Mathematics: Which calculation could not be used to find the percentage change between 16 and 20?look at the image attached and explain why

0.44 - .50 (5/10) options: .45, .46, .47, .48, .49...

Which calculation could not be used to find the

yaneli0717

29.01.2022

Option (B).

Step-by-step explanation:

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

% change = $\frac{|b-a|}{a}\times 100$

Where, (b - a) = Change in values

a = Initial value

If a = 16 and b = 20

Percentage change between 16 and 20 will be,

= $(\frac{20-16}{16})\times 100$

= $\frac{4}{16}\times 100$

= 25%

If a = 20 and b = 16,

Percentage change = $\frac{|16-20|}{20}\times 100$

= 20%

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

Option (A),

$\frac{20-16}{16}\times 100$ = 25%

Option (B),

$\frac{20}{16}-1\times 100$ = 1.25 - 1 × 100

= 1.25 - 100

= -98.75%

Option (C),

$100\times \frac{1}{4}$ = 25%

Option (D),

$\frac{(20-16)}{20}\times 100$ = 20%

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

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