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Difficult sum from IB Physics Paper 1 TZ1 2015

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Hi guys! I have a doubt, can anyone please solve this problem? I am really having difficulty solving it. The markscheme shows the correct answer but not how to solve it. Thanks in advance :)

This is a sum from the IB Physics Paper 1 TZ1 2015

Screen Shot 2016-04-27 at 1.26.38 PM.png

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I'm pretty sure the ratio will be 8/3 as through malus's law we know that I = I(not) cos^2(x), and we also know that 50% of light is lost through the polarizer. By using malus's law we can find i2 and then find the ratio through that. I don't know if that made any sense to you but I have also attached my working to this problem.


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