Question

A student multiplied a number by 4/5 instead of 5/4. the percentage error is

Answer 1

Here is your answer... on seeing the picture you can get your answer which is 36% error in calculation

Answer 2

Answer:

Percentage error is 36% .

Step-by-step explanation:

Formula

$Percentage\ error = \frac{Change\ in\ value\times 100}{Exact\ value}$

Where

Change in value = | Approx value - Exact value |

As given

A student multiplied a number by $\frac{4}{5}$ instead of $\frac{5}{4}$.

Let us assume that the number be v .

$Exact\ value = \frac{5v}{4}$

Exact value = 1.25v

$Approx\ value = \frac{4v}{5}$

Approx value = 0.8v

Put all the values in the formula

Change in value = | 0.8v - 1.25v |

                            = |- 0.45|

                            = 0.45 v

Put all the values in the formula

$Percentage\ error = \frac{0.45v\times 100}{1.25v}$

$Percentage\ error = \frac{45v}{1.25v}$

Percentage error = 36%

Therefore the percentage error is 36% .