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A student multiplied a number by 11/13 instead of 13/11. What is the percentage error in the calculation?

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49
A student multiplied a number by 11/13 instead of 13/11. What is the percentage error in the calculation?
  • A39.67 percent
  • B28.4 percent
  • C14.2 percent
  • D19.83 percent
Answer not set
0
CCommunity
Let the number be x

Wrong number = 11x/13

Actual number = 13x/11

Error = 13x/11 – 11x/13 = 48x/143

Percentage error = (48x/143)/(13x/11) × 100 = 28.4%
0
CCommunity
Let the number be x

Wrong number = 11x/13

Actual number = 13x/11

Error = 13x/11 – 11x/13 = 48x/143

Percentage error = (48x/143)/(13x/11) × 100 = 28.4%