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A school has 1650 students, and the number of boys is 20% more than the number of girls. The number of girls is:

Competition practiceRatio, Percentage & Commercial Math
  • A660
  • B750
  • C825
  • D900

Step-by-Step Solution

Let there be g girls; then the boys number 1.2g and g + 1.2g = 2.2g = 1650 → g = 750 (and 900 boys). Check: 900 is indeed 20% more than 750. (Taking 20% off the half-and-half figure of 825, or splitting 1650 in the ratio 60 : 40, both use the 20% on the wrong quantity — it is measured on the girls, not on the total.)
Answer: B) 750

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