Two bicycle-rental companies follow different daily charging schemes.
Company A charges ₹200 on the first day and increases the charge by ₹20 each succeeding day.
Company B charges ₹150 on the first day and increases the charge by ₹30 each succeeding day.
Assume a customer rents a bicycle for consecutive days under one company.
Answer the following.
(i) Obtain an expression for the amount charged on the nth day by each company.
(ii) Calculate the total amount a customer will pay to each company if the bicycle is rented for exactly 7 days.
(iii) For how many consecutive days will the total amount paid to the two companies be the same? (Take the least positive integer value of n that satisfies this condition.)