Question

Two numbers are 20% and 25% greater than the third number respectively. How much percent is the second number greater than the first number.

• A. 2.5%
• B. 4%
• C. 10%
• D. 7%

Answer 1

The correct option is B 4%

Assume, third number is $x$.

Now, as given first number will be 20% greater than $x$.
$\therefore \text{First number}=x+\left(20\%\text{of}x\right)⟹x+(x\times \frac{20}{100})=\frac{6x}{5}$

Similarly for the second number, second number is 25% greater than $x$.
$\therefore \text{Second number}=x+\left(25\%\text{of}x\right)⟹x+(x\times \frac{25}{100})=\frac{5x}{4}$

Now, we've to find how much percent is the second number greater than the first number.
$\therefore \frac{\frac{5x}{4}-\frac{6x}{5}}{\frac{5x}{4}}\times 100\%⟹\frac{\frac{x}{20}}{\frac{5x}{4}}\times 100\%⟹4\%$

Hence, option 'b' is correct.