A student multiplied a number by displaystylefrac-3-5- instead of displaystylefrac-5-3- What is the percentage error in the calculation-72-60-78-64-

Question

Toppr Admin · Accepted Answer

Let the number be x-Then- percentage error -x239B-x239C-x239C-x239D-53x-x2212-35x53x-x239E-x239F-x239F-x23A0-xD7-100-25x-x2212-9x155x3-xD7-100- -16x15-xD7-35x-xD7-100-64-

A student multiplied a number by $\frac{3}{5}$ instead of $\frac{5}{3}$ . What is the percentage error in the calculation?
$72$ %
$60$ %
$78$ %
$64$ %

Let the number be $x$ .
Then, percentage error $= ⎛ ⎜ ⎜ ⎝ \begin{matrix} \frac{\frac{5}{3} x - \frac{3}{5} x}{\frac{5}{3} x} \end{matrix} ⎞ ⎟ ⎟ ⎠ \times 100 % = \frac{\frac{25 x - 9 x}{15}}{\frac{5 x}{3}} \times 100 %$
$= \frac{16 x}{15} \times \frac{3}{5 x} \times 100 % = 64 %$ .

A student multiplied a number by 35 instead of 53. What is the percentage error in the calculation?72%60%78%64%

Let the number be x.Then, percentage error =⎛⎜ ⎜⎝53x−35x53x⎞⎟ ⎟⎠×100%=25x−9x155x3×100% =16x15×35x×100%=64%.

A student multiplied a number by $\frac{3}{5}$ instead of $\frac{5}{3}$ . What is the percentage error in the calculation?
$72$ %
$60$ %
$78$ %
$64$ %

Let the number be $x$ .
Then, percentage error $= ⎛ ⎜ ⎜ ⎝ \begin{matrix} \frac{\frac{5}{3} x - \frac{3}{5} x}{\frac{5}{3} x} \end{matrix} ⎞ ⎟ ⎟ ⎠ \times 100 % = \frac{\frac{25 x - 9 x}{15}}{\frac{5 x}{3}} \times 100 %$
$= \frac{16 x}{15} \times \frac{3}{5 x} \times 100 % = 64 %$ .