Question

if a= 20 ,b =25 by what percent a is less than b​

Answer 1

Step-by-step explanation:

A=20% more than B

100% of A=20% of B+100% of B

100% of A=120% of B

(

120

100

)% of A=1% of B

(

120

100×100

)% of A=100% of B

83.33% of A=100% of B

So, B=(100−83.33)% less than A

=16.67% less than A.

Answer 2

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if a= 20 ,b =25 by what percent a is less than b.

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First, we must answer the question:

Twenty (20) is what percent of 25? Translated into an equation, we have:

20 = (p)(25), where p is the percent that 20 is of 25.

25p = 20

Now, dividing both sides by 25, we get:

(25p)/25 = 20/25

(25p)/25 = 20/25(25/25)p = 20/25

(25p)/25 = 20/25(25/25)p = 20/25(1)p = 20/25

(25p)/25 = 20/25(25/25)p = 20/25(1)p = 20/25p = 20/25

(25p)/25 = 20/25(25/25)p = 20/25(1)p = 20/25p = 20/25p = 4/5

(25p)/25 = 20/25(25/25)p = 20/25(1)p = 20/25p = 20/25p = 4/5p = .80

(25p)/25 = 20/25(25/25)p = 20/25(1)p = 20/25p = 20/25p = 4/5p = .80p = 80/100

p= 80% is what percent a = 20 is of b = 25.

Now, let b = 25 represent 100% or the whole or entire amount; then, to find the percent difference between a = 20 and b = 25, or, in other words, by what percent "a" is less than "b", we can write the following subtraction:

100% - 80% = 20%

So, 20% is the percent that a is less than b.