Question

A sum of money is divided into $2$ parts such that $6$ times of one part added to $15$ times the other gives $8$ times the whole. What is the ratio of one part to the other?

• A. $5:2$
  
• B. $4:9$
  
• C. $7:6$
  
• D. None of these
  

Answer 1

The correct option is D None of these

Let two parts of money be Rs. $x$ and Rs. $y$.
Then, according to the given condition,

$\Rightarrow 6x+15y=8(x+y)$
$\Rightarrow 6x+15y=8x+8y$
$\Rightarrow 2x=7y$

$\Rightarrow \frac{x}{y}=\frac{7}{2}$
$\Rightarrow x:y=7:2$

Hence, option D.