A student multiplying a number by \frac{3}{5} instead of\frac{5}{3}, what is percentage error in 5 3the calculation?
A student multiplying a number by 35 instead of 53, what is percentage error in the calculation?
A0.44
B0.34
C0.54
D0.64
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Correct answer is: 0.64
Explanation:
Let the number be x.
Then, ideally he should have multiplied by x by 53. Hence Correct result was x×53=5x3.
By mistake he multiplied x by 35 . Hence the result with error = 3x5
Then, error = (5x3−3x5)=16x15
Error=(errorTrue vaue)
= 1615×x53×x
= 0.64
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