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How many are not

72% of 25 students are good at mathematics. How many are not good at it?

Show the answer and the worked solution

Correct answer: C.

7

Worked solution

  1. Not good at it = 100% − 72% = 28%.
  2. 28% of 25 = 7.

Answer: 7.

The idea

Take the complement first when it is the smaller figure — one multiplication instead of a multiplication and a subtraction.

Shortcut. 28% of 25 = 25% of 28 — swapping the percentage and the number turns it into a quarter of 28, which is 7.

Common trap. 6 — rounding 72% to 75%, so 'not good' becomes 25% of 25 ≈ 6; the exact complement is 28%.

How many are not — Percentages Aptitude Question

How many are not: 72% of 25 students are good at mathematics. How many are not good at it? Answer and worked solution on CodeKairo.

Question

72% of 25 students are good at mathematics. How many are not good at it?

Options

  1. 5
  2. 6
  3. 7
  4. 8
Show the answer and the worked solution

Correct answer: C. 7

Worked solution

  1. Not good at it = 100% − 72% = 28%.
  2. 28% of 25 = 7.

Answer: 7.

The idea

Take the complement first when it is the smaller figure — one multiplication instead of a multiplication and a subtraction.

Shortcut. 28% of 25 = 25% of 28 — swapping the percentage and the number turns it into a quarter of 28, which is 7.

Common trap. 6 — rounding 72% to 75%, so 'not good' becomes 25% of 25 ≈ 6; the exact complement is 28%.

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