Question

Which calculation could not be used to find the percentage change

between 16 and 20?

look at the image attached and explain why​

Answer 1

Option (B).

Explanation:

Percentage change between two numbers a and b can be calculated by the formula,

% change =
`(|b-a|)/(a)* 100`

Where, (b - a) = Change in values

a = Initial value

If a = 16 and b = 20

Percentage change between 16 and 20 will be,

=
`((20-16)/(16))* 100`

=
`(4)/(16)* 100`

= 25%

If a = 20 and b = 16,

Percentage change =
`(|16-20|)/(20)* 100`

= 20%

Therefore, %change between 16 and 24 may be 16% or 20%.

Option (A),

`(20-16)/(16)* 100` = 25%

Option (B),

`(20)/(16)-1* 100` = 1.25 - 1 × 100

= 1.25 - 100

= -98.75%

Option (C),

`100* (1)/(4)` = 25%

Option (D),

`((20-16))/(20)* 100` = 20%

Therefore, we can not use the calculation used in Option (B).