Question

Two numbers are less than third number by 30% and 37% respectively. How much percent is the second number less than by the first?

• A. 7%
• B. 8%
• C. 9%
• D. 10%

Answer 1

The correct option is D

10%

Let the third number is x.
Then the first number = (100-30)% of x
= 70% of x = $\frac{70x}{100}$
Similarly, second number is $\frac{63x}{100}$.
Difference = $\frac{70x}{100}-\frac{63x}{100}=\frac{7x}{100}$

So, required percentage is
$\Rightarrow \frac{7x}{100}\times \frac{100}{70x}\times 100$% = $10\%$