A student multiplied a number by
7
5
instead of
5
7
. What is the percentage error in the calculation?
- A48.98 percent
- B96 percent
- C24.49 percent
- D48 percent
Solution & Step-by-step Explanation
Let the number be x. For ease of calculation, let x be the LCM of the denominators (7 and 5), which is 35.
Correct Value=35×
5
7
=49
Incorrect Value=35×
7
5
=25
Error=Correct Value−Incorrect Value=49−25=24
Percentage Error=(
Correct Value
Error
)×100%
Percentage Error=(
49
24
)×100%≈48.979%≈48.98%
Correct Value=35×
5
7
=49
Incorrect Value=35×
7
5
=25
Error=Correct Value−Incorrect Value=49−25=24
Percentage Error=(
Correct Value
Error
)×100%
Percentage Error=(
49
24
)×100%≈48.979%≈48.98%