Question

Two numbers are 25% and 30% greater than a third number respectively. What percent of the first number is the second number?

• A. 96%
• B. 110%
• C. 104%
• D. 98%

Answer 1

The correct option is C

104%

Let the third number be 100

First number is 25% greater than third.

$\therefore$ First number = $100+\frac{25}{100}\times 100$ = 125

Second number is 30% greater than third.

$\therefore$ Second number = $100+\frac{30}{100}\times 100$ = 130

To find - Second number is what percent of first number?

$\Rightarrow$ = $\frac{130}{125}\times 100$ = 104%

$\therefore$ The second number is 104% of the first number.