Question

$\frac{4}{15}$of $\frac{5}{7}$ of a number is greater than $\frac{4}{9}$ of $\frac{2}{5}$ of the same number by $8$. What is half of that number?

• A. $630$
• B. $315$
• C. $210$
• D. $105$

Answer 1

The correct option is B $315$

Let the number be $x$

So from the question, we have

$\frac{4}{15}.\frac{5}{7}.x-\frac{4}{9}.\frac{2}{5}.x=8$

$\Rightarrow \frac{4x}{21}-\frac{8x}{45}=8$

$\Rightarrow x=\frac{24\times 7\times 15}{4}$

$\Rightarrow x=6\times 7\times 15$

$\Rightarrow x=630$

Half of that number is equal to $315$.