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Page 1 Question:1 Convert each of the following fraction into a percentage: i 47 100 ii 9 20 iii 3 8 iv 8 125 v 19 500 vi 4 15 vii 2 3 viii 1 3 5 Solution: We have the following: i 47 100 = 47 100 ×100 % = 47 % ii 9 20 = 9 20 ×100 % = (9 ×5)% = 45 % iii 3 8 = 3 8 ×100 % = 3×25 2 % = 75 2 % = 37 1 2 % iv 8 125 = 8 125 ×100 % = 8×4 5 % = 32 5 % = 6. 4 % ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) Page 2 Question:1 Convert each of the following fraction into a percentage: i 47 100 ii 9 20 iii 3 8 iv 8 125 v 19 500 vi 4 15 vii 2 3 viii 1 3 5 Solution: We have the following: i 47 100 = 47 100 ×100 % = 47 % ii 9 20 = 9 20 ×100 % = (9 ×5)% = 45 % iii 3 8 = 3 8 ×100 % = 3×25 2 % = 75 2 % = 37 1 2 % iv 8 125 = 8 125 ×100 % = 8×4 5 % = 32 5 % = 6. 4 % ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) v 19 500 = 19 500 ×100 % = 19 5 % = 3. 8 % vi 4 15 = 4 15 ×100 % = 4×20 3 % = 80 3 % = 26 2 3 % vii 2 3 = 2 3 ×100 % = 200 3 % = 66 2 3 % viii 1 3 5 = 8 5 = 8 5 ×100 % = 8 ×20 % = 160 % Question:2 Convert each of the following into a fraction: i 32% ii 6 1 4 % iii 26 2 3 % iv 120% v 6.25% vi 0.8% vii 0.06% viii 22.75% Solution: We have the following: i 32 % = 32 100 = 8 25 ii 6 1 4 % = 25 4 % = 25 4 × 1 100 = 1 16 ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) Page 3 Question:1 Convert each of the following fraction into a percentage: i 47 100 ii 9 20 iii 3 8 iv 8 125 v 19 500 vi 4 15 vii 2 3 viii 1 3 5 Solution: We have the following: i 47 100 = 47 100 ×100 % = 47 % ii 9 20 = 9 20 ×100 % = (9 ×5)% = 45 % iii 3 8 = 3 8 ×100 % = 3×25 2 % = 75 2 % = 37 1 2 % iv 8 125 = 8 125 ×100 % = 8×4 5 % = 32 5 % = 6. 4 % ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) v 19 500 = 19 500 ×100 % = 19 5 % = 3. 8 % vi 4 15 = 4 15 ×100 % = 4×20 3 % = 80 3 % = 26 2 3 % vii 2 3 = 2 3 ×100 % = 200 3 % = 66 2 3 % viii 1 3 5 = 8 5 = 8 5 ×100 % = 8 ×20 % = 160 % Question:2 Convert each of the following into a fraction: i 32% ii 6 1 4 % iii 26 2 3 % iv 120% v 6.25% vi 0.8% vii 0.06% viii 22.75% Solution: We have the following: i 32 % = 32 100 = 8 25 ii 6 1 4 % = 25 4 % = 25 4 × 1 100 = 1 16 ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) iii 26 2 3 % = 80 3 % = 80 3 × 1 100 = 4×1 3×5 = 4 15 iv 120 % = 120 100 = 6 5 = 1 1 5 v 6. 25 % = 6.25 100 = 625 100×100 = 25 400 = 1 16 vi 0. 8 % = 0.8 100 = 8 10×100 = 8 1000 = 1 125 vii 0. 06 % = 0.06 100 = 6 100×100 = 6 10000 = 3 5000 viii 22. 75 % = 22.75 100 = 2275 100×100 = 91 400 Question:3 Express each of the following as a ratio: i 43% ii 36% iii 7.5% iv 125% Solution: We have: i 43 % = 43 100 = 43 : 100 ii 36 % = 36 100 = 9 25 = 9 : 25 ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) Page 4 Question:1 Convert each of the following fraction into a percentage: i 47 100 ii 9 20 iii 3 8 iv 8 125 v 19 500 vi 4 15 vii 2 3 viii 1 3 5 Solution: We have the following: i 47 100 = 47 100 ×100 % = 47 % ii 9 20 = 9 20 ×100 % = (9 ×5)% = 45 % iii 3 8 = 3 8 ×100 % = 3×25 2 % = 75 2 % = 37 1 2 % iv 8 125 = 8 125 ×100 % = 8×4 5 % = 32 5 % = 6. 4 % ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) v 19 500 = 19 500 ×100 % = 19 5 % = 3. 8 % vi 4 15 = 4 15 ×100 % = 4×20 3 % = 80 3 % = 26 2 3 % vii 2 3 = 2 3 ×100 % = 200 3 % = 66 2 3 % viii 1 3 5 = 8 5 = 8 5 ×100 % = 8 ×20 % = 160 % Question:2 Convert each of the following into a fraction: i 32% ii 6 1 4 % iii 26 2 3 % iv 120% v 6.25% vi 0.8% vii 0.06% viii 22.75% Solution: We have the following: i 32 % = 32 100 = 8 25 ii 6 1 4 % = 25 4 % = 25 4 × 1 100 = 1 16 ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) iii 26 2 3 % = 80 3 % = 80 3 × 1 100 = 4×1 3×5 = 4 15 iv 120 % = 120 100 = 6 5 = 1 1 5 v 6. 25 % = 6.25 100 = 625 100×100 = 25 400 = 1 16 vi 0. 8 % = 0.8 100 = 8 10×100 = 8 1000 = 1 125 vii 0. 