Question

If $2$ kg of almonds cost as much as $8$ kg of walnuts and the cost of $5$ kg of almonds and $16$ kg of walnuts is Rs. $1080$, the cost of almonds per kg is

• A. Rs. $160$
• B. Rs. $150$
• C. Rs. $120$
• D. Rs. $140$

Answer 1

The correct option is C Rs. $120$

Let the cost of almond per kg be Rs. $x$ and cost of walnuts per kg be Rs. $y$. Then
$2x=8y\Rightarrow y=\frac{x}{4}$
Given, $5x+16y=1080$
$\Rightarrow 5x+\frac{16\times x}{4}=1080$
$\Rightarrow 9x=1080$

$\Rightarrow x=120$