please show step by step

A new gym is trying to plan some of its expenses. The gym pays $50k/month in rent. They sell memberships for $20 per person per month, but only $10 per month is used for rent (the rest is used to pay staff, upgrade equipment, etc.). The gym pays 3% APR on all money. The gym wants to know: A) How many new members do they need to add each month so that the present worth of all income and expenses over 5 years is equal to zero? Want to make the question harder? B) How many new members each month if the rent increases by 1/10% per month? (Same other conditions) C) If each time a new member signs up their first month is given as a bonus to the sales person, how many members do they need to add per month? (so the same as question A, but now the members sign up is worth $0 for rent the first month. A new gym is trying to plan some of its expenses. The gym pays $50k/month in rent. They sell memberships for $20 per person per month, but only $10 per month is used for rent (the rest is used to pay staff, upgrade equipment, etc.). The gym pays 3% APR on all money. The gym wants to know: A) How many new members do they need to add each month so that the present worth of all income and expenses over 5 years is equal to zero? Want to make the question harder? B) How many new members each month if the rent increases by 1/10% per month? (Same other conditions) C) If each time a new member signs up their first month is given as a bonus to the sales person, how many members do they need to add per month? (so the same as question A, but now the members sign up is worth $0 for rent the first month