A solution of orange juice and soda has a ratio of 3:2. If an additional 20 litres of orange juice is poured into the container, what will be the resulting ratio of orange juice to soda?

The correct option is 5:2.

To determine the resulting ratio of orange juice to soda, we analyze how adding orange juice affects the ratio components step-by-step.

Given the initial ratio of orange juice to soda in the container is:
$3:2$

Let $x$ represent the common ratio multiplier. Based on this, the initial volumes of orange juice and soda can be expressed as:
Initial volume of orange juice = $3x$ litres
Initial volume of soda = $2x$ litres

An additional 20 litres of orange juice is added to the container:
New volume of orange juice = $3x+20$ litres
Since no soda is added, the volume of soda remains $2x$ litres.

Comparing the initial ratio parts ($3:2$) with the target ratio ($5:2$):
The soda quantity stays constant at 2 ratio parts.
The orange juice quantity increases from 3 parts to 5 parts, which is an increase of:
$5-3=2$ parts

Since the added 20 litres corresponds to these 2 extra parts:
$2x=20\Rightarrow x=10$

Now, substitute $x=10$ into the volume expressions to calculate the exact quantities:
Initial orange juice volume = $3\times 10=30$ litres
Initial soda volume = $2\times 10=20$ litres
New orange juice volume = $30+20=50$ litres

Finally, calculate the new ratio of orange juice to soda:
$50:20=5:2$