Question

A positive number is divided by 6 by mistake, instead of being
multiplied by 6. What is the percentage error (approximately)?
3.86
97.22
83.27
75.35​

Answer 1

Answer:

97.22

Solution:

Let the number be x

When the number i.e., x is multiplied by 6 then we get,

x × 6 = 6x

We know that Instead of being multiplied by 6 it is divided by 6, so by dividing x by 6 we get,

$\sf\dfrac{x}{6}$

Now let's find out the percentage error:

$\sf = \dfrac{6x - \frac{x}{6} }{6x} \times 100\%$

$\sf = \dfrac{ \frac{36x - x}{6} }{6} \times 100\%$

$\sf = \dfrac{36x - x}{36x} \times 100\%$

$\sf = \dfrac{35}{36} \times 100\%$

$\sf = 97.22\%$

Approximately 97%

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