Question

Two numbers are respectively 30 percent and 40 percent less than a third number. What percent is the second less of the first?

• A. $85$%
• B. $85\frac{5}{7}$%
• C. $85\frac{2}{7}$%
• D. $85\frac{3}{7}\%$

Answer 1

The correct option is B $85\frac{5}{7}$%

Let the number be $x$
First number $=\frac{70}{100}x$ and second number $=\frac{60}{100}x$
Second number is of $\frac{\frac{60}{100}x}{\frac{70}{100}x}\times 100=85\frac{5}{7}$ % of the first number.