06 % = 0.06 100 = 6 100×100 = 6 10000 = 3 5000 viii 22. 75 % = 22.75 100 = 2275 100×100 = 91 400 Question:3 Express each of the following as a ratio: i 43% ii 36% iii 7.5% iv 125% Solution: We have: i 43 % = 43 100 = 43 : 100 ii 36 % = 36 100 = 9 25 = 9 : 25 ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) iii 7. 5 % = 7.5 100 = 75 10×100 = 3 40 = 3 : 40 iv 125 % = 125 100 = 5 4 = 5 : 4 Question:4 Convert each of the following ratios into a percentage: i 37 : 100 ii 16 : 25 iii 3 : 5 iv 5 : 4 Solution: We have the following: i 37 : 100 = 37 100 = 37 100 ×100 % = 37 % ii 16 : 25 = 16 25 = 16 25 ×100 % = (16 ×4)% = 64 % iii 3 : 5 = 3 5 = 3 5 ×100 % = (3 ×20)% = 60 % iv 5 : 4 = 5 4 = 5 4 ×100 % = (5 ×25)% = 125 % Question:5 Convert each of the following into decimal form: i 45% ii 127% iii 3.6% iv 0.23% Solution: We have the following: ( ) ( ) ( ) ( ) ( ) ( ) Page 5 Question:1 Convert each of the following fraction into a percentage: i 47 100 ii 9 20 iii 3 8 iv 8 125 v 19 500 vi 4 15 vii 2 3 viii 1 3 5 Solution: We have the following: i 47 100 = 47 100 ×100 % = 47 % ii 9 20 = 9 20 ×100 % = (9 ×5)% = 45 % iii 3 8 = 3 8 ×100 % = 3×25 2 % = 75 2 % = 37 1 2 % iv 8 125 = 8 125 ×100 % = 8×4 5 % = 32 5 % = 6. 4 % ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) v 19 500 = 19 500 ×100 % = 19 5 % = 3. 8 % vi 4 15 = 4 15 ×100 % = 4×20 3 % = 80 3 % = 26 2 3 % vii 2 3 = 2 3 ×100 % = 200 3 % = 66 2 3 % viii 1 3 5 = 8 5 = 8 5 ×100 % = 8 ×20 % = 160 % Question:2 Convert each of the following into a fraction: i 32% ii 6 1 4 % iii 26 2 3 % iv 120% v 6.25% vi 0.8% vii 0.06% viii 22.75% Solution: We have the following: i 32 % = 32 100 = 8 25 ii 6 1 4 % = 25 4 % = 25 4 × 1 100 = 1 16 ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) iii 26 2 3 % = 80 3 % = 80 3 × 1 100 = 4×1 3×5 = 4 15 iv 120 % = 120 100 = 6 5 = 1 1 5 v 6. 25 % = 6.25 100 = 625 100×100 = 25 400 = 1 16 vi 0. 8 % = 0.8 100 = 8 10×100 = 8 1000 = 1 125 vii 0. 06 % = 0.06 100 = 6 100×100 = 6 10000 = 3 5000 viii 22. 75 % = 22.75 100 = 2275 100×100 = 91 400 Question:3 Express each of the following as a ratio: i 43% ii 36% iii 7.5% iv 125% Solution: We have: i 43 % = 43 100 = 43 : 100 ii 36 % = 36 100 = 9 25 = 9 : 25 ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) iii 7. 5 % = 7.5 100 = 75 10×100 = 3 40 = 3 : 40 iv 125 % = 125 100 = 5 4 = 5 : 4 Question:4 Convert each of the following ratios into a percentage: i 37 : 100 ii 16 : 25 iii 3 : 5 iv 5 : 4 Solution: We have the following: i 37 : 100 = 37 100 = 37 100 ×100 % = 37 % ii 16 : 25 = 16 25 = 16 25 ×100 % = (16 ×4)% = 64 % iii 3 : 5 = 3 5 = 3 5 ×100 % = (3 ×20)% = 60 % iv 5 : 4 = 5 4 = 5 4 ×100 % = (5 ×25)% = 125 % Question:5 Convert each of the following into decimal form: i 45% ii 127% iii 3.6% iv 0.23% Solution: We have the following: ( ) ( ) ( ) ( ) ( ) ( ) i 45% = 45 100 = 0. 45 ii 127% = 127 100 = 1. 27 iii 3.6% = 3.6 100 = 36 10×100 = 36 1000 = 0. 036 iv 0.23% = 0.23 100 = 23 100×100 = 23 10000 = 0. 0023 Question:6 Convert each of the following decimals into a percentage: i 0.6 ii 0.42 iii 0.07 iv 0.005 Solution: We have: i 0.6 = (0.6 × 100)% = 60% ii 0.42 = (0.42 × 100)% = 42% iii 0.07 = (0.07 × 100)% = 7% iv 0.005 = (0.005 × 100)% = 0.5% Question:7 Find: i 32% of 425 ii 16 2 3 % of 16 ( ) ( ) ( ) ( ) ( ) ( )Read More
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1. What are the basic concepts of percentages in Class 7? |
2. How can I convert a fraction into a percentage in Class 7? |
3. How do I calculate the percentage of a given quantity in Class 7? |
4. How can I find the original quantity if I know the percentage increase or decrease in Class 7? |
5. How can I calculate the percentage change between two quantities in Class 7? |
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