Question

Ron is asked to do a mathematics calculation in class. He multiplies a number with 3/5 instead of 5/3.
What is the percentage error in the calculation?​

Answer 1

Answer:

64%

Step-by-step explanation:

Let the number be x.

Then, ideally he should have multiplied by x by 5/3. Hence Correct result was x * (5/3)= 5x/3.

By mistake he multiplied x by 3/5 . Hence the result with error = 3x/5

Then, error = (5x/3 - 3x/5) = 16x/15

Error % = (error/True vaue) * 100 = [(16/15) * x/(5/3) * x] * 100 = 64 %