Percentage - Basic to Advanced - Class 1 - PDF
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Summary
This document provides explanations and examples of percentage calculations, ranging from basic to more advanced concepts. It includes conversions between fractions and percentages, along with diagrams and worked-out problems. The document is suitable for secondary school students.
Full Transcript
# % PERCENTAGE प्रतिशत % - 70 / 100 -> 70% - 3 / 4 X 25 / 100 = 75% 65 / 100 -> 65% - 30 / 50 X 100 = 60% **Diagram:** * Circle with "F" inside and "x 100" arrow leading to another circle with "%" inside. * Arrow leading from "%" circle back to "F" circle with "÷100" written on it. * "75% = 75 /...
# % PERCENTAGE प्रतिशत % - 70 / 100 -> 70% - 3 / 4 X 25 / 100 = 75% 65 / 100 -> 65% - 30 / 50 X 100 = 60% **Diagram:** * Circle with "F" inside and "x 100" arrow leading to another circle with "%" inside. * Arrow leading from "%" circle back to "F" circle with "÷100" written on it. * "75% = 75 / 100 = 3 / 4" is written at the bottom of the diagram. # - 5 / 8 = 500 / 800 - 1 = 100% - 1 / 2 = 50% - 1 / 3 = 33 1/3 % - 1 / 4 = 25% ## Fraction | Percentage | % in Decimal | Fraction | Percentage | % in Decimal ------- | -------- | -------- | -------- | -------- | -------- 1/1 | 100% | 100% | 1/11 | 9 1/11 % | 9.09% 1/2 | 50% | 50% | 1/12 | 8 1/3 % | 8.33% 1/3 | 33 1/3 % | 33.33% | 1/13 | 7 9/13 % | 7.69% 1/4 | 25% | 25% | 1/14 | 7 1/7 % | 7.14% 1/5 | 20% | 20% | 1/15 | 6 2/3 % | 6.66% 1/6 | 16 2/3 % | 16.66% | 1/16 | 6 1/4 % | 6.25% 1/7 | 14 2/7 % | 14.28% | 1/17 | 5 15/17 % | 5.88% 1/8 | 12 1/2 % | 12.5% | 1/18 | 5 5/9 % | 5.55% 1/9 | 11 1/9 % | 11.11% | 1/19 | 5 1/19 % | 5.26% 1/10 | 10% | 10% | 1/20 | 5% | 5% ## Fraction | Percentage | % in Decimal ------- | -------- | -------- 1/24 | 4 1/6 % | 4.16% 1/25 | 4% | 4% # **Diagram:** * Circle enclosing 3 / 4 with "87.5%" written next to it. * Arrow leads from 3 / 4 to K3 (3 / 4) = 75%. * Arrow leads from K3 (3 / 4) = 75% to 1 / 4 = 25% * Circle enclosing 1 / 5 with "20%" written next to it. * Arrow leads from 1 / 5 to 1 / 4 = 80%. * Arrow leads from 1 / 4 = 80% to 4 / 5 = 40% * Arrow leads from 4 / 5 = 40% to 1 / 5 = 20%. * Circle enclosing 3 / 8 with "37.5%" written next to it. * Arrow leads from 3 / 8 to 3 (12.5 / 100) = 37.5% * Circle enclosing 5 / 8 with "62.5%" written next to it. * Arrow leads from 5 / 8 to 60 + 2.5 = 62.5% * Arrow leads from (16 2/3) / 100 to 83 1/3 % * Arrow leads from 60 + 8 1/3 to (16 2/3) / 100 with arrow starting at 80 + 8 1/3 # - 25% = 1 / 4 - 2.5% = 1 / 40 - 17.5% = 1 / 7 - 32.5% = 30 + 2.5/ 10 - 82.5% = 80% + 2.5% - 83 1/3 % = 80% + 3 1/3 % - 100% - 16 2/3 % = 83 1/3 % - 1 - 1 / 6 = 5 / 6 - 25% = 5 / 6 - 29 1/6 % = 25% + 4 1/6 % - 237.5 % = 200% + 37.5% # - Q: 32.5% of 160 - 160 का 32.5% - 12.5% = 1 1/4 50 = 160 X (1 / 4) X 13 = 52 - 37.5% = 3 / 8 - Q: 37.5 % of 64 - 3 / 8 X 64 = 24 - Q: 62.5% of 48 - 5 / 8 X 48 = 30 - 2.5 = 1 / 40 - XY - Q: 17.5% of 16 - (7 / 40) X 16 = 28 # - Shifting of % - a% of b = b% of a - Q: 38 of 50% = 19 - Q: 57 of 33 1/3 % - 57 X (1 / 3) = 19 - Q: 840 of 62.5% - 840 X (5 / 8) = 525 - Q: 512 of 375 % - 512 X (3 / 8) = 640 - 37.5% = 3/ 8
