A student was solving a question of Mathematics. While he was doing calculations, he multiplied a number by 3/2 instead of 2/3. The percentage error in the calculation is?
- 55.55%
- 55.45%
- 55.35%
- None of these
Explanation
Let number = x
Correct = x _ 2/3
Wrong = x _ 3/2
Error = Wrong - Correct = x _ 3/2 - x _ 2/3 = x _ 5/6
Percentage Error = Error / Wrong _ 100
Percentage Error = (x _ 5/6) / (x _ 3/2) _ 100
Percentage Error = 5/6 _ 2/3 _ 100
Percentage Error = 10/18 _ 100
Percentage Error = 5/9 _ 100
Percentage Error = 55.55 percent
Last verified on 20-10-2026
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