Question

A student was performing an arithmetic operation and he multiplied a number by 3/2 instead of dividing it by 2/3 .what was its error percentage?

Answer 1

$let \: number \: is \: 6 \\ actual \: value \: = 6 \div 2 \div 3 \\ = 6 \times 3 \div 2 = 9 \\ error \: value \: = 6 \times 3 \div 2 = 9 \\ so \: \% \: of \: error \: = 9 - 9 = 0\%.$

Answer 2

Answer:

Error percentage was 0%.

Step-by-step explanation:

• Let the number be X.
• Value that the student got after multiplication is X×3/2 = 3X/2
• Actual value the student supposed to get is X÷(2/3) = X×(3/2)= 3X/2
• Hence, we can see that the value the student got and the value the student supposed to get are same .
• So there is no error. Hence the error percentage is 0%.