 25% less than 280
4. 𝐏 = 𝟖 𝐪
3. 40% less than 280
5. 𝐐 = 𝟑𝐩 4. 8% less than 320
5. 37.5% less than 480
6. 𝟑𝐪 = 𝟓𝐩 6. 36.36% less than 550
7. 𝐪 = 𝟒𝐩 7. 87.5% less than 120
8. 14.28% less than 420
8. 𝐪𝟐 = 𝟗𝐩𝟐 9. 6.66% less than 450
𝟔
10. 6.25% less than 160
9. 𝐪 = 𝐩
𝟓
Answer key
𝟏𝟏
10. 𝐪 = 𝐩 1. 600 2. 210 3. 168 4. 294
𝟖
5. 300 6. 350 7. 15 8. 360
Answer key 9. 420 10. 150
1. 18% 2. 33.3% 3. 20% 4. 37.5%
5. 66.6% 6. 40% 7. 75% 8. 66.6% 3. Calculate the following:
9. 16.6% 10. 27.27% 1. 40% less than 20% more than 150
2. 20% less than 40% more than 250
Speed Building Test 5 3. 16.66% less than 20% more than 120
1. Calculate the following: 4. 33.33% more than 50% less than 180
1. 20% more than 70 5. 20% more than 25% more than 240
6. 10% less than 10% less than 300
2. 33.33% more than 120
7. 40% less than 10% less than 300
3. 50% more than 80 8. 22.22% of 12.5% more than 100
9. 20% more than 30% more than 100
4. 25% more than 160 10. 20% more than 20% less than 200
5. 22.22% more than 180
Answer key
6. 35% more than 220 1. 108 2. 280 3. 120 4. 120
5. 360 6. 243 7. 162 8. 25
7. 83.33% more than 240 9. 156 10. 192

8. 14.28% more than 210 4. What is the percentage change from X to Y:

9. 62.5% more than 320 1. X = 120, y = 150
2. X = 200 y = 240
10. 16.66% more than 360 3. X = 160 y = 480
4. X = 250 y = 300
Answer key
1. 84 2. 160 3. 120 4. 200
5. X = 350 y = 400
5. 220 6. 297 7. 440 8. 240 6. X = 400 y = 550
9. 520 10. 420 7. X = 200 y = 160
8. X = 80 y = 120