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On Monday 8% of a school's students were absent and 276 students were present. How many students are on the school roll?

Class 7Comparing QuantitiesComparing Quantities
  • A3450
  • B298
  • C300
  • D254

Step-by-Step Solution

The 276 is the PRESENT students, and present = 100% − 8% = 92% of the roll. So , giving . Check: 8% of 300 = 24 absent, leaving 276 present. The big trap is 3450, which divides by the 8% that were absent — match the percentage to the number it actually describes. 298 comes from adding 8% of 276 back on, and 254 from taking 92% of 276.
Answer: C) 300

Key idea: Three forms of the same number

Fractions, decimals, and percentages are three notations for the same idea. Convert freely:

- **Fraction → percentage**: multiply by 100. .
- **Percentage → fraction**: divide by 100 and simplify. .
- **Decimal → percentage**: shift two places right. 0.34 = 34%.
- **Percentage → decimal**: shift two places left. 8% = 0.08.

With practice, this becomes automatic and you can move between forms without thinking.

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