Question

The number of boxes required to pack 80 packets of biscuits is 4. If a shopkeeper buys 320 packets, then how many boxes will he need to pack them?

• A. 15
• B. 20
• C. 18
• D. 16

Answer 1

The correct option is D 16

Given, the number of boxes required to pack 80 packets is 4.

We know that if the number of packets of biscuits increase, then the number of boxes required to pack them will also increase.

$\text{Number of biscuits}\left(x\right)\propto \text{Number of boxes}\left(y\right)$
$\therefore \frac{x_1}{y_1}=\frac{x_2}{y_2}$

Given,
$x_1=80\text{packets}$
$y_1=4\text{boxes}$
$x_2=320\text{packets}$
$\text{and}{y}_2=\text{boxes required}$
$\Rightarrow y_2=\frac{x_2\times y_1}{x_1}$
$\Rightarrow y_2=\frac{320\times 4}{80}=16$

So, number of boxes required to pack 320 packets is 16.