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A student multiplied a number by 6/5 instead of 5/6. What is the percentage error in the calculation?

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A student multiplied a number by 6/5 instead of 5/6. What is the percentage error in the calculation?
  • A44 percent
  • B30.56 percent
  • C15.28 percent
  • D22 percent
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CCommunity
Let the number be x

⇒ Actual number = x × (5/6) = 5x/6

⇒ Wrongly calaculated number = x × (6/5) = 6x/5

⇒ Error = 6x/5 – 5x/6 = 11x/30

⇒ Percentage error = (11x/30)/(5x/6) × 100 = 44%