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A survey found that 0.28 of the families in a locality own a car. What percentage of the families do NOT own a car?

Class 7Comparing QuantitiesComparing Quantities
  • A28%
  • B72%
  • C99.72%
  • D0.72%

Step-by-Step Solution

First convert: 0.28 = 28%. Families without a car = 100% − 28% = 72%. The trap in 99.72% is subtracting the decimal from 100 before converting it (100 − 0.28) — the two numbers must be in the same form before you subtract. 0.72% is written straight down as a percentage, and 28% answers the wrong half of the question.
Answer: B) 72%

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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