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Three brands split a town's toothpaste sales: X has 38%, Y has 34% and Z has 28%. Next year X's share rises by 5 percentage points while Y's share falls by 25%. What will Z's share be?

Competition practicePercentage
  • A34.6%
  • B31.5%
  • C48%
  • D28%

Step-by-Step Solution

X becomes 38 + 5 = 43. Y falls by a quarter of itself: . The three shares must still total 100, so %. 34.6% reads X's '5 percentage points' as 5% of 38, giving 39.9 and leaving with 34.6. 48% reads Y's 25% fall as 25 percentage points, dropping Y to 9. 28% assumes is untouched, but a share can move without the brand doing anything - the other two have squeezed the total.
Answer: B) 31.5%

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