From question,

A factory bottles soda Q at the rate of 500 litres every second or, \(500 * 3600\) litres

every hror, \(500 * 3600 * 24\) litres

every dayLet us

assume that every bottle of soda Q is of \(500\) litres.

Hence no of bottles manufactured in the factory = \(\frac{500 * 3600 * 24}{500} = 86400\)

Soda V on the other hand is bottled at the rate of 300 litres every secondTherefore in

1 day total litres filled = \(300 * 24 * 3600\).

We know that the total numbers bottled must be twice the number of Soda Q bottle.Therefore, we can form a eqn to find the volume of each bottle.

\(\frac{300 * 24 * 3600}{x} = 2 * 86400\)

or, \(3 * 24 * 3600 = 1728x\)

solving for \(x\) we get,

\(x = 150\)

Hence volume of soda Q = 500 while volume of soda V = 150

Ratio = \(\frac{500}{150} = \frac{50}{15} = \frac{10}{3}\)

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This is my response to the question and may be incorrect. Feel free to rectify any mistakes