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| source: ncert | |
| topic: arithmetic | |
| class_level: class_6 | |
| chapter: ch12 | |
| difficulty: beginner | |
| Class 6 | Ch12: Ratio and Proportion | |
| Ratio a:b = a/b. No units. Both quantities must be in SAME unit first. | |
| Equivalent: 2:3=4:6=6:9. | |
| Proportion a:b::c:d: product of extremes = product of means: a×d=b×c. | |
| Unitary method: find cost of 1, multiply for required number. | |
| Example: Divide 720 in 4:5. Total parts=9. Shares: 4/9×720=320 and 5/9×720=400. | |
| Proportion check 3:4 and 9:12: 3×12=36=4×9=36. YES. | |
| 6 pens cost 90 → 1 pen=15 → 10 pens=150. | |
| 50cm:2m must convert → 50:200=1:4. Ratio requires SAME units. |