What is 27% of 32% of 1250?
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What is 27% of 32% of 1250?
- A.
108
- B.
84
- C.
90
- D.
96
Attempted by 46 students.
Show answer & explanation
Correct answer: A
Concept: 'A% of B% of a number' means applying the two percentages one after another. Taking p% of a quantity multiplies it by p/100, so A% of B% of N equals (A/100) × (B/100) × N. Equivalently, the two percentages merge into a single percentage (A × B / 100)% that is then applied to N.
Application to 27% of 32% of 1250:
Merge the two percentages: (27 × 32)/100 = 864/100 = 8.64, so 27% of 32% equals 8.64%.
Apply 8.64% to 1250: (8.64/100) × 1250.
Multiply out: (8.64 × 1250)/100 = 10800/100 = 108.
Cross-check by reversing the order: 32% of 1250 = 0.32 × 1250 = 400, and 27% of 400 = 0.27 × 400 = 108. Both routes agree.
Therefore, 27% of 32% of 1250 = 108.