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In a housing society the ratio of flats that have a car to flats that do not is 3 : 17. What percentage of the flats have a car?

Class 7Comparing QuantitiesComparing Quantities
  • A15%
  • B3%
  • C17.6%
  • D85%

Step-by-Step Solution

A ratio of 3 : 17 compares one part with the OTHER part, so the total is 3 + 17 = 20 parts. Flats with a car = . 17.6% is — comparing the part with the other part rather than with the whole, which is the single most common slip in this type. 85% is the flats WITHOUT a car, and 3% reads the ratio term as a percentage.
Answer: A) 15%

Key idea: Reading the question carefully

Three things to check before you compute:

1. **What's being asked?** Profit % needs CP and SP. SI needs P, R, T.
2. **What units are the inputs in?** Time in months → convert to years (divide by 12). Rate already per annum → leave it.
3. **What's the base of the percentage?** Profit/loss % is on COST price, not selling price. Discount % is on MARKED price, not on what you actually paid.

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