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In a survey of prime membership users on four major platforms, it is found that 20% of the total prime members are on Amazon Prime, 50% of the remaining are on Netflix Premium, 30% of the rest are on Hotstar Premium, and the remaining 6300 are on YouTube Premium. Find the total number of prime members on these major platforms.

1. 32500
2. 17500
3. 27000
4. 22500

Correct answer: 22500

Solution

Let the total number of members be $x$. After Amazon Prime, remaining members are $80\%$ of $x$; after Netflix Premium, remaining are $50\%$ of that, i.e. $40\%$ of $x$; after Hotstar Premium, remaining are $70\%$ of that, i.e. $28\%$ of $x$. This remaining 28% equals 6300, so $x = 6300/0.28 = 22500$.

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