A student multiplied a number by 2/3 instead of 3/2 what is the percentage error in the calculation?
Correct Answer: Option B
Let the number to be multiplied = x
Then, the result after multiplying it by 2/3 = 2/3 x
But, actual number should be (3/2) x
Therefore error in the calculation \(= {3 \over 2}x - {2 \over 3}x = {5 \over 6}x\)
Then required percentage error \(= {{{5 \over 6}x} \over {{3 \over 2}x}} \times 100 = 55.5\%\)
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