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In a crate of mangoes, 45% are ripe. If 99 mangoes are ripe, how many mangoes are in the crate altogether?

Class 7Comparing QuantitiesComparing Quantities
  • A144
  • B220
  • C180
  • D44.55

Step-by-Step Solution

Here the PART is given and the WHOLE is unknown. 45% of , so and . Check: 45% of 220 = 99. 44.55 is 45% OF 99 — taking the percentage of the part instead of solving for the whole. 180 uses the 55% that are unripe, and 144 simply adds 45 to 99.
Answer: B) 220

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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