| --- |
| source: ncert |
| topic: arithmetic |
| class_level: class_7 |
| chapter: ch8 |
| difficulty: beginner |
| --- |
| |
| Class 7 | Ch8: Comparing Quantities |
| Percentage=per hundred. x%=x/100. |
| Fraction to %: multiply by 100. % to fraction: divide by 100. |
| Profit=SP-CP (when SP>CP). Loss=CP-SP (when CP>SP). |
| Profit%=(Profit/CP)×100. Loss%=(Loss/CP)×100. |
| SP=CP×(100+Profit%)/100. SP=CP×(100-Loss%)/100. |
| Simple Interest: SI=(P×R×T)/100. Amount A=P+SI. |
| Example: CP=850, Profit=12%: SP=850×112/100=952. |
| CP=600, Loss=8%: SP=600×92/100=552. |
| 45 as % of 180: (45/180)×100=25%. |
| SI on 5000 at 6% for 3 years: SI=(5000×6×3)/100=900. A=5900. |
| Profit% always on CP NOT SP. Time in YEARS for SI. Discount on MARKED PRICE. |
