Question

If p is 6 times that of q, what percent is q less than p?

• A. $12\frac{1}{2}\%$
• B. $83\frac{1}{3}\%$
• C. $6\frac{1}{4}\%$
• D. $33\frac{1}{3}\%$

Answer 1

Answer: (B)

$83\frac{1}{3}\%$

$p=6q$
$p-q=6q-q=5q$
$\therefore$ q is less than p by $\frac{p-q}{p}\times 100\%$
$=\frac{5q}{6q}\times 100\%$ $=83\frac{1}{3}\%$