Question

Two numbers are respectively $20$% and $30$% less than third number. What is the second number as a percentage of the first.

• A. $87.5$%
• B. $88$%
• C. $77.5$%
• D. $87$%

Answer 1

Answer: (A)

$87.5$%

let $x$ and $y$ be first and second numbers respectively. Let $k$ be the third number.

$x=k-\frac{20}{100}k=\frac{80k}{100}$

$y=k-\frac{30}{100}k=\frac{70k}{100}$

Second number as percentage of first $⟹\frac{y}{x}\times 100=\frac{7}{8}\times 100=87.5\%$