Question

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

• A. $26.36\%$
• B. $16.67\%$
• C. $9.09\%$
• D. $27.27\%$

Answer 1

The correct option is B $16.67\%$

$A=20$% more than $B$

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

$100$% of $A=120$% of $B$

$\left(\frac{100}{120}\right)$% of $A=1$% of $B$

$\left(\frac{100\times 100}{120}\right)$% of $A=100$% of $B$

$83.33$% of $A=100$% of $B$

So, $B=(100-83.33)$% less than $A$

$=16.67$% less than $A$.