PASS10.0
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A SaaS product has 1,000 users.
Question: After one month, how many free users and paid users are expected to remain?
Show the calculation clearly. Do not round intermediate values.
Output format: { "free_users_after_month_1": number, "paid_users_after_month_1": number, "calculation": ["...", "...", "..."], "assumptions": ["..."] }
{ "free_users_after_month_1": 552, "paid_users_after_month_1": 432, "calculation": [ "Initial free users = 1,000 × 60% = 600", "Initial paid users = 1,000 − 600 = 400", "Free users converted = 600 × 8% = 48; free users remaining = 600 − 48 = 552", "Existing paid users churned = 400 × 4% = 16", "Paid users remaining = 400 − 16 + 48 = 432" ], "assumptions": [ "Conversion occurs before churn.", "Newly converted users cannot churn in the same month.", "Churn applies only to paid users who were already paid at the start of the month." ] }
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