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Q.

If $A$ is $20 %$ more than $B$ , by what percent is $B$ less than $A$ ?

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a

26.36 %

b

16.67 %

c

9.09 %

d

27.27 %

answer is B.

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Detailed Solution

Concep- Writing out the real relationship between the values of A and B is how we begin to solve the problem. Now that the value of B is smaller than the value of A, we can calculate this rate. Once this relationship between B and A has been established, we translate the number into the percentage equivalent of A. By deducting the acquired percentage from 100, we obtain the desired value.

A = 20 %

more than

B

100 %

of

A = 20 %

of

B + 100 %

of

B

100 %

of

A = 120 %

of

B

100120 %

of

A = 1 %

of

B

100 × 100 120 %

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

Hence, the correct answer is option 2.

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