Question

19. A student was asked to multiply a number by
5/3.He multiplied it by 3/5 instead. Find the percentage error in the calculation ​

Answer 1

Step-by-step explanation:

Let the number be x

thus, 5/3 * x = 5x/3

but 3/5 * x = 3x/5

thus, difference between 5x/3 and 3x/5 =

$\frac{25x \: - \: 9x \: }{15} = \frac{16x}{15}$

thus percentage error =

$\frac{16x}{15} \div \frac{5x}{3} \times 100 = 64 \: percent$